mirror of
https://github.com/pfloos/quack
synced 2024-12-23 04:43:42 +01:00
iterative dynamic correction for BSE
This commit is contained in:
parent
629a166e03
commit
a02bebdd88
@ -2,4 +2,4 @@
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2 1 1 0 0
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2 1 1 0 0
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# Znuc x y z
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# Znuc x y z
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H 0. 0. 0.
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H 0. 0. 0.
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H 0. 0. 3.7
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H 0. 0. 1.4
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125
input/basis
125
input/basis
@ -1,71 +1,92 @@
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1 9
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1 14
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S 8
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S 8
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1 9046.0000000 0.0007000
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1 11420.0000000 0.0005230
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2 1357.0000000 0.0053890
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2 1712.0000000 0.0040450
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3 309.3000000 0.0274060
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3 389.3000000 0.0207750
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4 87.7300000 0.1032070
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4 110.0000000 0.0807270
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5 28.5600000 0.2787230
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5 35.5700000 0.2330740
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6 10.2100000 0.4485400
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6 12.5400000 0.4335010
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7 3.8380000 0.2782380
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7 4.6440000 0.3474720
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8 0.7466000 0.0154400
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8 0.5118000 -0.0085080
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S 8
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S 8
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||||||
1 9046.0000000 -0.0001530
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1 11420.0000000 -0.0001150
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||||||
2 1357.0000000 -0.0012080
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2 1712.0000000 -0.0008950
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||||||
3 309.3000000 -0.0059920
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3 389.3000000 -0.0046240
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4 87.7300000 -0.0245440
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4 110.0000000 -0.0185280
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5 28.5600000 -0.0674590
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5 35.5700000 -0.0573390
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6 10.2100000 -0.1580780
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6 12.5400000 -0.1320760
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||||||
7 3.8380000 -0.1218310
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7 4.6440000 -0.1725100
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8 0.7466000 0.5490030
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8 0.5118000 0.5999440
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S 1
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S 1
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1 0.2248000 1.0000000
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1 1.2930000 1.0000000
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S 1
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S 1
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1 0.0612400 1.0000000
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1 0.1787000 1.0000000
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S 1
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||||||
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1 0.0576000 1.0000000
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P 3
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P 3
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||||||
1 13.5500000 0.0399190
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1 26.6300000 0.0146700
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2 2.9170000 0.2171690
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2 5.9480000 0.0917640
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3 0.7973000 0.5103190
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3 1.7420000 0.2986830
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P 1
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P 1
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1 0.2185000 1.0000000
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1 0.5550000 1.0000000
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P 1
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P 1
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1 0.0561100 1.0000000
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1 0.1725000 1.0000000
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P 1
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1 0.0491000 1.0000000
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D 1
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D 1
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1 0.8170000 1.0000000
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1 1.6540000 1.0000000
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D 1
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D 1
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1 0.2300000 1.0000000
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1 0.4690000 1.0000000
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2 9
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D 1
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1 0.1510000 1.0000000
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F 1
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1 1.0930000 1.0000000
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F 1
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1 0.3640000 1.0000000
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2 14
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S 8
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S 8
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1 9046.0000000 0.0007000
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1 11420.0000000 0.0005230
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||||||
2 1357.0000000 0.0053890
|
2 1712.0000000 0.0040450
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||||||
3 309.3000000 0.0274060
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3 389.3000000 0.0207750
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||||||
4 87.7300000 0.1032070
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4 110.0000000 0.0807270
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||||||
5 28.5600000 0.2787230
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5 35.5700000 0.2330740
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||||||
6 10.2100000 0.4485400
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6 12.5400000 0.4335010
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||||||
7 3.8380000 0.2782380
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7 4.6440000 0.3474720
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8 0.7466000 0.0154400
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8 0.5118000 -0.0085080
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S 8
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S 8
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1 9046.0000000 -0.0001530
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1 11420.0000000 -0.0001150
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2 1357.0000000 -0.0012080
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2 1712.0000000 -0.0008950
