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mirror of https://github.com/pfloos/quack synced 2024-11-05 13:43:51 +01:00

huckel guess and ppRPA

This commit is contained in:
Pierre-Francois Loos 2019-10-05 22:06:25 +02:00
parent 55f7bffd76
commit 883a07db16
13 changed files with 402 additions and 124 deletions

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@ -1,58 +1,9 @@
1 6 1 3
S 8 1.00 S 3 1.00
9046.0000000 0.0007000 38.3600000 0.0238090
1357.0000000 0.0053890 5.7700000 0.1548910
309.3000000 0.0274060 1.2400000 0.4699870
87.7300000 0.1032070
28.5600000 0.2787230
10.2100000 0.4485400
3.8380000 0.2782380
0.7466000 0.0154400
S 8 1.00
9046.0000000 -0.0001530
1357.0000000 -0.0012080
309.3000000 -0.0059920
87.7300000 -0.0245440
28.5600000 -0.0674590
10.2100000 -0.1580780
3.8380000 -0.1218310
0.7466000 0.5490030
S 1 1.00 S 1 1.00
0.2248000 1.0000000 0.2976000 1.0000000
P 3 1.00
13.5500000 0.0399190
2.9170000 0.2171690
0.7973000 0.5103190
P 1 1.00 P 1 1.00
0.2185000 1.0000000 1.2750000 1.0000000
D 1 1.00
0.8170000 1.0000000
2 6
S 8 1.00
9046.0000000 0.0007000
1357.0000000 0.0053890
309.3000000 0.0274060
87.7300000 0.1032070
28.5600000 0.2787230
10.2100000 0.4485400
3.8380000 0.2782380
0.7466000 0.0154400
S 8 1.00
9046.0000000 -0.0001530
1357.0000000 -0.0012080
309.3000000 -0.0059920
87.7300000 -0.0245440
28.5600000 -0.0674590
10.2100000 -0.1580780
3.8380000 -0.1218310
0.7466000 0.5490030
S 1 1.00
0.2248000 1.0000000
P 3 1.00
13.5500000 0.0399190
2.9170000 0.2171690
0.7973000 0.5103190
P 1 1.00
0.2185000 1.0000000
D 1 1.00
0.8170000 1.0000000

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@ -5,10 +5,10 @@
# CCD CCSD CCSD(T) # CCD CCSD CCSD(T)
F F F F F F
# CIS TDHF ADC # CIS TDHF ADC
T T F F T F
# GF2 GF3 # GF2 GF3
F F F F
# G0W0 evGW qsGW # G0W0 evGW qsGW
T T F F F F
# MCMP2 # MCMP2
F F

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@ -1,5 +1,4 @@
# nAt nEla nElb nCore nRyd # nAt nEla nElb nCore nRyd
2 7 7 0 0 1 1 1 0 0
# Znuc x y z # Znuc x y z
N 0. 0. 0. He 0.0 0.0 0.0
N 0. 0. 3.4

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@ -4,8 +4,8 @@
# CC: maxSCF thresh DIIS n_diis # CC: maxSCF thresh DIIS n_diis
64 0.00001 F 1 64 0.00001 F 1
# CIS/TDHF: singlet triplet # CIS/TDHF/BSE: singlet triplet
T T T F
# GF: maxSCF thresh DIIS n_diis renormalization # GF: maxSCF thresh DIIS n_diis renormalization
64 0.00001 T 10 3 64 0.00001 T 10 3
# GW: maxSCF thresh DIIS n_diis COHSEX SOSEX BSE TDA G0W GW0 linearize eta # GW: maxSCF thresh DIIS n_diis COHSEX SOSEX BSE TDA G0W GW0 linearize eta

