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https://github.com/pfloos/quack
synced 2024-12-22 12:23:42 +01:00
ppBSE upfolded written
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767db708c9
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@ -1,5 +1,5 @@
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subroutine RGW_phBSE(dophBSE2,exchange_kernel,TDA_W,TDA,dBSE,dTDA,singlet,triplet,eta, &
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nBas,nC,nO,nV,nR,nS,ERI,dipole_int,eW,eGW,EcBSE)
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nOrb,nC,nO,nV,nR,nS,ERI,dipole_int,eW,eGW,EcBSE)
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! Compute the Bethe-Salpeter excitation energies
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@ -18,16 +18,16 @@ subroutine RGW_phBSE(dophBSE2,exchange_kernel,TDA_W,TDA,dBSE,dTDA,singlet,triple
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logical,intent(in) :: triplet
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double precision,intent(in) :: eta
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integer,intent(in) :: nBas
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integer,intent(in) :: nOrb
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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) :: eW(nBas)
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double precision,intent(in) :: eGW(nBas)
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double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas)
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double precision,intent(in) :: dipole_int(nBas,nBas,ncart)
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double precision,intent(in) :: eW(nOrb)
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double precision,intent(in) :: eGW(nOrb)
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double precision,intent(in) :: ERI(nOrb,nOrb,nOrb,nOrb)
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double precision,intent(in) :: dipole_int(nOrb,nOrb,ncart)
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! Local variables
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@ -61,10 +61,19 @@ subroutine RGW_phBSE(dophBSE2,exchange_kernel,TDA_W,TDA,dBSE,dTDA,singlet,triple
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! Memory allocation
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allocate(OmRPA(nS),XpY_RPA(nS,nS),XmY_RPA(nS,nS),rho_RPA(nBas,nBas,nS), &
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allocate(OmRPA(nS),XpY_RPA(nS,nS),XmY_RPA(nS,nS),rho_RPA(nOrb,nOrb,nS), &
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Aph(nS,nS),Bph(nS,nS),KA_sta(nS,nS),KB_sta(nS,nS), &
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OmBSE(nS),XpY_BSE(nS,nS),XmY_BSE(nS,nS))
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!-----!
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! TDA !
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!-----!
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if(TDA) then
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write(*,*) 'Tamm-Dancoff approximation activated in phBSE!'
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write(*,*)
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end if
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! Initialization
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EcBSE(:) = 0d0
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@ -76,23 +85,14 @@ subroutine RGW_phBSE(dophBSE2,exchange_kernel,TDA_W,TDA,dBSE,dTDA,singlet,triple
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isp_W = 1
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EcRPA = 0d0
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call phLR_A(isp_W,dRPA_W,nBas,nC,nO,nV,nR,nS,1d0,eW,ERI,Aph)
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if(.not.TDA_W) call phLR_B(isp_W,dRPA_W,nBas,nC,nO,nV,nR,nS,1d0,ERI,Bph)
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call phLR_A(isp_W,dRPA_W,nOrb,nC,nO,nV,nR,nS,1d0,eW,ERI,Aph)
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if(.not.TDA_W) call phLR_B(isp_W,dRPA_W,nOrb,nC,nO,nV,nR,nS,1d0,ERI,Bph)
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call phLR(TDA_W,nS,Aph,Bph,EcRPA,OmRPA,XpY_RPA,XmY_RPA)
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call RGW_excitation_density(nBas,nC,nO,nR,nS,ERI,XpY_RPA,rho_RPA)
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call RGW_excitation_density(nOrb,nC,nO,nR,nS,ERI,XpY_RPA,rho_RPA)
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call RGW_phBSE_static_kernel_A(eta,nBas,nC,nO,nV,nR,nS,1d0,ERI,OmRPA,rho_RPA,KA_sta)
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call RGW_phBSE_static_kernel_B(eta,nBas,nC,nO,nV,nR,nS,1d0,ERI,OmRPA,rho_RPA,KB_sta)
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!-----!
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! TDA !
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!-----!
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if(TDA) then
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write(*,*) 'Tamm-Dancoff approximation activated in phBSE!'
