dynamic ppBSE@GW

This commit is contained in:
Pierre-Francois Loos 2023-07-24 22:34:52 +02:00
parent b53f18fa79
commit 2ecc80a278
6 changed files with 141 additions and 7 deletions

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@ -226,7 +226,7 @@ subroutine G0W0(doACFDT,exchange_kernel,doXBS,dophBSE,dophBSE2,TDA_W,TDA,dBSE,dT
if(doppBSE) then
call GW_ppBSE(TDA_W,TDA,singlet,triplet,eta,nBas,nC,nO,nV,nR,nS,ERI,dipole_int,eHF,eGW,EcBSE)
call GW_ppBSE(TDA_W,TDA,dBSE,dTDA,singlet,triplet,eta,nBas,nC,nO,nV,nR,nS,ERI,dipole_int,eHF,eGW,EcBSE)
write(*,*)
write(*,*)'-------------------------------------------------------------------------------'

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@ -120,9 +120,9 @@ subroutine GW_phBSE(dophBSE2,TDA_W,TDA,dBSE,dTDA,singlet,triplet,eta,nBas,nC,nO,
call print_excitation('phBSE@GW ',ispin,nS,OmBSE)
call print_transition_vectors_ph(.true.,nBas,nC,nO,nV,nR,nS,dipole_int,OmBSE,XpY_BSE,XmY_BSE)
!-------------------------------------------------
! Compute the dynamical screening at the BSE level
!-------------------------------------------------
!----------------------------------------------------!
! Compute the dynamical screening at the phBSE level !
!----------------------------------------------------!
if(dBSE) &
call GW_phBSE_dynamic_perturbation(dophBSE2,dTDA,eta,nBas,nC,nO,nV,nR,nS,eW,eGW,ERI,dipole_int,OmRPA,rho_RPA, &

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@ -1,4 +1,4 @@
subroutine GW_ppBSE(TDA_W,TDA,singlet,triplet,eta,nBas,nC,nO,nV,nR,nS,ERI,dipole_int,eW,eGW,EcBSE)
subroutine GW_ppBSE(TDA_W,TDA,dBSE,dTDA,singlet,triplet,eta,nBas,nC,nO,nV,nR,nS,ERI,dipole_int,eW,eGW,EcBSE)
! Compute the Bethe-Salpeter excitation energies at the pp level
@ -9,6 +9,8 @@ subroutine GW_ppBSE(TDA_W,TDA,singlet,triplet,eta,nBas,nC,nO,nV,nR,nS,ERI,dipole
logical,intent(in) :: TDA_W
logical,intent(in) :: TDA
logical,intent(in) :: dBSE
logical,intent(in) :: dTDA
logical,intent(in) :: singlet
logical,intent(in) :: triplet
@ -122,6 +124,14 @@ subroutine GW_ppBSE(TDA_W,TDA,singlet,triplet,eta,nBas,nC,nO,nV,nR,nS,ERI,dipole
call print_transition_vectors_pp(.true.,nBas,nC,nO,nV,nR,nOO,nVV,dipole_int,Om1,X1,Y1,Om2,X2,Y2)
!----------------------------------------------------!
! Compute the dynamical screening at the ppBSE level !
!----------------------------------------------------!
if(dBSE) &
call GW_ppBSE_dynamic_perturbation(dTDA,eta,nBas,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)
deallocate(Om1,X1,Y1,Om2,X2,Y2,Bpp,Cpp,Dpp,KB_sta,KC_sta,KD_sta)
end if
@ -167,6 +177,14 @@ subroutine GW_ppBSE(TDA_W,TDA,singlet,triplet,eta,nBas,nC,nO,nV,nR,nS,ERI,dipole
call print_transition_vectors_pp(.false.,nBas,nC,nO,nV,nR,nOO,nVV,dipole_int,Om1,X1,Y1,Om2,X2,Y2)
!----------------------------------------------------!
! Compute the dynamical screening at the ppBSE level !
!----------------------------------------------------!
if(dBSE) &
call GW_ppBSE_dynamic_perturbation(dTDA,eta,nBas,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)
deallocate(Om1,X1,Y1,Om2,X2,Y2,Bpp,Cpp,Dpp,KB_sta,KC_sta,KD_sta)
end if

