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mirror of https://github.com/pfloos/quack synced 2024-11-08 07:03:59 +01:00
This commit is contained in:
Pierre-Francois Loos 2022-11-29 12:11:09 +01:00
parent 2a46cc4617
commit 76a3b9cfff
7 changed files with 493 additions and 22 deletions

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@ -7,13 +7,13 @@
# drCCD rCCD crCCD lCCD # drCCD rCCD crCCD lCCD
F F F F F F F F
# CIS* CIS(D) CID CISD FCI # CIS* CIS(D) CID CISD FCI
T F F F F F F F F F
# RPA* RPAx* crRPA ppRPA # RPA* RPAx* crRPA ppRPA
F T F F F F F F
# G0F2* evGF2* qsGF2* G0F3 evGF3 # G0F2* evGF2* qsGF2* G0F3 evGF3
F F F F F F F F F F
# G0W0* evGW* qsGW* ufG0W0 ufGW # G0W0* evGW* qsGW* SRG-qsGW ufG0W0 ufGW
T F F F F F F F T F F
# G0T0 evGT qsGT # G0T0 evGT qsGT
F F F F F F
# * unrestricted version available # * unrestricted version available

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@ -9,10 +9,10 @@
# GF: maxSCF thresh DIIS n_diis lin eta renorm reg # GF: maxSCF thresh DIIS n_diis lin eta renorm reg
256 0.00001 T 5 T 0.0 3 F 256 0.00001 T 5 T 0.0 3 F
# GW: maxSCF thresh DIIS n_diis lin eta COHSEX SOSEX TDA_W G0W GW0 reg # GW: maxSCF thresh DIIS n_diis lin eta COHSEX SOSEX TDA_W G0W GW0 reg
256 0.00001 T 5 T 0.0 F F F F F F 256 0.0000001 F 5 T 0.0 F F F F F F
# GT: maxSCF thresh DIIS n_diis lin eta TDA_T reg # GT: maxSCF thresh DIIS n_diis lin eta TDA_T reg
10 0.00001 T 5 T 0.0 F F 10 0.00001 T 5 T 0.0 F F
# ACFDT: AC Kx XBS # ACFDT: AC Kx XBS
F T T F T T
# BSE: BSE dBSE dTDA evDyn ppBSE BSE2 # BSE: BSE dBSE dTDA evDyn ppBSE BSE2
T F T F F T F F T F F T

323
src/GW/SRG_qsGW.f90 Normal file
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@ -0,0 +1,323 @@
subroutine SRG_qsGW(maxSCF,thresh,max_diis,doACFDT,exchange_kernel,doXBS,BSE,BSE2,TDA_W,TDA, &
dBSE,dTDA,evDyn,singlet,triplet,eta,nNuc,ZNuc,rNuc,ENuc,nBas,nC,nO,nV,nR,nS,ERHF, &
S,X,T,V,Hc,ERI_AO,ERI_MO,dipole_int_AO,dipole_int_MO,PHF,cHF,eHF)
! Perform a quasiparticle self-consistent GW calculation
implicit none
include 'parameters.h'
! Input variables
integer,intent(in) :: maxSCF
integer,intent(in) :: max_diis
double precision,intent(in) :: thresh
logical,intent(in) :: doACFDT
logical,intent(in) :: exchange_kernel
logical,intent(in) :: doXBS
logical,intent(in) :: BSE
logical,intent(in) :: BSE2
logical,intent(in) :: TDA_W
logical,intent(in) :: TDA
logical,intent(in) :: dBSE
logical,intent(in) :: dTDA
logical,intent(in) :: evDyn
logical,intent(in) :: singlet
logical,intent(in) :: triplet
double precision,intent(in) :: eta
integer,intent(in) :: nNuc
double precision,intent(in) :: ZNuc(nNuc)