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write(*,*)
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end if
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call RGW_phBSE_static_kernel_A(eta,nOrb,nC,nO,nV,nR,nS,1d0,ERI,OmRPA,rho_RPA,KA_sta)
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call RGW_phBSE_static_kernel_B(eta,nOrb,nC,nO,nV,nR,nS,1d0,ERI,OmRPA,rho_RPA,KB_sta)
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!-------------------
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! Singlet manifold
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@ -104,23 +104,23 @@ subroutine RGW_phBSE(dophBSE2,exchange_kernel,TDA_W,TDA,dBSE,dTDA,singlet,triple
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! Compute BSE excitation energies
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call phLR_A(ispin,dRPA,nBas,nC,nO,nV,nR,nS,1d0,eGW,ERI,Aph)
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if(.not.TDA) call phLR_B(ispin,dRPA,nBas,nC,nO,nV,nR,nS,1d0,ERI,Bph)
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call phLR_A(ispin,dRPA,nOrb,nC,nO,nV,nR,nS,1d0,eGW,ERI,Aph)
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if(.not.TDA) call phLR_B(ispin,dRPA,nOrb,nC,nO,nV,nR,nS,1d0,ERI,Bph)
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! Second-order BSE static kernel
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if(dophBSE2) then
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allocate(W(nBas,nBas,nBas,nBas))
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allocate(W(nOrb,nOrb,nOrb,nOrb))
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write(*,*)
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write(*,*) '*** Second-order BSE static kernel activated! ***'
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write(*,*)
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call RGW_phBSE_static_kernel(eta,nBas,nC,nO,nV,nR,nS,1d0,ERI,OmRPA,rho_RPA,W)
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call RGW_phBSE2_static_kernel_A(eta,nBas,nC,nO,nV,nR,nS,1d0,eW,W,KA_sta)
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call RGW_phBSE_static_kernel(eta,nOrb,nC,nO,nV,nR,nS,1d0,ERI,OmRPA,rho_RPA,W)
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call RGW_phBSE2_static_kernel_A(eta,nOrb,nC,nO,nV,nR,nS,1d0,eW,W,KA_sta)
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if(.not.TDA) call RGW_phBSE2_static_kernel_B(eta,nBas,nC,nO,nV,nR,nS,1d0,eW,W,KB_sta)
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if(.not.TDA) call RGW_phBSE2_static_kernel_B(eta,nOrb,nC,nO,nV,nR,nS,1d0,eW,W,KB_sta)
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deallocate(W)
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@ -132,22 +132,22 @@ subroutine RGW_phBSE(dophBSE2,exchange_kernel,TDA_W,TDA,dBSE,dTDA,singlet,triple
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call phLR(TDA,nS,Aph,Bph,EcBSE(ispin),OmBSE,XpY_BSE,XmY_BSE)
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call print_excitation_energies('phBSE@GW@RHF','singlet',nS,OmBSE)
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call phLR_transition_vectors(.true.,nBas,nC,nO,nV,nR,nS,dipole_int,OmBSE,XpY_BSE,XmY_BSE)
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!--------------------!
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! Cumulant expansion !
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!--------------------!
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! call RGWC(.false.,nBas,nC,nO,nR,nS,OmBSE,rho_RPA,eGW)
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call phLR_transition_vectors(.true.,nOrb,nC,nO,nV,nR,nS,dipole_int,OmBSE,XpY_BSE,XmY_BSE)
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!----------------------------------------------------!
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! Compute the dynamical screening at the phBSE level !
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!----------------------------------------------------!
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if(dBSE) &
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call RGW_phBSE_dynamic_perturbation(dophBSE2,dTDA,eta,nBas,nC,nO,nV,nR,nS,eW,eGW,ERI,dipole_int,OmRPA,rho_RPA, &
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call RGW_phBSE_dynamic_perturbation(dophBSE2,dTDA,eta,nOrb,nC,nO,nV,nR,nS,eW,eGW,ERI,dipole_int,OmRPA,rho_RPA, &
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OmBSE,XpY_BSE,XmY_BSE,KA_sta,KB_sta)
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!----------------!
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! Upfolded phBSE !
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!----------------!
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call RGW_phBSE_upfolded(ispin,nOrb,nOrb,nC,nO,nV,nR,nS,ERI,rho_RPA,OmRPA,eGW)
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end if
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!-------------------
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@ -160,8 +160,8 @@ subroutine RGW_phBSE(dophBSE2,exchange_kernel,TDA_W,TDA,dBSE,dTDA,singlet,triple
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! Compute BSE excitation energies
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call phLR_A(ispin,dRPA,nBas,nC,nO,nV,nR,nS,1d0,eGW,ERI,Aph)
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if(.not.TDA) call phLR_B(ispin,dRPA,nBas,nC,nO,nV,nR,nS,1d0,ERI,Bph)
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call phLR_A(ispin,dRPA,nOrb,nC,nO,nV,nR,nS,1d0,eGW,ERI,Aph)
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if(.not.TDA) call phLR_B(ispin,dRPA,nOrb,nC,nO,nV,nR,nS,1d0,ERI,Bph)
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Aph(:,:) = Aph(:,:) + KA_sta(:,:)
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if(.not.TDA) Bph(:,:) = Bph(:,:) + KB_sta(:,:)
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@ -169,16 +169,22 @@ subroutine RGW_phBSE(dophBSE2,exchange_kernel,TDA_W,TDA,dBSE,dTDA,singlet,triple
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call phLR(TDA,nS,Aph,Bph,EcBSE(ispin),OmBSE,XpY_BSE,XmY_BSE)
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call print_excitation_energies('phBSE@GW@RHF','triplet',nS,OmBSE)
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call phLR_transition_vectors(.false.,nBas,nC,nO,nV,nR,nS,dipole_int,OmBSE,XpY_BSE,XmY_BSE)
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call phLR_transition_vectors(.false.,nOrb,nC,nO,nV,nR,nS,dipole_int,OmBSE,XpY_BSE,XmY_BSE)
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!-------------------------------------------------
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! Compute the dynamical screening at the BSE level
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!-------------------------------------------------
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if(dBSE) &
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call RGW_phBSE_dynamic_perturbation(dophBSE2,dTDA,eta,nBas,nC,nO,nV,nR,nS,eW,eGW,ERI,dipole_int,OmRPA,rho_RPA, &
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call RGW_phBSE_dynamic_perturbation(dophBSE2,dTDA,eta,nOrb,nC,nO,nV,nR,nS,eW,eGW,ERI,dipole_int,OmRPA,rho_RPA, &
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OmBSE,XpY_BSE,XmY_BSE,KA_sta,KB_sta)
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!----------------!
