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sf-BSE

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This commit is contained in:
Pierre-Francois Loos 2020-09-23 22:48:54 +02:00
parent 2b1b2096c4
commit 08f3567d20
11 changed files with 275 additions and 238 deletions
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4
input/options
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@ -5,11 +5,11 @@
# CC: maxSCF thresh DIIS n_diis # CC: maxSCF thresh DIIS n_diis
64 0.0000001 T 5 64 0.0000001 T 5
# spin: singlet triplet spin_conserved spin_flip TDA # spin: singlet triplet spin_conserved spin_flip TDA
T T T F F T T T T F
# GF: maxSCF thresh DIIS n_diis lin eta renorm # GF: maxSCF thresh DIIS n_diis lin eta renorm
256 0.00001 T 5 T 0.0 3 256 0.00001 T 5 T 0.0 3
# GW/GT: maxSCF thresh DIIS n_diis lin eta COHSEX SOSEX TDA_W G0W GW0 # GW/GT: maxSCF thresh DIIS n_diis lin eta COHSEX SOSEX TDA_W G0W GW0
256 0.00001 T 5 F 0.0 F F F F F 256 0.00001 T 5 T 0.0 F F F F F
# ACFDT: AC Kx XBS # ACFDT: AC Kx XBS
F F T F F T
# BSE: BSE dBSE dTDA evDyn # BSE: BSE dBSE dTDA evDyn

8
src/QuAcK/UG0W0.f90
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@ -112,8 +112,8 @@ subroutine UG0W0(doACFDT,exchange_kernel,doXBS,COHSEX,BSE,TDA_W,TDA,dBSE,dTDA,ev
ispin = 1 ispin = 1
call unrestricted_linear_response(ispin,.true.,TDA_W,.false.,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,1d0, & call unrestricted_linear_response(ispin,.true.,TDA_W,.false.,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,nS_sc,1d0, &
eHF,ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,rho_sc,EcRPA(ispin),Omega_sc,XpY_sc,XmY_sc) eHF,ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,Omega_sc,rho_sc,EcRPA(ispin),Omega_sc,XpY_sc,XmY_sc)
if(print_W) call print_excitation('RPA@UHF',5,nS_sc,Omega_sc) if(print_W) call print_excitation('RPA@UHF',5,nS_sc,Omega_sc)
@ -165,8 +165,8 @@ subroutine UG0W0(doACFDT,exchange_kernel,doXBS,COHSEX,BSE,TDA_W,TDA,dBSE,dTDA,ev
! Compute the RPA correlation energy ! Compute the RPA correlation energy
call unrestricted_linear_response(ispin,.true.,TDA_W,.false.,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,1d0, & call unrestricted_linear_response(ispin,.true.,TDA_W,.false.,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,nS_sc,1d0, &
eGW,ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,rho_sc,EcRPA(ispin),Omega_sc,XpY_sc,XmY_sc) eGW,ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,Omega_sc,rho_sc,EcRPA(ispin),Omega_sc,XpY_sc,XmY_sc)
write(*,*) write(*,*)
write(*,*)'-------------------------------------------------------------------------------' write(*,*)'-------------------------------------------------------------------------------'

3
src/QuAcK/UHF.f90
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@ -232,6 +232,7 @@ subroutine UHF(maxSCF,thresh,max_diis,guess_type,nBas,nO,S,T,V,Hc,ERI,X,ENuc,EUH
! Compute final UHF energy ! Compute final UHF energy
call print_UHF(nBas,nO(:),e(:,:),c(:,:,:),ENuc,ET(:),EV(:),EJ(:),Ex(:),EUHF) call matout(nBas,2,e)
call print_UHF(nBas,nO,e,c,ENuc,ET,EV,EJ,Ex,EUHF)
end subroutine UHF end subroutine UHF

8
src/QuAcK/URPAx.f90
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@ -73,8 +73,8 @@ subroutine URPAx(doACFDT,exchange_kernel,spin_conserved,spin_flip,eta,nBas,nC,nO
allocate(Omega_sc(nS_sc),XpY_sc(nS_sc,nS_sc),XmY_sc(nS_sc,nS_sc)) allocate(Omega_sc(nS_sc),XpY_sc(nS_sc,nS_sc),XmY_sc(nS_sc,nS_sc))
call unrestricted_linear_response(ispin,.false.,.false.,.false.,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,1d0,e, & call unrestricted_linear_response(ispin,.false.,.false.,.false.,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,nS_sc,1d0,e, &
ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,rho_sc,EcRPAx(ispin),Omega_sc,XpY_sc,XmY_sc) ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,Omega_sc,rho_sc,EcRPAx(ispin),Omega_sc,XpY_sc,XmY_sc)
call print_excitation('URPAx ',5,nS_sc,Omega_sc) call print_excitation('URPAx ',5,nS_sc,Omega_sc)
! call print_transition_vectors(nBas,nC,nO,nV,nR,nS,Omega(:,ispin),XpY(:,:,ispin),XmY(:,:,ispin)) ! call print_transition_vectors(nBas,nC,nO,nV,nR,nS,Omega(:,ispin),XpY(:,:,ispin),XmY(:,:,ispin))
@ -95,8 +95,8 @@ subroutine URPAx(doACFDT,exchange_kernel,spin_conserved,spin_flip,eta,nBas,nC,nO