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3 309.3000000 -0.0059920
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3 389.3000000 -0.0046240
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4 87.7300000 -0.0245440
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4 110.0000000 -0.0185280
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5 28.5600000 -0.0674590
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5 35.5700000 -0.0573390
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6 10.2100000 -0.1580780
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6 12.5400000 -0.1320760
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7 3.8380000 -0.1218310
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7 4.6440000 -0.1725100
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8 0.7466000 0.5490030
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8 0.5118000 0.5999440
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S 1
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S 1
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1 0.2248000 1.0000000
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1 1.2930000 1.0000000
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S 1
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S 1
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1 0.0612400 1.0000000
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1 0.1787000 1.0000000
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S 1
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1 0.0576000 1.0000000
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P 3
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P 3
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1 13.5500000 0.0399190
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1 26.6300000 0.0146700
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2 2.9170000 0.2171690
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2 5.9480000 0.0917640
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3 0.7973000 0.5103190
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3 1.7420000 0.2986830
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P 1
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P 1
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1 0.2185000 1.0000000
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1 0.5550000 1.0000000
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P 1
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P 1
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1 0.0561100 1.0000000
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1 0.1725000 1.0000000
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P 1
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1 0.0491000 1.0000000
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D 1
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D 1
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1 0.8170000 1.0000000
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1 1.6540000 1.0000000
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D 1
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D 1
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1 0.2300000 1.0000000
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1 0.4690000 1.0000000
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D 1
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1 0.1510000 1.0000000
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F 1
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1 1.0930000 1.0000000
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F 1
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1 0.3640000 1.0000000
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@ -13,7 +13,7 @@
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# G0F2 evGF2 G0F3 evGF3
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# G0F2 evGF2 G0F3 evGF3
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F F F F
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F F F F
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# G0W0 evGW qsGW
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# G0W0 evGW qsGW
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T T F
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T F F
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# G0T0 evGT qsGT
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# G0T0 evGT qsGT
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F F F
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F F F
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# MCMP2
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# MCMP2
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@ -9,7 +9,7 @@
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# GF: maxSCF thresh DIIS n_diis lin renorm
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# GF: maxSCF thresh DIIS n_diis lin renorm
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256 0.00001 T 5 T 3
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256 0.00001 T 5 T 3
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# GW/GT: maxSCF thresh DIIS n_diis COHSEX SOSEX BSE TDA G0W GW0 lin eta
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# GW/GT: maxSCF thresh DIIS n_diis COHSEX SOSEX BSE TDA G0W GW0 lin eta
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256 0.00001 T 5 F F T F F F T 0.00367493
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256 0.00001 T 10 F F T F F F T 0.00367493
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# ACFDT: AC Kx XBS
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# ACFDT: AC Kx XBS
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F F T
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F F T
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# MCMP2: nMC nEq nWalk dt nPrint iSeed doDrift
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# MCMP2: nMC nEq nWalk dt nPrint iSeed doDrift
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125
input/weight
125
input/weight
@ -1,71 +1,92 @@
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1 9
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1 14
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S 8
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S 8
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1 9046.0000000 0.0007000
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1 11420.0000000 0.0005230
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2 1357.0000000 0.0053890
|
2 1712.0000000 0.0040450
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||||||
3 309.3000000 0.0274060
|
3 389.3000000 0.0207750
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4 87.7300000 0.1032070
|
4 110.0000000 0.0807270
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5 28.5600000 0.2787230
|
5 35.5700000 0.2330740
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6 10.2100000 0.4485400
|
6 12.5400000 0.4335010
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||||||
7 3.8380000 0.2782380
|
7 4.6440000 0.3474720
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8 0.7466000 0.0154400
|
8 0.5118000 -0.0085080
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S 8
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S 8
|
||||||
1 9046.0000000 -0.0001530
|
1 11420.0000000 -0.0001150
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||||||
2 1357.0000000 -0.0012080
|
2 1712.0000000 -0.0008950
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3 309.3000000 -0.0059920
|
3 389.3000000 -0.0046240
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4 87.7300000 -0.0245440
|
4 110.0000000 -0.0185280
|
||||||
5 28.5600000 -0.0674590
|
5 35.5700000 -0.0573390
|
||||||
6 10.2100000 -0.1580780
|
6 12.5400000 -0.1320760
|
||||||
7 3.8380000 -0.1218310
|
7 4.6440000 -0.1725100
|
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8 0.7466000 0.5490030
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8 0.5118000 0.5999440
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S 1
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S 1
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1 0.2248000 1.0000000
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1 1.2930000 1.0000000
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S 1