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! Upfolded phBSE !
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!----------------!
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call RGW_phBSE_upfolded(ispin,nOrb,nOrb,nC,nO,nV,nR,nS,ERI,rho_RPA,OmRPA,eGW)
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end if
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! Scale properly correlation energy if exchange is included in interaction kernel
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@ -1,12 +1,13 @@
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subroutine RGW_phBSE_upfolded(nBas,nOrb,nC,nO,nV,nR,nS,ENuc,ERHF,ERI,eHF,eGW)
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subroutine RGW_phBSE_upfolded(ispin,nBas,nOrb,nC,nO,nV,nR,nS,ERI,rho,Om,eGW)
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! Upfolded phBSE@GW (TDA singlets only!)
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! Upfolded phBSE@GW (TDA only!)
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implicit none
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include 'parameters.h'
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! Input variables
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integer,intent(in) :: ispin
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integer,intent(in) :: nBas
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integer,intent(in) :: nOrb
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integer,intent(in) :: nC
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@ -14,10 +15,9 @@ subroutine RGW_phBSE_upfolded(nBas,nOrb,nC,nO,nV,nR,nS,ENuc,ERHF,ERI,eHF,eGW)
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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) :: ENuc
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double precision,intent(in) :: ERHF
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double precision,intent(in) :: ERI(nOrb,nOrb,nOrb,nOrb)
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double precision,intent(in) :: eHF(nOrb)
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double precision,intent(in) :: rho(nOrb,nOrb,nS)
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double precision,intent(in) :: Om(nS)
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double precision,intent(in) :: eGW(nOrb)
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! Local variables
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@ -25,17 +25,17 @@ subroutine RGW_phBSE_upfolded(nBas,nOrb,nC,nO,nV,nR,nS,ENuc,ERHF,ERI,eHF,eGW)
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integer :: s
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integer :: i,j,k,l
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integer :: a,b,c,d
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integer :: ia,jb,kc,iajb,kcld
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integer :: m,ia,jb,iam,kcm
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integer,parameter :: maxH = 20
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double precision :: tmp
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integer :: n1h1p,n2h2p,nH
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integer :: n1h,n1p,n1h1p,n2h2p,nH
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double precision,external :: Kronecker_delta
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integer,allocatable :: order(:)
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double precision,allocatable :: H(:,:)
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double precision,allocatable :: X(:,:)
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double precision,allocatable :: Om(:)
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double precision,allocatable :: OmBSE(:)
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double precision,allocatable :: Z(:)
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! Output variables
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@ -55,13 +55,16 @@ subroutine RGW_phBSE_upfolded(nBas,nOrb,nC,nO,nV,nR,nS,ENuc,ERHF,ERI,eHF,eGW)
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! Dimension of the supermatrix
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n1h1p = nO*nV
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n2h2p = nO*nO*nV*nV
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n1h = nO
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n1p = nV
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n1h1p = n1h*n1p
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n2h2p = n1h1p*n1h1p
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nH = n1h1p + n2h2p + n2h2p
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! Memory allocation
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allocate(order(nH),H(nH,nH),X(nH,nH),Om(nH),Z(nH))
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allocate(order(nH),H(nH,nH),X(nH,nH),OmBSE(nH),Z(nH))
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! Initialization
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@ -79,9 +82,11 @@ subroutine RGW_phBSE_upfolded(nBas,nOrb,nC,nO,nV,nR,nS,ENuc,ERHF,ERI,eHF,eGW)
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! !
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!---------------------------!
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!---------!
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! Block A !
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!---------!
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!----------------------!
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! Block A for singlets !
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!----------------------!