allocate(Omega_sf(nS_sf),XpY_sf(nS_sf,nS_sf),XmY_sf(nS_sf,nS_sf)) allocate(Omega_sf(nS_sf),XpY_sf(nS_sf,nS_sf),XmY_sf(nS_sf,nS_sf))
call unrestricted_linear_response(ispin,.false.,.false.,.false.,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sf,1d0,e, & call unrestricted_linear_response(ispin,.false.,.false.,.false.,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sf,nS_sf,1d0,e, &
ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,rho_sf,EcRPAx(ispin),Omega_sf,XpY_sf,XmY_sf) ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,Omega_sf,rho_sf,EcRPAx(ispin),Omega_sf,XpY_sf,XmY_sf)
call print_excitation('URPAx ',6,nS_sf,Omega_sf) call print_excitation('URPAx ',6,nS_sf,Omega_sf)
! call print_transition_vectors(nBas,nC,nO,nV,nR,nS,Omega(:,ispin),XpY(:,:,ispin),XmY(:,:,ispin)) ! call print_transition_vectors(nBas,nC,nO,nV,nR,nS,Omega(:,ispin),XpY(:,:,ispin),XmY(:,:,ispin))

8
src/QuAcK/UdRPA.f90
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@ -73,8 +73,8 @@ subroutine UdRPA(doACFDT,exchange_kernel,spin_conserved,spin_flip,eta,nBas,nC,nO
allocate(Omega_sc(nS_sc),XpY_sc(nS_sc,nS_sc),XmY_sc(nS_sc,nS_sc)) allocate(Omega_sc(nS_sc),XpY_sc(nS_sc,nS_sc),XmY_sc(nS_sc,nS_sc))
call unrestricted_linear_response(ispin,.true.,.false.,.false.,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,1d0,e, & call unrestricted_linear_response(ispin,.true.,.false.,.false.,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,nS_sc,1d0,e, &
ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,rho_sc,EcRPA(ispin),Omega_sc,XpY_sc,XmY_sc) ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,Omega_sc,rho_sc,EcRPA(ispin),Omega_sc,XpY_sc,XmY_sc)
call print_excitation('URPA ',5,nS_sc,Omega_sc) call print_excitation('URPA ',5,nS_sc,Omega_sc)
! call print_transition_vectors(nBas,nC,nO,nV,nR,nS,Omega(:,ispin),XpY(:,:,ispin),XmY(:,:,ispin)) ! call print_transition_vectors(nBas,nC,nO,nV,nR,nS,Omega(:,ispin),XpY(:,:,ispin),XmY(:,:,ispin))
@ -95,8 +95,8 @@ subroutine UdRPA(doACFDT,exchange_kernel,spin_conserved,spin_flip,eta,nBas,nC,nO
allocate(Omega_sf(nS_sf),XpY_sf(nS_sf,nS_sf),XmY_sf(nS_sf,nS_sf)) allocate(Omega_sf(nS_sf),XpY_sf(nS_sf,nS_sf),XmY_sf(nS_sf,nS_sf))
call unrestricted_linear_response(ispin,.true.,.false.,.false.,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sf,1d0,e, & call unrestricted_linear_response(ispin,.true.,.false.,.false.,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sf,nS_sf,1d0,e, &
ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,rho_sf,EcRPA(ispin),Omega_sf,XpY_sf,XmY_sf) ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,Omega_sf,rho_sf,EcRPA(ispin),Omega_sf,XpY_sf,XmY_sf)
call print_excitation('URPA ',6,nS_sf,Omega_sf) call print_excitation('URPA ',6,nS_sf,Omega_sf)
! call print_transition_vectors(nBas,nC,nO,nV,nR,nS,Omega(:,ispin),XpY(:,:,ispin),XmY(:,:,ispin)) ! call print_transition_vectors(nBas,nC,nO,nV,nR,nS,Omega(:,ispin),XpY(:,:,ispin),XmY(:,:,ispin))

56
src/QuAcK/unrestricted_Bethe_Salpeter.f90
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@ -36,8 +36,8 @@ subroutine unrestricted_Bethe_Salpeter(TDA_W,TDA,dBSE,dTDA,evDyn,spin_conserved,
integer :: ispin integer :: ispin
integer :: isp_W integer :: isp_W
integer :: nS_aa,nS_bb,nS_sc integer :: nS_aa,nS_bb,nS_sc
integer :: nS_ab,nS_ba,nS_sf
double precision,allocatable :: OmRPA_sc(:) double precision,allocatable :: OmRPA_sc(:)
double precision,allocatable :: XpY_RPA_sc(:,:) double precision,allocatable :: XpY_RPA_sc(:,:)
double precision,allocatable :: XmY_RPA_sc(:,:) double precision,allocatable :: XmY_RPA_sc(:,:)
@ -46,6 +46,11 @@ subroutine unrestricted_Bethe_Salpeter(TDA_W,TDA,dBSE,dTDA,evDyn,spin_conserved,
double precision,allocatable :: XpY_BSE_sc(:,:) double precision,allocatable :: XpY_BSE_sc(:,:)
double precision,allocatable :: XmY_BSE_sc(:,:) double precision,allocatable :: XmY_BSE_sc(:,:)
integer :: nS_ab,nS_ba,nS_sf
double precision,allocatable :: OmBSE_sf(:)
double precision,allocatable :: XpY_BSE_sf(:,:)
double precision,allocatable :: XmY_BSE_sf(:,:)
! Output variables ! Output variables
double precision,intent(out) :: EcRPA(nspin) double precision,intent(out) :: EcRPA(nspin)
@ -55,11 +60,7 @@ subroutine unrestricted_Bethe_Salpeter(TDA_W,TDA,dBSE,dTDA,evDyn,spin_conserved,
! Spin-conserved excitations ! ! Spin-conserved excitations !