double precision,intent(in) :: rNuc(nNuc,ncart)
double precision,intent(in) :: ENuc
integer,intent(in) :: nBas
integer,intent(in) :: nC
integer,intent(in) :: nO
integer,intent(in) :: nV
integer,intent(in) :: nR
integer,intent(in) :: nS
double precision,intent(in) :: ERHF
double precision,intent(in) :: eHF(nBas)
double precision,intent(in) :: cHF(nBas,nBas)
double precision,intent(in) :: PHF(nBas,nBas)
double precision,intent(in) :: S(nBas,nBas)
double precision,intent(in) :: T(nBas,nBas)
double precision,intent(in) :: V(nBas,nBas)
double precision,intent(in) :: Hc(nBas,nBas)
double precision,intent(in) :: X(nBas,nBas)
double precision,intent(in) :: ERI_AO(nBas,nBas,nBas,nBas)
double precision,intent(inout):: ERI_MO(nBas,nBas,nBas,nBas)
double precision,intent(in) :: dipole_int_AO(nBas,nBas,ncart)
double precision,intent(in) :: dipole_int_MO(nBas,nBas,ncart)
! Local variables
integer :: nSCF
integer :: nBasSq
integer :: ispin
integer :: n_diis
double precision :: ET
double precision :: EV
double precision :: EJ
double precision :: Ex
double precision :: EqsGW
double precision :: EcRPA
double precision :: EcBSE(nspin)
double precision :: EcAC(nspin)
double precision :: EcGM
double precision :: Conv
double precision :: rcond
double precision,external :: trace_matrix
double precision :: dipole(ncart)
logical :: print_W = .false.
double precision,allocatable :: error_diis(:,:)
double precision,allocatable :: F_diis(:,:)
double precision,allocatable :: OmRPA(:)
double precision,allocatable :: XpY_RPA(:,:)
double precision,allocatable :: XmY_RPA(:,:)
double precision,allocatable :: rho_RPA(:,:,:)
double precision,allocatable :: c(:,:)
double precision,allocatable :: cp(:,:)
double precision,allocatable :: eGW(:)
double precision,allocatable :: eOld(:)
double precision,allocatable :: P(:,:)
double precision,allocatable :: F(:,:)
double precision,allocatable :: Fp(:,:)
double precision,allocatable :: J(:,:)
double precision,allocatable :: K(:,:)
double precision,allocatable :: SigC(:,:)
double precision,allocatable :: Z(:)
double precision,allocatable :: error(:,:)
! Hello world
write(*,*)
write(*,*)'************************************************'
write(*,*)'| Self-consistent SRG-qsGW calculation |'
write(*,*)'************************************************'
write(*,*)
! Warning
write(*,*) '!! ERIs in MO basis will be overwritten in qsGW !!'
write(*,*)
! Stuff
nBasSq = nBas*nBas
! TDA for W
if(TDA_W) then
write(*,*) 'Tamm-Dancoff approximation for dynamic screening!'
write(*,*)
end if
! TDA
if(TDA) then
write(*,*) 'Tamm-Dancoff approximation activated!'