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if(ispin == 1) then
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ia = 0
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do i=nC+1,nO
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@ -102,6 +107,35 @@ subroutine RGW_phBSE_upfolded(nBas,nOrb,nC,nO,nV,nR,nS,ENuc,ERHF,ERI,eHF,eGW)
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end do
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end do
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end if
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!----------------------!
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! Block A for triplets !
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!----------------------!
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if(ispin == 2) then
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ia = 0
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do i=nC+1,nO
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do a=nO+1,nOrb-nR
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ia = ia + 1
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jb = 0
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do j=nC+1,nO
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do b=nO+1,nOrb-nR
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jb = jb + 1
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H(ia,jb) = (eGW(a) - eGW(i))*Kronecker_delta(i,j)*Kronecker_delta(a,b) &
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- ERI(i,b,j,a)
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end do
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end do
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end do
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end do
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end if
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!------------------!
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! Blocks Jph & Kph !
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!------------------!
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@ -111,56 +145,45 @@ subroutine RGW_phBSE_upfolded(nBas,nOrb,nC,nO,nV,nR,nS,ENuc,ERHF,ERI,eHF,eGW)
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do a=nO+1,nOrb-nR
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ia = ia + 1
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kcm = 0
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do k=nC+1,nO
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do c=nO+1,nOrn-nR
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do c=nO+1,nOrb-nR
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do m=1,nS
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kcm = kcm + 1
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tmp = sqrt(2d0)*Kronecker_delta(k,j)*ERI(b,a,c,i)
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H(n1h1p+iajb,kc ) = +tmp
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H(kc ,n1h1p+n2h2p+iajb) = -tmp
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! Jph
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tmp = sqrt(2d0)*Kronecker_delta(b,c)*ERI(a,k,i,j)
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H(n1h1p+n2h2p+iajb,kc ) = +tmp
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H(kc ,n1h1p+iajb) = -tmp
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tmp = - sqrt(2d0)*Kronecker_delta(a,c)*rho(i,k,m)
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H(ia ,n1h1p+kcm) = tmp
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H(n1h1p+n2h2p+kcm,ia) = tmp
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! Kph
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tmp = sqrt(2d0)*Kronecker_delta(i,k)*rho(a,c,m)
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H(ia ,n1h1p+n2h2p+kcm) = tmp
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H(n1h1p+kcm,ia) = tmp
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end do
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end do
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end do
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end do
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end do
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end do
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end do
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!-------------!
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! Block 2h2p !
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!-------------!
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iajb = 0
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iam = 0
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do i=nC+1,nO
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do a=nO+1,nOrb-nR
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do j=nC+1,nO
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do b=nO+1,nOrb-nR
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iajb = iajb + 1
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do m=1,nS
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iam = iam + 1
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kcld = 0
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do k=nC+1,nO
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do c=nO+1,nOrb-nR
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do l=nC+1,nO
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do d=nO+1,nOrb-nR
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kcld = kcld + 1
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tmp = Om(m) + eGW(a) - eGW(i)
|
||||
H(n1h1p +iam,n1h1p +iam) = tmp
|
||||
H(n1h1p+n2h2p+iam,n1h1p+n2h2p+iam) = tmp
|
||||
|
||||
tmp = ((eHF(a) + eGW(b) - eHF(i) - eGW(j))*Kronecker_delta(i,k)*Kronecker_delta(a,c) &
|
||||
+ 2d0*ERI(a,k,i,c))*Kronecker_delta(j,l)*Kronecker_delta(b,d)
|
||||
H(n1h1p +iajb,n1h1p +kcld) = tmp
|
||||
H(n1h1p+n2h2p+iajb,n1h1p+n2h2p+kcld) = tmp
|
||||
|
||||
end do
|
||||
end do
|
||||
end do
|
||||
end do
|
||||
|
||||
end do
|
||||
end do
|
||||
end do
|
||||
end do
|
||||
@ -169,15 +192,13 @@ subroutine RGW_phBSE_upfolded(nBas,nOrb,nC,nO,nV,nR,nS,ENuc,ERHF,ERI,eHF,eGW)
|
||||
! Diagonalize supermatrix !
|
||||
!-------------------------!
|
||||
|
||||
! call matout(nH,nH,H)
|
||||
|
||||
call diagonalize_general_matrix(nH,H,Om,X)
|
||||
call diagonalize_general_matrix(nH,H,OmBSE,X)
|
||||
|
||||
do s=1,nH
|
||||
order(s) = s
|
||||
end do
|
||||
|
||||
call quick_sort(Om,order,nH)
|
||||
call quick_sort(OmBSE,order,nH)
|
||||
call set_order(X,order,nH,nH)
|
||||
|
||||
!-----------------!
|
||||
@ -196,16 +217,16 @@ subroutine RGW_phBSE_upfolded(nBas,nOrb,nC,nO,nV,nR,nS,ENuc,ERHF,ERI,eHF,eGW)
|
||||
!--------------!