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@ -0,0 +1,116 @@
subroutine GW_ppBSE_dynamic_perturbation(dTDA,eta,nBas,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)
! Compute dynamical effects via perturbation theory for BSE
implicit none
include 'parameters.h'
! Input variables
logical,intent(in) :: dTDA
double precision,intent(in) :: eta
integer,intent(in) :: nBas
integer,intent(in) :: nC
integer,intent(in) :: nO
integer,intent(in) :: nV
integer,intent(in) :: nR
integer,intent(in) :: nS
integer,intent(in) :: nOO
integer,intent(in) :: nVV
double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas)
double precision,intent(in) :: eW(nBas)
double precision,intent(in) :: eGW(nBas)
double precision,intent(in) :: dipole_int(nBas,nBas,ncart)
double precision,intent(in) :: OmRPA(nS)
double precision,intent(in) :: rho_RPA(nBas,nBas,nS)
double precision,intent(in) :: Om1(nVV)
double precision,intent(in) :: X1(nVV,nVV)
double precision,intent(in) :: Y1(nOO,nVV)
double precision,intent(in) :: Om2(nOO)
double precision,intent(in) :: X2(nVV,nOO)
double precision,intent(in) :: Y2(nOO,nOO)
double precision,intent(in) :: KB_sta(nVV,nOO)
double precision,intent(in) :: KC_sta(nVV,nVV)
double precision,intent(in) :: KD_sta(nOO,nOO)
! Local variables
integer :: ab,ij
integer :: maxOO = 10
integer :: maxVV = 10
double precision,allocatable :: Om1Dyn(:)
double precision,allocatable :: Om2Dyn(:)
double precision,allocatable :: Z1Dyn(:)
double precision,allocatable :: Z2Dyn(:)
double precision,allocatable :: KB_dyn(:,:)
double precision,allocatable :: KC_dyn(:,:)
double precision,allocatable :: KD_dyn(:,:)
double precision,allocatable :: ZC_dyn(:,:)
double precision,allocatable :: ZD_dyn(:,:)
! Memory allocation
allocate(Om1Dyn(nVV),Om2Dyn(nOO),Z1Dyn(maxVV),Z2Dyn(maxOO), &
KB_dyn(nVV,nOO),KC_dyn(nVV,nVV),KD_dyn(nOO,nOO), &
ZC_dyn(nVV,nVV),ZD_dyn(nOO,nOO))
if(dTDA) then
write(*,*)
write(*,*) '*** dynamical TDA activated ***'
write(*,*)
end if
write(*,*) '---------------------------------------------------------------------------------------------------'
write(*,*) ' First-order dynamical correction to static ppBSE double electron attachment energies '
write(*,*) '---------------------------------------------------------------------------------------------------'
write(*,'(2X,A5,1X,A20,1X,A20,1X,A20,1X,A20)') '#','Static (eV)','Dynamic (eV)','Correction (eV)','Renorm. (eV)'
write(*,*) '---------------------------------------------------------------------------------------------------'
do ab=1,min(nVV,maxVV)
! if(.not.dTDA) call GW_ppBSE_dynamic_kernel_B(eta,nBas,nC,nO,nV,nR,nS,nOO,nVV,1d0,eGW,OmRPA,rho_RPA,OmBSE(ab),KB_dyn)
call GW_ppBSE_dynamic_kernel_C(eta,nBas,nC,nO,nV,nR,nS,nVV,1d0,eGW,OmRPA,rho_RPA,Om1(ab),KC_dyn,ZC_dyn)
Z1Dyn(ab) = dot_product(X1(:,ab),matmul(ZC_dyn,X1(:,ab)))
Om1Dyn(ab) = dot_product(X1(:,ab),matmul(KC_dyn - KC_sta,X1(:,ab)))
Z1Dyn(ab) = 1d0/(1d0 - Z1Dyn(ab))
Om1Dyn(ab) = Z1Dyn(ab)*Om1Dyn(ab)
write(*,'(2X,I5,5X,F15.6,5X,F15.6,5X,F15.6,5X,F15.6)') &
ab,Om1(ab)*HaToeV,(Om1(ab)+Om1Dyn(ab))*HaToeV,Om1Dyn(ab)*HaToeV,Z1Dyn(ab)
end do
write(*,*) '---------------------------------------------------------------------------------------------------'
write(*,*)
write(*,*) '---------------------------------------------------------------------------------------------------'
write(*,*) ' First-order dynamical correction to static ppBSE double electron detachment energies '
write(*,*) '---------------------------------------------------------------------------------------------------'
write(*,'(2X,A5,1X,A20,1X,A20,1X,A20,1X,A20)') '#','Static (eV)','Dynamic (eV)','Correction (eV)','Renorm. (eV)'
write(*,*) '---------------------------------------------------------------------------------------------------'
do ij=1,min(nOO,maxOO)
! if(.not.dTDA) call GW_ppBSE_dynamic_kernel_B(eta,nBas,nC,nO,nV,nR,nS,nOO,nVV,1d0,eGW,OmRPA,rho_RPA,OmBSE(ab),KB_dyn)
call GW_ppBSE_dynamic_kernel_D(eta,nBas,nC,nO,nV,nR,nS,nOO,1d0,eGW,OmRPA,rho_RPA,Om2(ij),KD_dyn,ZD_dyn)
Z2Dyn(ij) = dot_product(Y2(:,ij),matmul(ZD_dyn,Y2(:,ij)))
Om2Dyn(ij) = dot_product(Y2(:,ij),matmul(KD_dyn - KD_sta,Y2(:,ij)))
Z2Dyn(ij) = 1d0/(1d0 - Z2Dyn(ij))
Om2Dyn(ij) = Z2Dyn(ij)*Om2Dyn(ij)
write(*,'(2X,I5,5X,F15.6,5X,F15.6,5X,F15.6,5X,F15.6)') &
ij,Om2(ij)*HaToeV,(Om2(ij)+Om2Dyn(ij))*HaToeV,Om2Dyn(ij)*HaToeV,Z2Dyn(ij)
end do
write(*,*) '---------------------------------------------------------------------------------------------------'
write(*,*)
end subroutine