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@ -1,58 +1,9 @@
1 6 1 3
S 8 1.00 S 3 1.00
9046.0000000 0.0007000 38.3600000 0.0238090
1357.0000000 0.0053890 5.7700000 0.1548910
309.3000000 0.0274060 1.2400000 0.4699870
87.7300000 0.1032070
28.5600000 0.2787230
10.2100000 0.4485400
3.8380000 0.2782380
0.7466000 0.0154400
S 8 1.00
9046.0000000 -0.0001530
1357.0000000 -0.0012080
309.3000000 -0.0059920
87.7300000 -0.0245440
28.5600000 -0.0674590
10.2100000 -0.1580780
3.8380000 -0.1218310
0.7466000 0.5490030
S 1 1.00 S 1 1.00
0.2248000 1.0000000 0.2976000 1.0000000
P 3 1.00
13.5500000 0.0399190
2.9170000 0.2171690
0.7973000 0.5103190
P 1 1.00 P 1 1.00
0.2185000 1.0000000 1.2750000 1.0000000
D 1 1.00
0.8170000 1.0000000
2 6
S 8 1.00
9046.0000000 0.0007000
1357.0000000 0.0053890
309.3000000 0.0274060
87.7300000 0.1032070
28.5600000 0.2787230
10.2100000 0.4485400
3.8380000 0.2782380
0.7466000 0.0154400
S 8 1.00
9046.0000000 -0.0001530
1357.0000000 -0.0012080
309.3000000 -0.0059920
87.7300000 -0.0245440
28.5600000 -0.0674590
10.2100000 -0.1580780
3.8380000 -0.1218310
0.7466000 0.5490030
S 1 1.00
0.2248000 1.0000000
P 3 1.00
13.5500000 0.0399190
2.9170000 0.2171690
0.7973000 0.5103190
P 1 1.00
0.2185000 1.0000000
D 1 1.00
0.8170000 1.0000000

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@ -66,10 +66,16 @@ subroutine TDHF(singlet_manifold,triplet_manifold,nBas,nC,nO,nV,nR,nS,ENuc,ERHF,
ispin = 1 ispin = 1
call linear_response(ispin,dRPA,TDA,BSE,nBas,nC,nO,nV,nR,nS,e,ERI, & call linear_response(ispin,dRPA,TDA,BSE,nBas,nC,nO,nV,nR,nS,e,ERI,rho, &
rho,EcRPA(ispin),Omega(:,ispin),XpY(:,:,ispin)) EcRPA(ispin),Omega(:,ispin),XpY(:,:,ispin))
call print_excitation('TDHF ',ispin,nS,Omega(:,ispin)) call print_excitation('TDHF ',ispin,nS,Omega(:,ispin))
call linear_response_ph(ispin,dRPA,TDA,BSE,nBas,nC,nO,nV,nR,nS,e,ERI,rho, &
EcRPA(ispin),Omega(:,ispin),XpY(:,:,ispin))
call print_excitation('p-h TDHF ',ispin,nS,Omega(:,ispin))
call linear_response_pp(ispin,dRPA,TDA,BSE,nBas,nC,nO,nV,nR,nS,e,ERI,rho)
endif endif
! Triplet manifold ! Triplet manifold
@ -78,8 +84,8 @@ subroutine TDHF(singlet_manifold,triplet_manifold,nBas,nC,nO,nV,nR,nS,ENuc,ERHF,
ispin = 2 ispin = 2
call linear_response(ispin,dRPA,TDA,BSE,nBas,nC,nO,nV,nR,nS,e,ERI, & call linear_response(ispin,dRPA,TDA,BSE,nBas,nC,nO,nV,nR,nS,e,ERI,rho, &
rho,EcRPA(ispin),Omega(:,ispin),XpY(:,:,ispin)) EcRPA(ispin),Omega(:,ispin),XpY(:,:,ispin))
call print_excitation('TDHF ',ispin,nS,Omega(:,ispin)) call print_excitation('TDHF ',ispin,nS,Omega(:,ispin))
endif endif