|
||||
|
||||
write(*,*)'-------------------------------------------'
|
||||
write(*,*)' unfolded BSE excitation energies (eV) '
|
||||
write(*,*)' Upfolded phBSE excitation energies (eV) '
|
||||
write(*,*)'-------------------------------------------'
|
||||
write(*,'(1X,A1,1X,A3,1X,A1,1X,A15,1X,A1,1X,A15,1X,A1,1X,A15,1X)') &
|
||||
'|','#','|','Omega (eV)','|','Z','|'
|
||||
'|','#','|','OmBSE (eV)','|','Z','|'
|
||||
write(*,*)'-------------------------------------------'
|
||||
|
||||
do s=1,min(nH,maxH)
|
||||
if(Z(s) > 1d-7) &
|
||||
write(*,'(1X,A1,1X,I3,1X,A1,1X,F15.6,1X,A1,1X,F15.6,1X,A1,1X)') &
|
||||
'|',s,'|',Om(s)*HaToeV,'|',Z(s),'|'
|
||||
'|',s,'|',OmBSE(s)*HaToeV,'|',Z(s),'|'
|
||||
end do
|
||||
|
||||
write(*,*)'-------------------------------------------'
|
||||
|
||||
@ -76,12 +76,24 @@ subroutine RGW_ppBSE(TDA_W,TDA,dBSE,dTDA,singlet,triplet,eta,nOrb,nC,nO,nV,nR,nS
|
||||
|
||||
double precision,intent(out) :: EcBSE(nspin)
|
||||
|
||||
!-----!
|
||||
! TDA !
|
||||
!-----!
|
||||
|
||||
if(TDA) then
|
||||
write(*,*) 'Tamm-Dancoff approximation activated in ppBSE!'
|
||||
write(*,*)
|
||||
end if
|
||||
|
||||
! Initialization
|
||||
|
||||
EcBSE(:) = 0d0
|
||||
|
||||
!---------------------------------
|
||||
! Compute (singlet) RPA screening
|
||||
!---------------------------------
|
||||
|
||||
isp_W = 1
|
||||
EcRPA = 0d0
|
||||
|
||||
allocate(OmRPA(nS),XpY_RPA(nS,nS),XmY_RPA(nS,nS),rho_RPA(nOrb,nOrb,nS), &
|
||||
Aph(nS,nS),Bph(nS,nS))
|
||||
@ -108,7 +120,6 @@ subroutine RGW_ppBSE(TDA_W,TDA,dBSE,dTDA,singlet,triplet,eta,nOrb,nC,nO,nV,nR,nS
|
||||
write(*,*)
|
||||
|
||||
ispin = 1
|
||||
EcBSE(ispin) = 0d0
|
||||
|
||||
nOO = nO*(nO+1)/2
|
||||
nVV = nV*(nV+1)/2
|
||||
@ -259,7 +270,6 @@ subroutine RGW_ppBSE(TDA_W,TDA,dBSE,dTDA,singlet,triplet,eta,nOrb,nC,nO,nV,nR,nS
|
||||
write(*,*)
|
||||
|
||||
ispin = 2
|
||||
EcBSE(ispin) = 0d0
|
||||
|
||||
nOO = nO*(nO-1)/2
|
||||
nVV = nV*(nV-1)/2
|
||||
@ -354,6 +364,13 @@ subroutine RGW_ppBSE(TDA_W,TDA,dBSE,dTDA,singlet,triplet,eta,nOrb,nC,nO,nV,nR,nS
|
||||
call RGW_ppBSE_dynamic_perturbation(ispin,dTDA,eta,nOrb,nC,nO,nV,nR,nS,nOO,nVV,eW,eGW,ERI,dipole_int,OmRPA,rho_RPA, &
|
||||
Om1,X1,Y1,Om2,X2,Y2,KB_sta,KC_sta,KD_sta)
|
||||
|
||||
|
||||
!----------------!
|
||||
! Upfolded ppBSE !
|
||||
!----------------!
|
||||
|
||||
call RGW_ppBSE_upfolded(ispin,nOrb,nC,nO,nV,nR,nS,ERI,rho_RPA,OmRPA,eGW)
|
||||
|
||||
deallocate(KB_sta,KC_sta,KD_sta)
|
||||
deallocate(Om1,X1,Y1,Om2,X2,Y2)
|
||||
|
||||
|
||||
@ -1,23 +1,22 @@
|
||||
subroutine RGW_ppBSE_upfolded(nBas,nOrb,nC,nO,nV,nR,nS,ENuc,ERHF,ERI,eHF,eGW)
|
||||
subroutine RGW_ppBSE_upfolded(ispin,nOrb,nC,nO,nV,nR,nS,ERI,rho,Om,eGW)
|
||||
|
||||
! Upfolded ppBSE@GW (TDA triplets only!)