!----------------------------! !----------------------------!
if(spin_conserved) then
ispin = 1
isp_W = 1 isp_W = 1
EcBSE(ispin) = 0d0
! Memory allocation ! Memory allocation
@ -68,12 +69,11 @@ subroutine unrestricted_Bethe_Salpeter(TDA_W,TDA,dBSE,dTDA,evDyn,spin_conserved,
nS_sc = nS_aa + nS_bb nS_sc = nS_aa + nS_bb
allocate(OmRPA_sc(nS_sc),XpY_RPA_sc(nS_sc,nS_sc),XmY_RPA_sc(nS_sc,nS_sc),rho_RPA_sc(nBas,nBas,nS_sc,nspin)) allocate(OmRPA_sc(nS_sc),XpY_RPA_sc(nS_sc,nS_sc),XmY_RPA_sc(nS_sc,nS_sc),rho_RPA_sc(nBas,nBas,nS_sc,nspin))
allocate(OmBSE_sc(nS_sc),XpY_BSE_sc(nS_sc,nS_sc),XmY_BSE_sc(nS_sc,nS_sc))
! Compute spin-conserved RPA screening ! Compute spin-conserved RPA screening
call unrestricted_linear_response(isp_W,.true.,TDA_W,.false.,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,1d0, & call unrestricted_linear_response(isp_W,.true.,TDA_W,.false.,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,nS_sc,1d0, &
eW,ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,rho_RPA_sc,EcRPA(ispin), & eW,ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,OmRPA_sc,rho_RPA_sc,EcRPA(isp_W), &
OmRPA_sc,XpY_RPA_sc,XmY_RPA_sc) OmRPA_sc,XpY_RPA_sc,XmY_RPA_sc)
! call print_excitation('RPA@UG0W0',5,nS_sc,OmRPA_sc) ! call print_excitation('RPA@UG0W0',5,nS_sc,OmRPA_sc)
@ -81,12 +81,20 @@ subroutine unrestricted_Bethe_Salpeter(TDA_W,TDA,dBSE,dTDA,evDyn,spin_conserved,
call unrestricted_excitation_density(nBas,nC,nO,nR,nS_aa,nS_bb,nS_sc,ERI_aaaa,ERI_aabb,ERI_bbbb, & call unrestricted_excitation_density(nBas,nC,nO,nR,nS_aa,nS_bb,nS_sc,ERI_aaaa,ERI_aabb,ERI_bbbb, &
XpY_RPA_sc,rho_RPA_sc) XpY_RPA_sc,rho_RPA_sc)
if(spin_conserved) then
ispin = 1
EcBSE(ispin) = 0d0
allocate(OmBSE_sc(nS_sc),XpY_BSE_sc(nS_sc,nS_sc),XmY_BSE_sc(nS_sc,nS_sc))
! Compute spin-conserved BSE excitation energies ! Compute spin-conserved BSE excitation energies
OmBSE_sc(:) = OmRPA_sc(:) OmBSE_sc(:) = OmRPA_sc(:)
call unrestricted_linear_response(ispin,.true.,TDA,.true.,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,1d0, & call unrestricted_linear_response(ispin,.true.,TDA,.true.,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,nS_sc,1d0, &
eGW,ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,rho_RPA_sc,EcBSE(ispin), & eGW,ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,OmRPA_sc,rho_RPA_sc,EcBSE(ispin), &
OmBSE_sc,XpY_BSE_sc,XmY_BSE_sc) OmBSE_sc,XpY_BSE_sc,XmY_BSE_sc)
call print_excitation('BSE@UG0W0',5,nS_sc,OmBSE_sc) call print_excitation('BSE@UG0W0',5,nS_sc,OmBSE_sc)
@ -117,25 +125,25 @@ subroutine unrestricted_Bethe_Salpeter(TDA_W,TDA,dBSE,dTDA,evDyn,spin_conserved,
! Spin-flip excitations ! ! Spin-flip excitations !
!-----------------------! !-----------------------!