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@ -0,0 +1,61 @@
subroutine huckel_guess(nBas,nO,S,Hc,ERI,J,K,X,cp,Fp,e,c,P)
! Hickel guess of the molecular orbitals for HF calculation
implicit none
! Input variables
integer,intent(in) :: nBas
integer,intent(in) :: nO
double precision,intent(in) :: S(nBas,nBas)
double precision,intent(in) :: Hc(nBas,nBas)
double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas)
double precision,intent(inout):: J(nBas,nBas)
double precision,intent(inout):: K(nBas,nBas)
double precision,intent(in) :: X(nBas,nBas)
double precision,intent(inout):: cp(nBas,nBas)
double precision,intent(inout):: Fp(nBas,nBas)
double precision,intent(inout):: e(nBas)
double precision,intent(inout):: P(nBas,nBas)
! Local variables
integer :: mu,nu
double precision :: a
! Output variables
double precision,intent(out) :: c(nBas,nBas)
a = 1.75d0
Fp = matmul(transpose(X),matmul(Hc,X))
cp(:,:) = Fp(:,:)
call diagonalize_matrix(nBas,cp,e)
c = matmul(X,cp)
P(:,:) = 2d0*matmul(c(:,1:nO),transpose(c(:,1:nO)))
call Coulomb_matrix_AO_basis(nBas,P,ERI,J)
call exchange_matrix_AO_basis(nBas,P,ERI,K)
do mu=1,nBas
Fp(mu,mu) = Hc(mu,mu) + J(mu,mu) + 0.5d0*K(mu,mu)
do nu=mu+1,nBas
Fp(mu,nu) = 0.5d0*a*S(mu,nu)*(Hc(mu,mu) + Hc(nu,nu))
Fp(nu,mu) = Fp(mu,nu)
enddo
enddo
Fp = matmul(transpose(X),matmul(Fp,X))
cp(:,:) = Fp(:,:)
call diagonalize_matrix(nBas,cp,e)
c = matmul(X,cp)
end subroutine

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@ -90,6 +90,6 @@ subroutine linear_response(ispin,dRPA,TDA,BSE,nBas,nC,nO,nV,nR,nS,e,ERI,rho,EcRP
EcRPA = 0.5d0*(sum(Omega) - trace_matrix(nS,A)) EcRPA = 0.5d0*(sum(Omega) - trace_matrix(nS,A))
! print*,'EcRPA = ',EcRPA print*,'EcRPA = ',EcRPA
end subroutine linear_response end subroutine linear_response

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@ -0,0 +1,56 @@
subroutine linear_response_B_pp(ispin,dRPA,nBas,nC,nO,nV,nR,nOO,nVV,e,ERI,B_pp)
! Compute the B matrix of the pp channel
implicit none
include 'parameters.h'
! Input variables
integer,intent(in) :: ispin
logical,intent(in) :: dRPA
integer,intent(in) :: nBas,nC,nO,nV,nR,nOO,nVV
double precision,intent(in) :: e(nBas),ERI(nBas,nBas,nBas,nBas)
! Local variables
double precision :: delta_spin
double precision :: delta_dRPA
double precision,external :: Kronecker_delta
integer :: a,b,i,j,ab,ij
! Output variables
double precision,intent(out) :: B_pp(nVV,nOO)
! Singlet or triplet manifold?
delta_spin = 0d0
if(ispin == 1) delta_spin = +1d0
if(ispin == 2) delta_spin = -1d0
! Direct RPA
delta_dRPA = 0d0
if(dRPA) delta_dRPA = 1d0
! Build A matrix
ab = 0
do a=nO+1,nBas-nR
do b=nO+1,nBas-nR
ab = ab + 1
ij = 0
do i=nC+1,nO
do j=nC+1,nO
ij = ij + 1
B_pp(ab,ij) = (1d0 + delta_spin)*ERI(a,b,i,j) - (1d0 - delta_dRPA)*ERI(a,b,j,j)
enddo
enddo
enddo
enddo
end subroutine linear_response_B_pp