|
||||
! Upfolded ppBSE@GW (TDA only!)
|
||||
|
||||
implicit none
|
||||
include 'parameters.h'
|
||||
|
||||
! Input variables
|
||||
|
||||
integer,intent(in) :: nBas
|
||||
integer,intent(in) :: ispin
|
||||
integer,intent(in) :: nOrb
|
||||
integer,intent(in) :: nC
|
||||
integer,intent(in) :: nO
|
||||
integer,intent(in) :: nV
|
||||
integer,intent(in) :: nR
|
||||
integer,intent(in) :: nS
|
||||
double precision,intent(in) :: ENuc
|
||||
double precision,intent(in) :: ERHF
|
||||
double precision,intent(in) :: ERI(nOrb,nOrb,nOrb,nOrb)
|
||||
double precision,intent(in) :: eHF(nOrb)
|
||||
double precision,intent(in) :: rho(nOrb,nOrb,nS)
|
||||
double precision,intent(in) :: Om(nS)
|
||||
double precision,intent(in) :: eGW(nOrb)
|
||||
|
||||
! Local variables
|
||||
@ -25,17 +24,17 @@ subroutine RGW_ppBSE_upfolded(nBas,nOrb,nC,nO,nV,nR,nS,ENuc,ERHF,ERI,eHF,eGW)
|
||||
integer :: s
|
||||
integer :: i,j,k,l
|
||||
integer :: a,b,c,d
|
||||
integer :: ia,jb,kc,iajb,kcld
|
||||
integer :: m,ij,kl,ijm
|
||||
integer,parameter :: maxH = 20
|
||||
double precision :: tmp
|
||||
double precision :: tmp,tmp1,tmp2,tmp3,tmp4
|
||||
|
||||
integer :: n1h1p,n2h2p,nH
|
||||
integer :: n1h,n1p,n2h,n2p,n1h1p,n3h1p,n3p1h,n2h2p,nH
|
||||
double precision,external :: Kronecker_delta
|
||||
|
||||
integer,allocatable :: order(:)
|
||||
double precision,allocatable :: H(:,:)
|
||||
double precision,allocatable :: X(:,:)
|
||||
double precision,allocatable :: Om(:)
|
||||
double precision,allocatable :: OmBSE(:)
|
||||
double precision,allocatable :: Z(:)
|
||||
|
||||
! Output variables
|
||||
@ -55,13 +54,33 @@ subroutine RGW_ppBSE_upfolded(nBas,nOrb,nC,nO,nV,nR,nS,ENuc,ERHF,ERI,eHF,eGW)
|
||||
|
||||
! Dimension of the supermatrix
|
||||
|
||||
n1h1p = nO*nV
|
||||
n2h2p = nO*nO*nV*nV
|
||||
nH = n1h1p + n2h2p + n2h2p
|
||||
n1h = nO
|
||||
n1p = nV
|
||||
|
||||
if(ispin == 1) then
|
||||
|
||||
n2h = nO*(nO+1)/2
|
||||
n2p = nV*(nV+1)/2
|
||||
|
||||
end if
|
||||
|
||||
if(ispin == 2) then
|
||||
|
||||
n2h = nO*(nO-1)/2
|
||||
n2p = nV*(nV-1)/2
|
||||
|
||||
end if
|
||||
|
||||
n1h1p = n1h*n1p
|
||||
|
||||
n3h1p = n2h*n1h1p
|
||||
n3p1h = n2p*n1h1p
|
||||
|
||||
nH = n1h1p + 4*n3h1p
|
||||
|
||||
! Memory allocation
|
||||
|
||||
allocate(order(nH),H(nH,nH),X(nH,nH),Om(nH),Z(nH))
|
||||
allocate(order(nH),H(nH,nH),X(nH,nH),OmBSE(nH),Z(nH))
|
||||
|
||||
! Initialization
|
||||
|
||||
@ -83,9 +102,38 @@ subroutine RGW_ppBSE_upfolded(nBas,nOrb,nC,nO,nV,nR,nS,ENuc,ERHF,ERI,eHF,eGW)
|
||||
! !
|
||||
!----------------------------------------!
|
||||
|
||||
!---------!
|
||||
! Block D !
|
||||
!---------!
|
||||
!----------------------!
|
||||
! Block D for singlets !
|
||||
!----------------------!