!if(spin_flip) then if(spin_flip) then
! ispin = 2 ispin = 2
! isp_W = 1
! EcBSE(ispin) = 0d0
! ! Compute (singlet) RPA screening EcBSE(ispin) = 0d0
! call linear_response(isp_W,.true.,TDA_W,.false.,eta,nBas,nC,nO,nV,nR,nS,1d0,eW,ERI, & ! Memory allocation
! rho_RPA(:,:,:,ispin),EcRPA(ispin),OmRPA(:,ispin),XpY_RPA(:,:,ispin),XmY_RPA(:,:,ispin))
! call excitation_density(nBas,nC,nO,nR,nS,ERI,XpY_RPA(:,:,ispin),rho_RPA(:,:,:,ispin))
! ! Compute BSE excitation energies nS_ab = (nO(1) - nC(1))*(nV(2) - nR(2))
nS_ba = (nO(2) - nC(2))*(nV(1) - nR(1))
nS_sf = nS_ab + nS_ba
! OmBSE(:,ispin) = OmRPA(:,ispin) allocate(OmBSE_sf(nS_sf),XpY_BSE_sf(nS_sf,nS_sf),XmY_BSE_sf(nS_sf,nS_sf))
! call linear_response(ispin,.true.,TDA,.true.,eta,nBas,nC,nO,nV,nR,nS,1d0,eGW,ERI, & call unrestricted_linear_response(ispin,.true.,TDA,.true.,eta,nBas,nC,nO,nV,nR,nS_ab,nS_ba,nS_sf,nS_sc,1d0, &
! rho_RPA(:,:,:,ispin),EcBSE(ispin),OmBSE(:,ispin),XpY_BSE(:,:,ispin),XmY_BSE(:,:,ispin)) eGW,ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,OmRPA_sc,rho_RPA_sc,EcBSE(ispin), &
! call print_excitation('BSE ',ispin,nS,OmBSE(:,ispin)) OmBSE_sf,XpY_BSE_sf,XmY_BSE_sf)
call print_excitation('BSE@UG0W0',6,nS_sf,OmBSE_sf)
!------------------------------------------------- !-------------------------------------------------
! Compute the dynamical screening at the BSE level ! Compute the dynamical screening at the BSE level
@ -157,6 +165,6 @@ subroutine unrestricted_Bethe_Salpeter(TDA_W,TDA,dBSE,dTDA,evDyn,spin_conserved,
! end if ! end if
! end if end if
end subroutine unrestricted_Bethe_Salpeter end subroutine unrestricted_Bethe_Salpeter

138
src/QuAcK/unrestricted_Bethe_Salpeter_A_matrix.f90
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@ -1,4 +1,4 @@
subroutine unrestricted_Bethe_Salpeter_A_matrix(eta,nBas,nC,nO,nV,nR,nSa,nSb,nSt,lambda, & subroutine unrestricted_Bethe_Salpeter_A_matrix(ispin,eta,nBas,nC,nO,nV,nR,nSa,nSb,nSt,nSsc,lambda, &
ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,Omega,rho,A_lr) ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,Omega,rho,A_lr)
! Compute the extra term for Bethe-Salpeter equation for linear response in the unrestricted formalism ! Compute the extra term for Bethe-Salpeter equation for linear response in the unrestricted formalism
@ -8,6 +8,7 @@ subroutine unrestricted_Bethe_Salpeter_A_matrix(eta,nBas,nC,nO,nV,nR,nSa,nSb,nSt
! Input variables ! Input variables
integer,intent(in) :: ispin
integer,intent(in) :: nBas integer,intent(in) :: nBas
integer,intent(in) :: nC(nspin) integer,intent(in) :: nC(nspin)
integer,intent(in) :: nO(nspin) integer,intent(in) :: nO(nspin)
@ -16,14 +17,15 @@ subroutine unrestricted_Bethe_Salpeter_A_matrix(eta,nBas,nC,nO,nV,nR,nSa,nSb,nSt
integer,intent(in) :: nSa integer,intent(in) :: nSa
integer,intent(in) :: nSb integer,intent(in) :: nSb
integer,intent(in) :: nSt integer,intent(in) :: nSt
integer,intent(in) :: nSsc
double precision,intent(in) :: eta double precision,intent(in) :: eta
double precision,intent(in) :: lambda double precision,intent(in) :: lambda
double precision,intent(in) :: ERI_aaaa(nBas,nBas,nBas,nBas) double precision,intent(in) :: ERI_aaaa(nBas,nBas,nBas,nBas)
double precision,intent(in) :: ERI_aabb(nBas,nBas,nBas,nBas) double precision,intent(in) :: ERI_aabb(nBas,nBas,nBas,nBas)
double precision,intent(in) :: ERI_bbbb(nBas,nBas,nBas,nBas) double precision,intent(in) :: ERI_bbbb(nBas,nBas,nBas,nBas)
double precision,intent(in) :: ERI_abab(nBas,nBas,nBas,nBas) double precision,intent(in) :: ERI_abab(nBas,nBas,nBas,nBas)
double precision,intent(in) :: Omega(nSt) double precision,intent(in) :: Omega(nSsc)
double precision,intent(in) :: rho(nBas,nBas,nSt,nspin) double precision,intent(in) :: rho(nBas,nBas,nSsc,nspin)
! Local variables ! Local variables
@ -35,9 +37,11 @@ subroutine unrestricted_Bethe_Salpeter_A_matrix(eta,nBas,nC,nO,nV,nR,nSa,nSb,nSt
double precision,intent(out) :: A_lr(nSt,nSt) double precision,intent(out) :: A_lr(nSt,nSt)
!--------------------------------! !--------------------------------------------------!