write(*,*)
end if
! Memory allocation
allocate(eGW(nBas),eOld(nBas),c(nBas,nBas),cp(nBas,nBas),P(nBas,nBas),F(nBas,nBas),Fp(nBas,nBas), &
J(nBas,nBas),K(nBas,nBas),SigC(nBas,nBas),Z(nBas),OmRPA(nS),XpY_RPA(nS,nS),XmY_RPA(nS,nS), &
rho_RPA(nBas,nBas,nS),error(nBas,nBas),error_diis(nBasSq,max_diis),F_diis(nBasSq,max_diis))
! Initialization
nSCF = -1
n_diis = 0
ispin = 1
Conv = 1d0
P(:,:) = PHF(:,:)
eGW(:) = eHF(:)
eOld(:) = eHF(:)
c(:,:) = cHF(:,:)
F_diis(:,:) = 0d0
error_diis(:,:) = 0d0
rcond = 0d0
!------------------------------------------------------------------------
! Main loop
!------------------------------------------------------------------------
do while(Conv > thresh .and. nSCF <= maxSCF)
! Increment
nSCF = nSCF + 1
! Buid Coulomb matrix
call Coulomb_matrix_AO_basis(nBas,P,ERI_AO,J)
! Compute exchange part of the self-energy
call exchange_matrix_AO_basis(nBas,P,ERI_AO,K)
! AO to MO transformation of two-electron integrals
call AOtoMO_integral_transform(1,1,1,1,nBas,c,ERI_AO,ERI_MO)
! Compute linear response
call linear_response(ispin,.true.,TDA_W,eta,nBas,nC,nO,nV,nR,nS,1d0,eGW,ERI_MO, &
EcRPA,OmRPA,XpY_RPA,XmY_RPA)
if(print_W) call print_excitation('RPA@qsGW ',ispin,nS,OmRPA)
! Compute correlation part of the self-energy
call excitation_density(nBas,nC,nO,nR,nS,ERI_MO,XpY_RPA,rho_RPA)
call self_energy_correlation_SRG(eta,nBas,nC,nO,nV,nR,nS,eGW,OmRPA,rho_RPA,EcGM,SigC)
call renormalization_factor_SRG(eta,nBas,nC,nO,nV,nR,nS,eGW,OmRPA,rho_RPA,Z)
! Make correlation self-energy Hermitian and transform it back to AO basis
call MOtoAO_transform(nBas,S,c,SigC)
! Solve the quasi-particle equation
F(:,:) = Hc(:,:) + J(:,:) + 0.5d0*K(:,:) + SigC(:,:)
! Compute commutator and convergence criteria
error = matmul(F,matmul(P,S)) - matmul(matmul(S,P),F)
! DIIS extrapolation
n_diis = min(n_diis+1,max_diis)
if(abs(rcond) > 1d-7) then
call DIIS_extrapolation(rcond,nBasSq,nBasSq,n_diis,error_diis,F_diis,error,F)
else
n_diis = 0
end if
! Diagonalize Hamiltonian in AO basis
Fp = matmul(transpose(X),matmul(F,X))
cp(:,:) = Fp(:,:)
call diagonalize_matrix(nBas,cp,eGW)
c = matmul(X,cp)
SigC = matmul(transpose(c),matmul(SigC,c))
! Compute new density matrix in the AO basis
P(:,:) = 2d0*matmul(c(:,1:nO),transpose(c(:,1:nO)))
! Save quasiparticles energy for next cycle
Conv = maxval(abs(eGW - eOld))
eOld(:) = eGW(:)
!------------------------------------------------------------------------
! Compute total energy
!------------------------------------------------------------------------
! Kinetic energy
ET = trace_matrix(nBas,matmul(P,T))
! Potential energy
EV = trace_matrix(nBas,matmul(P,V))
! Coulomb energy
EJ = 0.5d0*trace_matrix(nBas,matmul(P,J))
! Exchange energy
Ex = 0.25d0*trace_matrix(nBas,matmul(P,K))
! Total energy
EqsGW = ET + EV + EJ + Ex
! Print results
call dipole_moment(nBas,P,nNuc,ZNuc,rNuc,dipole_int_AO,dipole)
call print_qsGW(nBas,nO,nSCF,Conv,thresh,eHF,eGW,c,SigC,Z,ENuc,ET,EV,EJ,Ex,EcGM,EcRPA,EqsGW,dipole)
enddo
!------------------------------------------------------------------------
! End main loop
!------------------------------------------------------------------------
! Did it actually converge?
if(nSCF == maxSCF+1) then
write(*,*)
write(*,*)'!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!'
write(*,*)' Convergence failed '
write(*,*)'!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!'