|
||||
|
||||
if(ispin == 1) then
|
||||
|
||||
ij = 0
|
||||
do i=nC+1,nO
|
||||
do j=i,nO
|
||||
ij = ij + 1
|
||||
|
||||
kl = 0
|
||||
do k=nC+1,nO
|
||||
do l=k,nO
|
||||
kl = kl + 1
|
||||
|
||||
H(ij,kl) = (eGW(i) + eGW(j))*Kronecker_delta(i,k)*Kronecker_delta(j,l) &
|
||||
- (ERI(i,j,k,l) + ERI(i,j,l,k))/sqrt((1d0 + Kronecker_delta(i,j))*(1d0 + Kronecker_delta(k,l)))
|
||||
|
||||
end do
|
||||
end do
|
||||
|
||||
end do
|
||||
end do
|
||||
|
||||
end if
|
||||
|
||||
!----------------------!
|
||||
! Block D for triplets !
|
||||
!----------------------!
|
||||
|
||||
if(ispin == 2) then
|
||||
|
||||
ij = 0
|
||||
do i=nC+1,nO
|
||||
@ -97,8 +145,8 @@ subroutine RGW_ppBSE_upfolded(nBas,nOrb,nC,nO,nV,nR,nS,ENuc,ERHF,ERI,eHF,eGW)
|
||||
do l=k+1,nO
|
||||
kl = kl + 1
|
||||
|
||||
H(ij,kl) = - (eGW(i) + eGW(j))*Kronecker_delta(i,k)*Kronecker_delta(j,l) &
|
||||
+ (ERI(i,j,k,l) - ERI(i,j,l,k))
|
||||
H(ij,kl) = (eGW(i) + eGW(j))*Kronecker_delta(i,k)*Kronecker_delta(j,l) &
|
||||
- (ERI(i,j,k,l) - ERI(i,j,l,k))
|
||||
|
||||
end do
|
||||
end do
|
||||
@ -106,8 +154,10 @@ subroutine RGW_ppBSE_upfolded(nBas,nOrb,nC,nO,nV,nR,nS,ENuc,ERHF,ERI,eHF,eGW)
|
||||
end do
|
||||
end do
|
||||
|
||||
end if
|
||||
|
||||
!----------------!
|
||||
! Blocks M1 !
|
||||
! Blocks M1 & M2 !
|
||||
!----------------!
|
||||
|
||||
ijm = 0
|
||||
@ -121,21 +171,22 @@ subroutine RGW_ppBSE_upfolded(nBas,nOrb,nC,nO,nV,nR,nS,ENuc,ERHF,ERI,eHF,eGW)
|
||||
do l=k+1,nO
|
||||
kl = kl + 1
|
||||
|
||||
tmp = sqrt(2d0)*Kronecker_delta(k,j)*M(i,k,m)
|
||||
H(n2h+ijm,kl ) = +tmp
|
||||
H(kl ,n2h+ijm) = -tmp
|
||||
tmp1 = sqrt(2d0)*Kronecker_delta(j,l)*rho(i,k,m)
|
||||
tmp2 = sqrt(2d0)*Kronecker_delta(j,l)*rho(i,l,m)
|
||||
tmp3 = sqrt(2d0)*Kronecker_delta(i,l)*rho(j,k,m)
|
||||
tmp4 = sqrt(2d0)*Kronecker_delta(i,k)*rho(j,l,m)
|
||||
|
||||
tmp = sqrt(2d0)*Kronecker_delta(k,j)*M(i,k,m)
|
||||
H(n2h+1*n3h1p+ijm,kl ) = +tmp
|
||||
H(kl ,n2h+n3h1p+ijm) = -tmp
|
||||
H(n2h+0*n3h1p+ijm,kl ) = -tmp1
|
||||
H(kl ,n2h+0*n3h1p+ijm) = +tmp3
|
||||
|
||||
tmp = sqrt(2d0)*Kronecker_delta(b,c)*M(j,k,m)
|
||||
H(n2h+2*n3h1p+iajb,kc ) = +tmp
|
||||
H(kc ,n1h1p+iajb) = -tmp
|
||||
H(n2h+1*n3h1p+ijm,kl ) = -tmp1
|
||||
H(kl ,n2h+1*n3h1p+ijm) = +tmp4
|
||||
|
||||
tmp = sqrt(2d0)*Kronecker_delta(b,c)*M(j,k,m)
|
||||
H(n2h+3*n2h2p+iajb,kc ) = +tmp
|
||||
H(kc ,n1h1p+iajb) = -tmp
|
||||
H(n2h+2*n3h1p+ijm,kl ) = -tmp2
|
||||
H(kl ,n2h+2*n3h1p+ijm) = +tmp3
|
||||
|
||||
H(n2h+3*n3h1p+ijm,kl ) = -tmp2
|
||||
H(kl ,n2h+3*n3h1p+ijm) = +tmp4
|
||||
|
||||
end do
|
||||
end do
|
||||
@ -143,54 +194,39 @@ subroutine RGW_ppBSE_upfolded(nBas,nOrb,nC,nO,nV,nR,nS,ENuc,ERHF,ERI,eHF,eGW)
|
||||
end do
|
||||
end do
|
||||
end do
|
||||
end do
|
||||
|
||||
!-------------!