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S 1
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1 0.0612400 1.0000000
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1 0.1787000 1.0000000
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S 1
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1 0.0576000 1.0000000
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P 3
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P 3
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1 13.5500000 0.0399190
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1 26.6300000 0.0146700
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2 2.9170000 0.2171690
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2 5.9480000 0.0917640
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3 0.7973000 0.5103190
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3 1.7420000 0.2986830
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P 1
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P 1
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1 0.2185000 1.0000000
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1 0.5550000 1.0000000
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P 1
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P 1
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||||||
1 0.0561100 1.0000000
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1 0.1725000 1.0000000
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P 1
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1 0.0491000 1.0000000
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D 1
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D 1
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1 0.8170000 1.0000000
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1 1.6540000 1.0000000
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D 1
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D 1
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1 0.2300000 1.0000000
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1 0.4690000 1.0000000
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2 9
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D 1
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||||||
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1 0.1510000 1.0000000
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F 1
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1 1.0930000 1.0000000
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F 1
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1 0.3640000 1.0000000
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2 14
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S 8
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S 8
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1 9046.0000000 0.0007000
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1 11420.0000000 0.0005230
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||||||
2 1357.0000000 0.0053890
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2 1712.0000000 0.0040450
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||||||
3 309.3000000 0.0274060
|
3 389.3000000 0.0207750
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||||||
4 87.7300000 0.1032070
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4 110.0000000 0.0807270
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||||||
5 28.5600000 0.2787230
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5 35.5700000 0.2330740
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||||||
6 10.2100000 0.4485400
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6 12.5400000 0.4335010
|
||||||
7 3.8380000 0.2782380
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7 4.6440000 0.3474720
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||||||
8 0.7466000 0.0154400
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8 0.5118000 -0.0085080
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||||||
S 8
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S 8
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||||||
1 9046.0000000 -0.0001530
|
1 11420.0000000 -0.0001150
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||||||
2 1357.0000000 -0.0012080
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2 1712.0000000 -0.0008950
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||||||
3 309.3000000 -0.0059920
|
3 389.3000000 -0.0046240
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||||||
4 87.7300000 -0.0245440
|
4 110.0000000 -0.0185280
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||||||
5 28.5600000 -0.0674590
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5 35.5700000 -0.0573390
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||||||
6 10.2100000 -0.1580780
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6 12.5400000 -0.1320760
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||||||
7 3.8380000 -0.1218310
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7 4.6440000 -0.1725100
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||||||
8 0.7466000 0.5490030
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8 0.5118000 0.5999440
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S 1
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S 1
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1 0.2248000 1.0000000
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1 1.2930000 1.0000000
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S 1
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S 1
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1 0.0612400 1.0000000
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1 0.1787000 1.0000000
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S 1
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1 0.0576000 1.0000000
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P 3
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P 3
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1 13.5500000 0.0399190
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1 26.6300000 0.0146700
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2 2.9170000 0.2171690
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2 5.9480000 0.0917640
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3 0.7973000 0.5103190
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3 1.7420000 0.2986830
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P 1
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P 1
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1 0.2185000 1.0000000
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1 0.5550000 1.0000000
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P 1
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P 1
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1 0.0561100 1.0000000
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1 0.1725000 1.0000000
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P 1
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1 0.0491000 1.0000000
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D 1
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D 1
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1 0.8170000 1.0000000
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1 1.6540000 1.0000000
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D 1
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D 1
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1 0.2300000 1.0000000
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1 0.4690000 1.0000000
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D 1
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1 0.1510000 1.0000000
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F 1
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1 1.0930000 1.0000000
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F 1
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1 0.3640000 1.0000000
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@ -25,6 +25,7 @@ subroutine Bethe_Salpeter(TDA,singlet_manifold,triplet_manifold,eta, &
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! Local variables
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! Local variables
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logical :: evDyn = .false.