! Build part A of the BSE matrix ! ! Build BSE matrix for spin-conserving transitions !
!--------------------------------! !--------------------------------------------------!
if(ispin == 1) then
! aaaa block ! aaaa block
@ -51,63 +55,12 @@ subroutine unrestricted_Bethe_Salpeter_A_matrix(eta,nBas,nC,nO,nV,nR,nSa,nSb,nSt
jb = jb + 1 jb = jb + 1
chi = 0d0 chi = 0d0
do kc=1,nSt do kc=1,nSsc
eps = Omega(kc)**2 + eta**2 eps = Omega(kc)**2 + eta**2
chi = chi + rho(i,j,kc,1)*rho(a,b,kc,1)*Omega(kc)/eps & chi = chi + rho(i,j,kc,1)*rho(a,b,kc,1)*Omega(kc)/eps
+ rho(i,j,kc,1)*rho(a,b,kc,1)*Omega(kc)/eps
enddo enddo
A_lr(ia,jb) = A_lr(ia,jb) - lambda*ERI_aaaa(i,b,j,a) + 2d0*lambda*chi A_lr(ia,jb) = A_lr(ia,jb) - lambda*ERI_aaaa(i,b,j,a) + 4d0*lambda*chi
enddo
enddo
enddo
enddo
! aabb block
ia = 0
do i=nC(1)+1,nO(1)
do a=nO(1)+1,nBas-nR(1)
ia = ia + 1
jb = 0
do j=nC(2)+1,nO(2)
do b=nO(2)+1,nBas-nR(2)
jb = jb + 1
chi = 0d0
do kc=1,nSt
eps = Omega(kc)**2 + eta**2
chi = chi + rho(i,j,kc,1)*rho(a,b,kc,1)*Omega(kc)/eps &
+ rho(i,j,kc,2)*rho(a,b,kc,2)*Omega(kc)/eps
enddo
A_lr(ia,nSa+jb) = A_lr(ia,nSa+jb) - lambda*ERI_aabb(i,b,j,a) + 2d0*lambda*chi
enddo
enddo
enddo
enddo
! bbaa block
ia = 0
do i=nC(2)+1,nO(2)
do a=nO(2)+1,nBas-nR(2)
ia = ia + 1
jb = 0
do j=nC(1)+1,nO(1)
do b=nO(1)+1,nBas-nR(1)
jb = jb + 1
chi = 0d0
do kc=1,nSt
eps = Omega(kc)**2 + eta**2
chi = chi + rho(i,j,kc,2)*rho(a,b,kc,2)*Omega(kc)/eps &
+ rho(i,j,kc,1)*rho(a,b,kc,1)*Omega(kc)/eps
enddo
A_lr(nSa+ia,jb) = A_lr(nSa+ia,jb) - lambda*ERI_aabb(b,i,a,j) + 2d0*lambda*chi
enddo enddo
enddo enddo
@ -126,17 +79,74 @@ subroutine unrestricted_Bethe_Salpeter_A_matrix(eta,nBas,nC,nO,nV,nR,nSa,nSb,nSt
jb = jb + 1 jb = jb + 1
chi = 0d0 chi = 0d0
do kc=1,nSt do kc=1,nSsc
eps = Omega(kc)**2 + eta**2 eps = Omega(kc)**2 + eta**2
chi = chi + rho(i,j,kc,2)*rho(a,b,kc,2)*Omega(kc)/eps & chi = chi + rho(i,j,kc,2)*rho(a,b,kc,2)*Omega(kc)/eps
+ rho(i,j,kc,2)*rho(a,b,kc,2)*Omega(kc)/eps
enddo enddo
A_lr(nSa+ia,nSa+jb) = A_lr(nSa+ia,nSa+jb) - lambda*ERI_bbbb(i,b,j,a) + 2d0*lambda*chi A_lr(nSa+ia,nSa+jb) = A_lr(nSa+ia,nSa+jb) - lambda*ERI_bbbb(i,b,j,a) + 4d0*lambda*chi
enddo enddo
enddo enddo
enddo enddo
enddo enddo
end if
!--------------------------------------------!
! Build BSE matrix for spin-flip transitions !