write(*,*)
stop
endif
! Deallocate memory
deallocate(c,cp,P,F,Fp,J,K,SigC,Z,OmRPA,XpY_RPA,XmY_RPA,rho_RPA,error,error_diis,F_diis)
! Perform BSE calculation
if(BSE) then
call Bethe_Salpeter(BSE2,TDA_W,TDA,dBSE,dTDA,evDyn,singlet,triplet,eta,nBas,nC,nO,nV,nR,nS,ERI_MO,dipole_int_MO, &
eGW,eGW,EcBSE)
if(exchange_kernel) then
EcBSE(1) = 0.5d0*EcBSE(1)
EcBSE(2) = 1.5d0*EcBSE(2)
end if
write(*,*)
write(*,*)'-------------------------------------------------------------------------------'
write(*,'(2X,A50,F20.10)') 'Tr@BSE@qsGW correlation energy (singlet) =',EcBSE(1)
write(*,'(2X,A50,F20.10)') 'Tr@BSE@qsGW correlation energy (triplet) =',EcBSE(2)
write(*,'(2X,A50,F20.10)') 'Tr@BSE@qsGW correlation energy =',EcBSE(1) + EcBSE(2)
write(*,'(2X,A50,F20.10)') 'Tr@BSE@qsGW total energy =',ENuc + EqsGW + EcBSE(1) + EcBSE(2)
write(*,*)'-------------------------------------------------------------------------------'
write(*,*)
! Compute the BSE correlation energy via the adiabatic connection
if(doACFDT) then
write(*,*) '------------------------------------------------------'
write(*,*) 'Adiabatic connection version of BSE correlation energy'
write(*,*) '------------------------------------------------------'
write(*,*)
if(doXBS) then
write(*,*) '*** scaled screening version (XBS) ***'
write(*,*)
end if
call ACFDT(exchange_kernel,doXBS,.true.,TDA_W,TDA,BSE,singlet,triplet,eta,nBas,nC,nO,nV,nR,nS,ERI_MO,eGW,eGW,EcAC)
write(*,*)
write(*,*)'-------------------------------------------------------------------------------'
write(*,'(2X,A50,F20.10)') 'AC@BSE@qsGW correlation energy (singlet) =',EcAC(1)
write(*,'(2X,A50,F20.10)') 'AC@BSE@qsGW correlation energy (triplet) =',EcAC(2)
write(*,'(2X,A50,F20.10)') 'AC@BSE@qsGW correlation energy =',EcAC(1) + EcAC(2)
write(*,'(2X,A50,F20.10)') 'AC@BSE@qsGW total energy =',ENuc + EqsGW + EcAC(1) + EcAC(2)
write(*,*)'-------------------------------------------------------------------------------'
write(*,*)
end if
end if
end subroutine SRG_qsGW

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@ -0,0 +1,38 @@
subroutine renormalization_factor_SRG(eta,nBas,nC,nO,nV,nR,nS,e,Omega,rho,Z)
! Compute renormalization factor for GW
implicit none
include 'parameters.h'
! Input variables
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
double precision,intent(in) :: e(nBas)
double precision,intent(in) :: Omega(nS)
double precision,intent(in) :: rho(nBas,nBas,nS)
! Local variables
integer :: p,i,a,jb
double precision :: eps
! Output variables
double precision,intent(out) :: Z(nBas)
! Initialize
Z(:) = 0d0
! Compute renormalization factor from derivative of SigC
Z(:) = 1d0/(1d0 - Z(:))
end subroutine renormalization_factor_SRG

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@ -0,0 +1,80 @@
subroutine self_energy_correlation_SRG(eta,nBas,nC,nO,nV,nR,nS,e,Omega,rho,EcGM,SigC)
! Compute correlation part of the self-energy
implicit none
include 'parameters.h'
! Input variables
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
double precision,intent(in) :: e(nBas)
double precision,intent(in) :: Omega(nS)
double precision,intent(in) :: rho(nBas,nBas,nS)
! Local variables
integer :: i,j,a,b
integer :: p,q,r
integer :: m
double precision :: Dpim,Dqim,Dpam,Dqam
! Output variables
double precision,intent(out) :: EcGM
double precision,intent(out) :: SigC(nBas,nBas)
! Initialize
SigC(:,:) = 0d0
!--------------------!