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integer :: ispin
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integer :: ispin
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double precision,allocatable :: OmBSE(:,:)
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double precision,allocatable :: OmBSE(:,:)
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double precision,allocatable :: XpY_BSE(:,:,:)
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double precision,allocatable :: XpY_BSE(:,:,:)
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@ -66,8 +67,15 @@ subroutine Bethe_Salpeter(TDA,singlet_manifold,triplet_manifold,eta, &
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! Compute dynamic correction for BSE via perturbation theory
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! Compute dynamic correction for BSE via perturbation theory
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if(evDyn) then
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call Bethe_Salpeter_dynamic_perturbation_iterative(TDA,eta,nBas,nC,nO,nV,nR,nS,eGW(:),OmRPA(:,ispin),OmBSE(:,ispin), &
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XpY_BSE(:,:,ispin),XmY_BSE(:,:,ispin),rho_RPA(:,:,:,ispin))
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else
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call Bethe_Salpeter_dynamic_perturbation(TDA,eta,nBas,nC,nO,nV,nR,nS,eGW(:),OmRPA(:,ispin),OmBSE(:,ispin), &
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call Bethe_Salpeter_dynamic_perturbation(TDA,eta,nBas,nC,nO,nV,nR,nS,eGW(:),OmRPA(:,ispin),OmBSE(:,ispin), &
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XpY_BSE(:,:,ispin),XmY_BSE(:,:,ispin),rho_RPA(:,:,:,ispin))
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XpY_BSE(:,:,ispin),XmY_BSE(:,:,ispin),rho_RPA(:,:,:,ispin))
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end if
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end if
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end if
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@ -97,9 +105,15 @@ subroutine Bethe_Salpeter(TDA,singlet_manifold,triplet_manifold,eta, &
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! Compute dynamic correction for BSE via perturbation theory
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! Compute dynamic correction for BSE via perturbation theory
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if(evDyn) then
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call Bethe_Salpeter_dynamic_perturbation_iterative(TDA,eta,nBas,nC,nO,nV,nR,nS,eGW(:),OmRPA(:,ispin),OmBSE(:,ispin), &
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XpY_BSE(:,:,ispin),XmY_BSE(:,:,ispin),rho_RPA(:,:,:,ispin))
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else
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call Bethe_Salpeter_dynamic_perturbation(TDA,eta,nBas,nC,nO,nV,nR,nS,eGW(:),OmRPA(:,ispin),OmBSE(:,ispin), &
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call Bethe_Salpeter_dynamic_perturbation(TDA,eta,nBas,nC,nO,nV,nR,nS,eGW(:),OmRPA(:,ispin),OmBSE(:,ispin), &
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XpY_BSE(:,:,ispin),XmY_BSE(:,:,ispin),rho_RPA(:,:,:,ispin))
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XpY_BSE(:,:,ispin),XmY_BSE(:,:,ispin),rho_RPA(:,:,:,ispin))
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end if
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end if
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end if
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@ -48,12 +48,12 @@ subroutine Bethe_Salpeter_ZB_matrix_dynamic(eta,nBas,nC,nO,nV,nR,nS,lambda,eGW,O
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chi = 0d0
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chi = 0d0
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do kc=1,maxS
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do kc=1,maxS
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eps = (OmBSE - OmRPA(kc) - (eGW(a) - eGW(b)))**2 + eta**2
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chi = chi + rho(i,b,kc)*rho(a,j,kc)*((OmBSE - OmRPA(kc) - (eGW(a) - eGW(b)))/eps)**2
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eps = (OmBSE - OmRPA(kc) - (eGW(j) - eGW(i)))**2 + eta**2
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eps = (OmBSE - OmRPA(kc) - (eGW(j) - eGW(i)))**2 + eta**2
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chi = chi + rho(i,b,kc)*rho(a,j,kc)*((OmBSE - OmRPA(kc) - (eGW(j) - eGW(i)))/eps)**2
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chi = chi + rho(i,b,kc)*rho(a,j,kc)*((OmBSE - OmRPA(kc) - (eGW(j) - eGW(i)))/eps)**2
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eps = (OmBSE - OmRPA(kc) - (eGW(a) - eGW(b)))**2 + eta**2
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chi = chi + rho(i,b,kc)*rho(a,j,kc)*((OmBSE - OmRPA(kc) - (eGW(a) - eGW(b)))/eps)**2
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enddo
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enddo
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ZB_dyn(ia,jb) = ZB_dyn(ia,jb) + 2d0*lambda*chi
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ZB_dyn(ia,jb) = ZB_dyn(ia,jb) + 2d0*lambda*chi
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@ -25,7 +25,7 @@ subroutine Bethe_Salpeter_dynamic_perturbation(TDA,eta,nBas,nC,nO,nV,nR,nS,eGW,O
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! Local variables
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! Local variables
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logical :: TDA_dyn = .false.