!--------------------------------------------!
if(ispin == 2) then
! abab block
ia = 0
do i=nC(1)+1,nO(1)
do a=nO(2)+1,nBas-nR(2)
ia = ia + 1
jb = 0
do j=nC(1)+1,nO(1)
do b=nO(2)+1,nBas-nR(2)
jb = jb + 1
chi = 0d0
do kc=1,nSsc
eps = Omega(kc)**2 + eta**2
chi = chi + rho(i,j,kc,1)*rho(a,b,kc,2)*Omega(kc)/eps
enddo
A_lr(ia,jb) = A_lr(ia,jb) - lambda*ERI_abab(i,b,j,a) + 4d0*lambda*chi
end do
end do
end do
end do
! baba block
ia = 0
do i=nC(2)+1,nO(2)
do a=nO(1)+1,nBas-nR(1)
ia = ia + 1
jb = 0
do j=nC(2)+1,nO(2)
do b=nO(1)+1,nBas-nR(1)
jb = jb + 1
chi = 0d0
do kc=1,nSsc
eps = Omega(kc)**2 + eta**2
chi = chi + rho(i,j,kc,2)*rho(a,b,kc,1)*Omega(kc)/eps
enddo
A_lr(nSa+ia,nSa+jb) = A_lr(nSa+ia,nSa+jb) - lambda*ERI_abab(b,i,a,j) + 4d0*lambda*chi
end do
end do
end do
end do
end if
end subroutine unrestricted_Bethe_Salpeter_A_matrix end subroutine unrestricted_Bethe_Salpeter_A_matrix

77
src/QuAcK/unrestricted_Bethe_Salpeter_B_matrix.f90
View File

@ -1,6 +1,5 @@
subroutine unrestricted_Bethe_Salpeter_B_matrix(eta,nBas,nC,nO,nV,nR,nSa,nSb,nSt,lambda, & subroutine unrestricted_Bethe_Salpeter_B_matrix(ispin,eta,nBas,nC,nO,nV,nR,nSa,nSb,nSt,nSsc,lambda, &
ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab, & ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,Omega,rho,B_lr)
Omega,rho,B_lr)
! Compute the extra term for Bethe-Salpeter equation for linear response ! Compute the extra term for Bethe-Salpeter equation for linear response
@ -9,6 +8,7 @@ subroutine unrestricted_Bethe_Salpeter_B_matrix(eta,nBas,nC,nO,nV,nR,nSa,nSb,nSt
! Input variables ! Input variables
integer,intent(in) :: ispin
integer,intent(in) :: nBas integer,intent(in) :: nBas
integer,intent(in) :: nC(nspin) integer,intent(in) :: nC(nspin)
integer,intent(in) :: nO(nspin) integer,intent(in) :: nO(nspin)
@ -17,14 +17,15 @@ subroutine unrestricted_Bethe_Salpeter_B_matrix(eta,nBas,nC,nO,nV,nR,nSa,nSb,nSt
integer,intent(in) :: nSa integer,intent(in) :: nSa
integer,intent(in) :: nSb integer,intent(in) :: nSb
integer,intent(in) :: nSt integer,intent(in) :: nSt
integer,intent(in) :: nSsc
double precision,intent(in) :: eta double precision,intent(in) :: eta
double precision,intent(in) :: lambda double precision,intent(in) :: lambda
double precision,intent(in) :: ERI_aaaa(nBas,nBas,nBas,nBas) double precision,intent(in) :: ERI_aaaa(nBas,nBas,nBas,nBas)
double precision,intent(in) :: ERI_aabb(nBas,nBas,nBas,nBas) double precision,intent(in) :: ERI_aabb(nBas,nBas,nBas,nBas)
double precision,intent(in) :: ERI_bbbb(nBas,nBas,nBas,nBas) double precision,intent(in) :: ERI_bbbb(nBas,nBas,nBas,nBas)
double precision,intent(in) :: ERI_abab(nBas,nBas,nBas,nBas) double precision,intent(in) :: ERI_abab(nBas,nBas,nBas,nBas)
double precision,intent(in) :: Omega(nSt) double precision,intent(in) :: Omega(nSsc)
double precision,intent(in) :: rho(nBas,nBas,nSt,nspin) double precision,intent(in) :: rho(nBas,nBas,nSsc,nspin)
! Local variables ! Local variables
@ -36,7 +37,13 @@ subroutine unrestricted_Bethe_Salpeter_B_matrix(eta,nBas,nC,nO,nV,nR,nSa,nSb,nSt
double precision,intent(out) :: B_lr(nSt,nSt) double precision,intent(out) :: B_lr(nSt,nSt)
! alpha-alpha block !--------------------------------------------------!
! Build BSE matrix for spin-conserving transitions !
!--------------------------------------------------!