! SRG-GW self-energy !
!--------------------!
! Occupied part of the correlation self-energy
do p=nC+1,nBas-nR
do q=nC+1,nBas-nR
do i=nC+1,nO
do m=1,nS
Dpim = e(p) - e(i) + Omega(m)
Dqim = e(q) - e(i) + Omega(m)
SigC(p,q) = SigC(p,q) + 2d0*rho(p,i,m)*rho(q,i,m)*(Dpim + Dqim)/(Dpim**2 + Dqim**2)
end do
end do
end do
end do
! Virtual part of the correlation self-energy
do p=nC+1,nBas-nR
do q=nC+1,nBas-nR
do a=nO+1,nBas-nR
do m=1,nS
Dpam = e(p) - e(a) - Omega(m)
Dqam = e(q) - e(a) - Omega(m)
SigC(p,q) = SigC(p,q) + 2d0*rho(p,a,m)*rho(q,a,m)*(Dpam + Dqam)/(Dpam**2 + Dqam**2)
end do
end do
end do
end do
! Galitskii-Migdal correlation energy
EcGM = 0d0
! do i=nC+1,nO
! do a=nO+1,nBas-nR
! do m=1,nS
! EcGM = EcGM - 4d0*rho(a,i,jb)*rho(a,i,jb)*eps/(eps**2 + eta**2)
! end do
! end do
! end do
end subroutine self_energy_correlation_SRG

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@ -15,7 +15,7 @@ program QuAcK
logical :: doRPA,doRPAx,docrRPA,doppRPA logical :: doRPA,doRPAx,docrRPA,doppRPA
logical :: doADC logical :: doADC
logical :: doG0F2,doevGF2,doqsGF2,doG0F3,doevGF3 logical :: doG0F2,doevGF2,doqsGF2,doG0F3,doevGF3
logical :: doG0W0,doevGW,doqsGW,doufG0W0,doufGW logical :: doG0W0,doevGW,doqsGW,doufG0W0,doufGW,doSRGqsGW
logical :: doG0T0,doevGT,doqsGT logical :: doG0T0,doevGT,doqsGT
integer :: nNuc,nBas,nBasCABS integer :: nNuc,nBas,nBasCABS
@ -167,7 +167,7 @@ program QuAcK
doRPA,doRPAx,docrRPA,doppRPA, & doRPA,doRPAx,docrRPA,doppRPA, &
doG0F2,doevGF2,doqsGF2, & doG0F2,doevGF2,doqsGF2, &
doG0F3,doevGF3, & doG0F3,doevGF3, &
doG0W0,doevGW,doqsGW, & doG0W0,doevGW,doqsGW,doSRGqsGW, &
doufG0W0,doufGW, & doufG0W0,doufGW, &
doG0T0,doevGT,doqsGT) doG0T0,doevGT,doqsGT)
@ -1080,6 +1080,34 @@ program QuAcK
end if end if
!------------------------------------------------------------------------
! Perform SRG-qsGW calculation
!------------------------------------------------------------------------
if(doSRGqsGW) then
call cpu_time(start_qsGW)
if(unrestricted) then
print*,'Unrestricted version of SRG-qsGW NYI'
else
call SRG_qsGW(maxSCF_GW,thresh_GW,n_diis_GW,doACFDT,exchange_kernel,doXBS,BSE,BSE2,TDA_W,TDA,dBSE,dTDA,evDyn, &
singlet,triplet,eta_GW,nNuc,ZNuc,rNuc,ENuc,nBas,nC,nO,nV,nR,nS,ERHF,S,X,T,V,Hc,ERI_AO,ERI_MO, &
dipole_int_AO,dipole_int_MO,PHF,cHF,eHF)
end if
call cpu_time(end_qsGW)
t_qsGW = end_qsGW - start_qsGW
write(*,'(A65,1X,F9.3,A8)') 'Total CPU time for qsGW = ',t_qsGW,' seconds'
write(*,*)
end if