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logical :: TDA_dyn = .true.
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integer :: ia
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integer :: ia
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integer,parameter :: maxS = 10
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integer,parameter :: maxS = 10
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double precision :: gapGW
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double precision :: gapGW
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133
src/QuAcK/Bethe_Salpeter_dynamic_perturbation_iterative.f90
Normal file
133
src/QuAcK/Bethe_Salpeter_dynamic_perturbation_iterative.f90
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@ -0,0 +1,133 @@
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subroutine Bethe_Salpeter_dynamic_perturbation_iterative(TDA,eta,nBas,nC,nO,nV,nR,nS,eGW,OmRPA,OmBSE,XpY,XmY,rho)
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! Compute self-consistently the dynamical effects via perturbation theory for BSE
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implicit none
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include 'parameters.h'
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! Input variables
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logical,intent(in) :: TDA
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double precision,intent(in) :: eta
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integer,intent(in) :: nBas
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integer,intent(in) :: nC
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integer,intent(in) :: nO
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integer,intent(in) :: nV
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integer,intent(in) :: nR
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integer,intent(in) :: nS
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double precision,intent(in) :: eGW(nBas)
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double precision,intent(in) :: OmRPA(nS)
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double precision,intent(in) :: OmBSE(nS)
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double precision,intent(in) :: XpY(nS,nS)
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double precision,intent(in) :: XmY(nS,nS)
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double precision,intent(in) :: rho(nBas,nBas,nS)
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! Local variables
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logical :: TDA_dyn = .true.
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integer :: ia
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integer,parameter :: maxS = 10
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double precision :: gapGW
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integer :: nSCF
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integer :: maxSCF = 10
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double precision :: Conv
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double precision :: thresh = 1d-5
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double precision,allocatable :: OmDyn(:)
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double precision,allocatable :: OmOld(:)
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double precision,allocatable :: X(:)
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double precision,allocatable :: Y(:)
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double precision,allocatable :: A_dyn(:,:)
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double precision,allocatable :: B_dyn(:,:)
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double precision,allocatable :: ZA_dyn(:,:)
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double precision,allocatable :: ZB_dyn(:,:)
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! Memory allocation
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allocate(OmDyn(nS),OmOld(nS),X(nS),Y(nS),A_dyn(nS,nS))
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if(.not.TDA_dyn) allocate(B_dyn(nS,nS))
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gapGW = eGW(nO+1) - eGW(nO)
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Conv = 1d0
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nSCF = 0
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OmOld(:) = OmBSE(:)
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write(*,*) '---------------------------------------------------------------------------------------------------'
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write(*,*) ' First-order dynamical correction to static Bethe-Salpeter excitation energies '
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write(*,*) '---------------------------------------------------------------------------------------------------'
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write(*,*)
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do while(Conv > thresh .and. nSCF < maxSCF)
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nSCF = nSCF + 1
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write(*,*) '---------------------------------------------------------------------------------------------------'
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write(*,'(2X,A15,I3)') 'Iteration n.',nSCF
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write(*,*) '---------------------------------------------------------------------------------------------------'
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write(*,'(2X,A5,1X,A20,1X,A20,1X,A20)') '#','Static (eV)','Dynamic (eV)','Correction (eV)'
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write(*,*) '---------------------------------------------------------------------------------------------------'