if(ispin == 1) then
! aaaa block
ia = 0 ia = 0
do i=nC(1)+1,nO(1) do i=nC(1)+1,nO(1)
@ -48,24 +55,24 @@ subroutine unrestricted_Bethe_Salpeter_B_matrix(eta,nBas,nC,nO,nV,nR,nSa,nSb,nSt
jb = jb + 1 jb = jb + 1
chi = 0d0 chi = 0d0
do kc=1,nSt do kc=1,nSsc
eps = Omega(kc)**2 + eta**2 eps = Omega(kc)**2 + eta**2
chi = chi + rho(i,b,kc,1)*rho(a,j,kc,1)*Omega(kc)/eps & chi = chi + rho(i,b,kc,1)*rho(a,j,kc,1)*Omega(kc)/eps
+ rho(i,b,kc,1)*rho(a,j,kc,1)*Omega(kc)/eps
enddo enddo
B_lr(ia,jb) = B_lr(ia,jb) - lambda*ERI_aaaa(i,j,b,a) + 2d0*lambda*chi B_lr(ia,jb) = B_lr(ia,jb) - lambda*ERI_aaaa(i,j,b,a) + 4d0*lambda*chi
enddo enddo
enddo enddo
enddo enddo
enddo enddo
! alpha-beta block
! bbbb block
ia = 0 ia = 0
do i=nC(1)+1,nO(1) do i=nC(2)+1,nO(2)
do a=nO(1)+1,nBas-nR(1) do a=nO(2)+1,nBas-nR(2)
ia = ia + 1 ia = ia + 1
jb = 0 jb = 0
do j=nC(2)+1,nO(2) do j=nC(2)+1,nO(2)
@ -73,67 +80,75 @@ subroutine unrestricted_Bethe_Salpeter_B_matrix(eta,nBas,nC,nO,nV,nR,nSa,nSb,nSt
jb = jb + 1 jb = jb + 1
chi = 0d0 chi = 0d0
do kc=1,nSt do kc=1,nSsc
eps = Omega(kc)**2 + eta**2 eps = Omega(kc)**2 + eta**2
chi = chi + rho(i,b,kc,1)*rho(a,j,kc,1)*Omega(kc)/eps & chi = chi + rho(i,b,kc,2)*rho(a,j,kc,2)*Omega(kc)/eps
+ rho(i,b,kc,2)*rho(a,j,kc,2)*Omega(kc)/eps
enddo enddo
B_lr(ia,nSa+jb) = B_lr(ia,nSa+jb) - lambda*ERI_aabb(i,j,b,a) + 2d0*lambda*chi B_lr(nSa+ia,nSa+jb) = B_lr(nSa+ia,nSa+jb) - lambda*ERI_bbbb(i,j,b,a) + 4d0*lambda*chi
enddo enddo
enddo enddo
enddo enddo
enddo enddo
! beta-alpha block end if
!--------------------------------------------!
! Build BSE matrix for spin-flip transitions !
!--------------------------------------------!
if(ispin == 2) then
! abba block
ia = 0 ia = 0
do i=nC(2)+1,nO(2) do i=nC(1)+1,nO(1)
do a=nO(2)+1,nBas-nR(2) do a=nO(2)+1,nBas-nR(2)
ia = ia + 1 ia = ia + 1
jb = 0 jb = 0
do j=nC(1)+1,nO(1) do j=nC(2)+1,nO(2)
do b=nO(1)+1,nBas-nR(1) do b=nO(1)+1,nBas-nR(1)
jb = jb + 1 jb = jb + 1
chi = 0d0 chi = 0d0
do kc=1,nSt do kc=1,nSsc
eps = Omega(kc)**2 + eta**2 eps = Omega(kc)**2 + eta**2
chi = chi + rho(i,b,kc,2)*rho(a,j,kc,2)*Omega(kc)/eps & chi = chi + rho(i,b,kc,1)*rho(a,j,kc,2)*Omega(kc)/eps
+ rho(i,b,kc,1)*rho(a,j,kc,1)*Omega(kc)/eps
enddo enddo
B_lr(nSa+ia,jb) = B_lr(nSa+ia,jb) - lambda*ERI_aabb(j,i,a,b) + 2d0*lambda*chi B_lr(ia,nSa+jb) = B_lr(ia,nSa+jb) - lambda*ERI_abab(i,a,b,j) + 4d0*lambda*chi
end do end do
end do end do
end do end do
end do end do
! beta-beta block ! baab block
ia = 0 ia = 0
do i=nC(2)+1,nO(2) do i=nC(2)+1,nO(2)
do a=nO(2)+1,nBas-nR(2) do a=nO(1)+1,nBas-nR(1)
ia = ia + 1 ia = ia + 1
jb = 0 jb = 0
do j=nC(2)+1,nO(2) do j=nC(1)+1,nO(1)
do b=nO(2)+1,nBas-nR(2) do b=nO(2)+1,nBas-nR(2)
jb = jb + 1 jb = jb + 1
chi = 0d0 chi = 0d0
do kc=1,nSt do kc=1,nSsc
eps = Omega(kc)**2 + eta**2 eps = Omega(kc)**2 + eta**2
chi = chi + rho(i,b,kc,2)*rho(a,j,kc,2)*Omega(kc)/eps & chi = chi + rho(i,b,kc,2)*rho(a,j,kc,1)*Omega(kc)/eps
+ rho(i,b,kc,2)*rho(a,j,kc,2)*Omega(kc)/eps
enddo enddo
B_lr(nSa+ia,nSa+jb) = B_lr(nSa+ia,nSa+jb) - lambda*ERI_bbbb(i,j,b,a) + 2d0*lambda*chi B_lr(nSa+ia,jb) = B_lr(nSa+ia,jb) - lambda*ERI_abab(b,j,i,a) + 4d0*lambda*chi
end do end do
end do end do
end do end do
end do end do
end if
end subroutine unrestricted_Bethe_Salpeter_B_matrix end subroutine unrestricted_Bethe_Salpeter_B_matrix

17
src/QuAcK/unrestricted_linear_response.f90
View File

@ -1,5 +1,5 @@