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@ -276,7 +276,7 @@ subroutine evGW(maxSCF,thresh,max_diis,doACFDT,exchange_kernel,doXBS,dophBSE,dop
if(doppBSE) then
call GW_ppBSE(TDA_W,TDA,singlet,triplet,eta,nBas,nC,nO,nV,nR,nS,ERI,dipole_int,eHF,eGW,EcBSE)
call GW_ppBSE(TDA_W,TDA,dBSE,dTDA,singlet,triplet,eta,nBas,nC,nO,nV,nR,nS,ERI,dipole_int,eHF,eGW,EcBSE)
write(*,*)
write(*,*)'-------------------------------------------------------------------------------'

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@ -341,7 +341,7 @@ subroutine qsGW(maxSCF,thresh,max_diis,doACFDT,exchange_kernel,doXBS,dophBSE,dop
if(doppBSE) then
call GW_ppBSE(TDA_W,TDA,singlet,triplet,eta,nBas,nC,nO,nV,nR,nS,ERI_MO,dipole_int_MO,eHF,eGW,EcBSE)
call GW_ppBSE(TDA_W,TDA,dBSE,dTDA,singlet,triplet,eta,nBas,nC,nO,nV,nR,nS,ERI_MO,dipole_int_MO,eHF,eGW,EcBSE)
write(*,*)
write(*,*)'-------------------------------------------------------------------------------'