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do ia=1,min(nS,maxS)
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X(:) = 0.5d0*(XpY(ia,:) + XmY(ia,:))
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Y(:) = 0.5d0*(XpY(ia,:) - XmY(ia,:))
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! Resonant part of the BSE correction
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call Bethe_Salpeter_A_matrix_dynamic(eta,nBas,nC,nO,nV,nR,nS,1d0,eGW(:),OmRPA(:),OmOld(ia),rho(:,:,:),A_dyn(:,:))
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! First-order correction
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if(TDA_dyn) then
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OmDyn(ia) = dot_product(X(:),matmul(A_dyn(:,:),X(:)))
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else
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! Anti-resonant part of the BSE correction
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call Bethe_Salpeter_B_matrix_dynamic(eta,nBas,nC,nO,nV,nR,nS,1d0,eGW(:),OmRPA(:),OmOld(ia),rho(:,:,:),B_dyn(:,:))
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OmDyn(ia) = dot_product(X(:),matmul(A_dyn(:,:),X(:))) &
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- dot_product(Y(:),matmul(A_dyn(:,:),Y(:))) &
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+ dot_product(X(:),matmul(B_dyn(:,:),Y(:))) &
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- dot_product(Y(:),matmul(B_dyn(:,:),X(:)))
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end if
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write(*,'(2X,I5,5X,F15.6,5X,F15.6,5X,F15.6)') &
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ia,OmBSE(ia)*HaToeV,(OmBSE(ia)+OmDyn(ia))*HaToeV,OmDyn(ia)*HaToeV
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if(OmBSE(ia) > gapGW) write(*,*) ' !!! BSE neutral excitation larger than the GW gap !!! '
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end do
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Conv = maxval(abs(OmBSE(:) + OmDyn(:) - OmOld(:)))
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OmOld(:) = OmBSE(:) + OmDyn(:)
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write(*,*) '---------------------------------------------------------------------------------------------------'
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write(*,'(2X,A20,1X,F10.6)') ' Convergence = ',Conv
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write(*,*) '---------------------------------------------------------------------------------------------------'
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write(*,*)
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end do
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! Did it actually converge?
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if(nSCF == maxSCF) then
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write(*,*)
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write(*,*)'!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!'
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write(*,*)' Convergence failed '
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write(*,*)'!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!'
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write(*,*)
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endif
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end subroutine Bethe_Salpeter_dynamic_perturbation_iterative
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@ -13,7 +13,7 @@ subroutine orthogonalization_matrix(ortho_type,nBas,S,X)
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logical :: debug
|
logical :: debug
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double precision,allocatable :: UVec(:,:),Uval(:)
|
double precision,allocatable :: UVec(:,:),Uval(:)
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double precision,parameter :: thresh = 1d-6
|
double precision,parameter :: thresh = 1d-8
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integer :: i
|
integer :: i
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@ -43,16 +43,14 @@ subroutine orthogonalization_matrix(ortho_type,nBas,S,X)
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do i=1,nBas
|
do i=1,nBas
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if(Uval(i) > thresh) then
|
if(Uval(i) < thresh) then
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Uval(i) = 1d0/sqrt(Uval(i))
|
write(*,*) 'Eigenvalue',i,'is very small in Lowdin orthogonalization = ',Uval(i)
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else
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write(*,*) 'Eigenvalue',i,'too small for Lowdin orthogonalization'
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endif
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endif
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Uval(i) = 1d0/sqrt(Uval(i))
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enddo
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enddo
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call ADAt(nBas,Uvec,Uval,X)
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call ADAt(nBas,Uvec,Uval,X)
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@ -37,7 +37,7 @@ subroutine read_molecule(nNuc,nEl,nO,nC,nR)
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|
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nO(:) = nEl(:)
|
nO(:) = nEl(:)
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nC(:) = nCore/2
|
nC(:) = nCore/2
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nR(:) = nRyd/2
|
nR(:) = nRyd
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|
|
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! Print results
|
! Print results
|
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|
|
||||||
|
Loading…
Reference in New Issue
Block a user