|
||||
! Block 2h2p !
|
||||
!-------------!
|
||||
!------------!
|
||||
! Block 3h1p !
|
||||
!------------!
|
||||
|
||||
iajb = 0
|
||||
ijm = 0
|
||||
do i=nC+1,nO
|
||||
do a=nO+1,nOrb-nR
|
||||
do j=nC+1,nO
|
||||
do b=nO+1,nOrb-nR
|
||||
iajb = iajb + 1
|
||||
do j=i+1,nO
|
||||
do m=1,nS
|
||||
ijm = ijm + 1
|
||||
|
||||
kcld = 0
|
||||
do k=nC+1,nO
|
||||
do c=nO+1,nOrb-nR
|
||||
do l=nC+1,nO
|
||||
do d=nO+1,nOrb-nR
|
||||
kcld = kcld + 1
|
||||
tmp = - eGW(i) - eGW(j) + Om(m)
|
||||
|
||||
tmp = ((eHF(a) + eGW(b) - eHF(i) - eGW(j))*Kronecker_delta(i,k)*Kronecker_delta(a,c) &
|
||||
+ 2d0*ERI(a,k,i,c))*Kronecker_delta(j,l)*Kronecker_delta(b,d)
|
||||
H(n1h1p +iajb,n1h1p +kcld) = tmp
|
||||
H(n1h1p+n2h2p+iajb,n1h1p+n2h2p+kcld) = tmp
|
||||
H(n2h+0*n3h1p+ijm,n2h+0*n3h1p+ijm) = tmp
|
||||
H(n2h+1*n3h1p+ijm,n2h+1*n3h1p+ijm) = tmp
|
||||
H(n2h+2*n3h1p+ijm,n2h+2*n3h1p+ijm) = tmp
|
||||
H(n2h+3*n3h1p+ijm,n2h+3*n3h1p+ijm) = tmp
|
||||
|
||||
end do
|
||||
end do
|
||||
end do
|
||||
end do
|
||||
|
||||
end do
|
||||
end do
|
||||
end do
|
||||
end do
|
||||
|
||||
!-------------------------!
|
||||
! Diagonalize supermatrix !
|
||||
!-------------------------!
|
||||
|
||||
! call matout(nH,nH,H)
|
||||
|
||||
call diagonalize_general_matrix(nH,H,Om,X)
|
||||
call diagonalize_general_matrix(nH,H,OmBSE,X)
|
||||
|
||||
do s=1,nH
|
||||
order(s) = s
|
||||
end do
|
||||
|
||||
call quick_sort(Om,order,nH)
|
||||
call quick_sort(OmBSE,order,nH)
|
||||
call set_order(X,order,nH,nH)
|
||||
|
||||
!-----------------!
|
||||
@ -199,8 +235,8 @@ subroutine RGW_ppBSE_upfolded(nBas,nOrb,nC,nO,nV,nR,nS,ENuc,ERHF,ERI,eHF,eGW)
|
||||
|
||||
Z(:) = 0d0
|
||||
do s=1,nH
|
||||
do ia=1,n1h1p
|
||||
Z(s) = Z(s) + X(ia,s)**2
|
||||
do ij=1,n2h
|
||||
Z(s) = Z(s) + X(ij,s)**2
|
||||
end do
|
||||
end do
|
||||
|
||||
@ -209,16 +245,16 @@ subroutine RGW_ppBSE_upfolded(nBas,nOrb,nC,nO,nV,nR,nS,ENuc,ERHF,ERI,eHF,eGW)
|
||||
!--------------!
|
||||
|
||||
write(*,*)'-------------------------------------------'
|
||||
write(*,*)' unfolded BSE excitation energies (eV) '
|
||||
write(*,*)' Upfolded ppBSE excitation energies (eV) '
|
||||
write(*,*)'-------------------------------------------'
|
||||
write(*,'(1X,A1,1X,A3,1X,A1,1X,A15,1X,A1,1X,A15,1X,A1,1X,A15,1X)') &
|
||||
'|','#','|','Omega (eV)','|','Z','|'
|
||||
'|','#','|','OmBSE (eV)','|','Z','|'
|
||||
write(*,*)'-------------------------------------------'
|
||||
|
||||
do s=1,min(nH,maxH)
|
||||
if(Z(s) > 1d-7) &
|
||||
write(*,'(1X,A1,1X,I3,1X,A1,1X,F15.6,1X,A1,1X,F15.6,1X,A1,1X)') &
|
||||
'|',s,'|',Om(s)*HaToeV,'|',Z(s),'|'
|
||||
'|',s,'|',OmBSE(s)*HaToeV,'|',Z(s),'|'
|
||||
end do
|
||||
|
||||
write(*,*)'-------------------------------------------'
|
||||
|
||||
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Reference in New Issue
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