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@ -0,0 +1,57 @@
subroutine linear_response_C_pp(ispin,dRPA,nBas,nC,nO,nV,nR,nOO,nVV,e,ERI,C_pp)
! Compute the C matrix of the pp channel
implicit none
include 'parameters.h'
! Input variables
integer,intent(in) :: ispin
logical,intent(in) :: dRPA
integer,intent(in) :: nBas,nC,nO,nV,nR,nOO,nVV
double precision,intent(in) :: e(nBas),ERI(nBas,nBas,nBas,nBas)
! Local variables
double precision :: delta_spin
double precision :: delta_dRPA
double precision,external :: Kronecker_delta
integer :: a,b,c,d,ab,cd
! Output variables
double precision,intent(out) :: C_pp(nVV,nVV)
! Singlet or triplet manifold?
delta_spin = 0d0
if(ispin == 1) delta_spin = +1d0
if(ispin == 2) delta_spin = -1d0
! Direct RPA
delta_dRPA = 0d0
if(dRPA) delta_dRPA = 1d0
! Build A matrix
ab = 0
do a=nO+1,nBas-nR
do b=nO+1,nBas-nR
ab = ab + 1
cd = 0
do c=nO+1,nBas-nR
do d=nO+1,nBas-nR
cd = cd + 1
C_pp(ab,cd) = (e(a) + e(b))*Kronecker_delta(a,c)*Kronecker_delta(b,d) &
+ (1d0 + delta_spin)*ERI(a,b,c,d) - (1d0 - delta_dRPA)*ERI(a,b,d,c)
enddo
enddo
enddo
enddo
end subroutine linear_response_C_pp

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@ -0,0 +1,57 @@
subroutine linear_response_D_pp(ispin,dRPA,nBas,nC,nO,nV,nR,nOO,nVV,e,ERI,D_pp)
! Compute the D matrix of the pp channel
implicit none
include 'parameters.h'
! Input variables
integer,intent(in) :: ispin
logical,intent(in) :: dRPA
integer,intent(in) :: nBas,nC,nO,nV,nR,nOO,nVV
double precision,intent(in) :: e(nBas),ERI(nBas,nBas,nBas,nBas)
! Local variables
double precision :: delta_spin
double precision :: delta_dRPA
double precision,external :: Kronecker_delta
integer :: i,j,k,l,ij,kl
! Output variables
double precision,intent(out) :: D_pp(nOO,nOO)
! Singlet or triplet manifold?
delta_spin = 0d0
if(ispin == 1) delta_spin = +1d0
if(ispin == 2) delta_spin = -1d0
! Direct RPA
delta_dRPA = 0d0
if(dRPA) delta_dRPA = 1d0
! Build A matrix
ij = 0
do i=nC+1,nO
do j=nC+1,nO
ij = ij + 1
kl = 0
do k=nC+1,nO
do l=nC+1,nO
kl = kl + 1
D_pp(ij,kl) = - (e(i) + e(j))*Kronecker_delta(i,k)*Kronecker_delta(j,l) &
+ (1d0 + delta_spin)*ERI(k,l,i,j) - (1d0 - delta_dRPA)*ERI(k,l,j,i)
enddo
enddo
enddo
enddo
end subroutine linear_response_D_pp