!------------------------------------------------------------------------ !------------------------------------------------------------------------
! Perform ufG0W0 calculatiom ! Perform ufG0W0 calculatiom
!------------------------------------------------------------------------ !------------------------------------------------------------------------

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@ -6,7 +6,7 @@ subroutine read_methods(doRHF,doUHF,doKS,doMOM, &
doRPA,doRPAx,docrRPA,doppRPA, & doRPA,doRPAx,docrRPA,doppRPA, &
doG0F2,doevGF2,doqsGF2, & doG0F2,doevGF2,doqsGF2, &
doG0F3,doevGF3, & doG0F3,doevGF3, &
doG0W0,doevGW,doqsGW, & doG0W0,doevGW,doqsGW,doSRGqsGW, &
doufG0W0,doufGW, & doufG0W0,doufGW, &
doG0T0,doevGT,doqsGT) doG0T0,doevGT,doqsGT)
@ -23,12 +23,12 @@ subroutine read_methods(doRHF,doUHF,doKS,doMOM, &
logical,intent(out) :: doCIS,doCIS_D,doCID,doCISD,doFCI logical,intent(out) :: doCIS,doCIS_D,doCID,doCISD,doFCI
logical,intent(out) :: doRPA,doRPAx,docrRPA,doppRPA logical,intent(out) :: doRPA,doRPAx,docrRPA,doppRPA
logical,intent(out) :: doG0F2,doevGF2,doqsGF2,doG0F3,doevGF3 logical,intent(out) :: doG0F2,doevGF2,doqsGF2,doG0F3,doevGF3
logical,intent(out) :: doG0W0,doevGW,doqsGW,doufG0W0,doufGW logical,intent(out) :: doG0W0,doevGW,doqsGW,doSRGqsGW,doufG0W0,doufGW
logical,intent(out) :: doG0T0,doevGT,doqsGT logical,intent(out) :: doG0T0,doevGT,doqsGT
! Local variables ! Local variables
character(len=1) :: answer1,answer2,answer3,answer4,answer5 character(len=1) :: answer1,answer2,answer3,answer4,answer5,answer6
! Open file with method specification ! Open file with method specification
@ -76,6 +76,7 @@ subroutine read_methods(doRHF,doUHF,doKS,doMOM, &
doG0W0 = .false. doG0W0 = .false.
doevGW = .false. doevGW = .false.
doqsGW = .false. doqsGW = .false.
doSRGqsGW = .false.
doufG0W0 = .false. doufG0W0 = .false.
doufGW = .false. doufGW = .false.
@ -149,12 +150,13 @@ subroutine read_methods(doRHF,doUHF,doKS,doMOM, &
! Read GW methods ! Read GW methods
read(1,*) read(1,*)
read(1,*) answer1,answer2,answer3,answer4,answer5 read(1,*) answer1,answer2,answer3,answer4,answer5,answer6
if(answer1 == 'T') doG0W0 = .true. if(answer1 == 'T') doG0W0 = .true.
if(answer2 == 'T') doevGW = .true. if(answer2 == 'T') doevGW = .true.
if(answer3 == 'T') doqsGW = .true. if(answer3 == 'T') doqsGW = .true.
if(answer4 == 'T') doufG0W0 = .true. if(answer4 == 'T') doSRGqsGW = .true.
if(answer5 == 'T') doufGW = .true. if(answer5 == 'T') doufG0W0 = .true.
if(answer6 == 'T') doufGW = .true.
! Read GT methods ! Read GT methods