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@ -0,0 +1,89 @@
subroutine linear_response_pp(ispin,dRPA,TDA,BSE,nBas,nC,nO,nV,nR,nS,e,ERI,rho)
! Compute the p-p channel of the linear response
implicit none
include 'parameters.h'
! Input variables
logical,intent(in) :: dRPA
logical,intent(in) :: TDA
logical,intent(in) :: BSE
integer,intent(in) :: ispin,nBas,nC,nO,nV,nR,nS
double precision,intent(in) :: e(nBas)
double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas)
double precision,intent(in) :: rho(nBas,nBas,nS)
! Local variables
integer :: nOO
integer :: nVV
double precision :: trace_matrix
double precision,allocatable :: B(:,:)
double precision,allocatable :: C(:,:)
double precision,allocatable :: D(:,:)
double precision,allocatable :: M(:,:)
double precision,allocatable :: w(:)
double precision :: Ec_ppRPA
! Output variables
! Useful quantities
nOO = nO*nO
nVV = nV*nV
! Memory allocation
allocate(B(nVV,nOO),C(nVV,nVV),D(nOO,nOO),M(nOO+nVV,nOO+nVV),w(nOO+nVV))
! Build B, C and D matrices for the pp channel
call linear_response_B_pp(ispin,dRPA,nBas,nC,nO,nV,nR,nOO,nVV,e,ERI,B)
call linear_response_C_pp(ispin,dRPA,nBas,nC,nO,nV,nR,nOO,nVV,e,ERI,C)
call linear_response_D_pp(ispin,dRPA,nBas,nC,nO,nV,nR,nOO,nVV,e,ERI,D)
!------------------------------------------------------------------------
! Solve the p-p eigenproblem
!------------------------------------------------------------------------
!
! | C -B | | X1 X2 | | w1 0 | | X1 X2 |
! | | | | = | | | |
! | Bt -D | | Y1 Y2 | | 0 w2 | | Y1 Y2 |
!
! Diagonal blocks
M( 1:nVV , 1:nVV) = +C(1:nVV,1:nVV)
M(nVV+1:nVV+nOO,nVV+1:nVV+nOO) = -D(1:nOO,1:nOO)
! Off-diagonal blocks
M(1:nOO,nOO+1:nOO+nVV) = +transpose(B(1:nVV,1:nOO))
M(nOO+1:nOO+nVV,1:nOO) = - B(1:nVV,1:nOO)
print*, 'pp-RPA matrix'
call matout(nOO+nVV,nOO+nVV,M(:,:))
! Diagonalize the p-h matrix
call diagonalize_matrix(nOO+nVV,M(:,:),w(:))
! Build X+Y
! XpY(1:nS,1:nS) = M(nS+1:2*nS,1:nS) + M(nS+1:2*nS,nS+1:2*nS)
! print*,'X+Y'
! call matout(nS,nS,XpY)
print*,'pp-RPA excitation energies'
call matout(2*nS,1,w)
! Compute the RPA correlation energy
Ec_ppRPA = 0.5d0*(sum(abs(w)) - trace_matrix(nVV,C) - trace_matrix(nOO,D))
print*,'Ec(pp-RPA) = ',Ec_ppRPA
end subroutine linear_response_pp

51
src/QuAcK/mo_guess.f90 Normal file
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@ -0,0 +1,51 @@
subroutine mo_guess(nBas,nO,guess_type,S,Hc,ERI,J,K,X,cp,Fp,e,c,P)
! Guess of the molecular orbitals for HF calculation
implicit none
! Input variables
integer,intent(in) :: nBas
integer,intent(in) :: nO
integer,intent(in) :: guess_type
double precision,intent(in) :: S(nBas,nBas)
double precision,intent(in) :: Hc(nBas,nBas)
double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas)
double precision,intent(inout):: J(nBas,nBas)
double precision,intent(inout):: K(nBas,nBas)
double precision,intent(in) :: X(nBas,nBas)
double precision,intent(inout):: cp(nBas,nBas)
double precision,intent(inout):: Fp(nBas,nBas)
double precision,intent(inout):: e(nBas)
double precision,intent(inout):: P(nBas,nBas)
! Local variables
integer :: nSCF
! Output variables
double precision,intent(out) :: c(nBas,nBas)
if(guess_type == 1) then
Fp = matmul(transpose(X),matmul(Hc,X))
cp(:,:) = Fp(:,:)
call diagonalize_matrix(nBas,cp,e)
c = matmul(X,cp)
elseif(guess_type == 2) then
call huckel_guess(nBas,nO,S,Hc,ERI,J,K,X,cp,Fp,e,c,P)
elseif(guess_type == 3) then
call random_number(c)
endif
P(:,:) = 2d0*matmul(c(:,1:nO),transpose(c(:,1:nO)))
end subroutine