subroutine unrestricted_linear_response(ispin,dRPA,TDA,BSE,eta,nBas,nC,nO,nV,nR,nSa,nSb,nSt,lambda, & subroutine unrestricted_linear_response(ispin,dRPA,TDA,BSE,eta,nBas,nC,nO,nV,nR,nSa,nSb,nSt,nSsc,lambda, &
e,ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,rho,EcRPA,Omega,XpY,XmY) e,ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,Omega_RPA,rho_RPA,EcRPA,Omega,XpY,XmY)
! Compute linear response for unrestricted formalism ! Compute linear response for unrestricted formalism
@ -21,14 +21,17 @@ subroutine unrestricted_linear_response(ispin,dRPA,TDA,BSE,eta,nBas,nC,nO,nV,nR,
integer,intent(in) :: nSa integer,intent(in) :: nSa
integer,intent(in) :: nSb integer,intent(in) :: nSb
integer,intent(in) :: nSt integer,intent(in) :: nSt
integer,intent(in) :: nSsc
double precision,intent(in) :: lambda double precision,intent(in) :: lambda
double precision,intent(in) :: e(nBas,nspin) double precision,intent(in) :: e(nBas,nspin)
double precision,intent(in) :: rho(nBas,nBas,nSt,nspin)
double precision,intent(in) :: ERI_aaaa(nBas,nBas,nBas,nBas) double precision,intent(in) :: ERI_aaaa(nBas,nBas,nBas,nBas)
double precision,intent(in) :: ERI_aabb(nBas,nBas,nBas,nBas) double precision,intent(in) :: ERI_aabb(nBas,nBas,nBas,nBas)
double precision,intent(in) :: ERI_bbbb(nBas,nBas,nBas,nBas) double precision,intent(in) :: ERI_bbbb(nBas,nBas,nBas,nBas)
double precision,intent(in) :: ERI_abab(nBas,nBas,nBas,nBas) double precision,intent(in) :: ERI_abab(nBas,nBas,nBas,nBas)
double precision,intent(in) :: Omega_RPA(nSsc)
double precision,intent(in) :: rho_RPA(nBas,nBas,nSsc,nspin)
! Local variables ! Local variables
integer :: ia integer :: ia
@ -58,8 +61,8 @@ subroutine unrestricted_linear_response(ispin,dRPA,TDA,BSE,eta,nBas,nC,nO,nV,nR,
ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,A) ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,A)
if(BSE) & if(BSE) &
call unrestricted_Bethe_Salpeter_A_matrix(eta,nBas,nC,nO,nV,nR,nSa,nSb,nSt,lambda, & call unrestricted_Bethe_Salpeter_A_matrix(ispin,eta,nBas,nC,nO,nV,nR,nSa,nSb,nSt,nSsc,lambda, &
ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,Omega,rho,A) ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,Omega_RPA,rho_RPA,A)
! Tamm-Dancoff approximation ! Tamm-Dancoff approximation
@ -70,8 +73,8 @@ subroutine unrestricted_linear_response(ispin,dRPA,TDA,BSE,eta,nBas,nC,nO,nV,nR,
ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,B) ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,B)
if(BSE) & if(BSE) &
call unrestricted_Bethe_Salpeter_B_matrix(eta,nBas,nC,nO,nV,nR,nSa,nSb,nSt,lambda, & call unrestricted_Bethe_Salpeter_B_matrix(ispin,eta,nBas,nC,nO,nV,nR,nSa,nSb,nSt,nSsc,lambda, &
ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,Omega,rho,B) ERI_aaaa,ERI_aabb,ERI_bbbb,ERI_abab,Omega_RPA,rho_RPA,B)
end if end if

4
src/QuAcK/unrestricted_linear_response_A_matrix.f90
View File

@ -143,7 +143,7 @@ subroutine unrestricted_linear_response_A_matrix(ispin,dRPA,nBas,nC,nO,nV,nR,nSa
jb = jb + 1 jb = jb + 1
A_lr(ia,jb) = (e(a,2) - e(i,1))*Kronecker_delta(i,j)*Kronecker_delta(a,b) & A_lr(ia,jb) = (e(a,2) - e(i,1))*Kronecker_delta(i,j)*Kronecker_delta(a,b) &
+ lambda*ERI_abab(i,b,a,j) - (1d0 - delta_dRPA)*lambda*ERI_abab(i,b,j,a) - (1d0 - delta_dRPA)*lambda*ERI_abab(i,b,j,a)
end do end do
end do end do
@ -162,7 +162,7 @@ subroutine unrestricted_linear_response_A_matrix(ispin,dRPA,nBas,nC,nO,nV,nR,nSa
jb = jb + 1 jb = jb + 1
A_lr(nSa+ia,nSa+jb) = (e(a,1) - e(i,2))*Kronecker_delta(i,j)*Kronecker_delta(a,b) & A_lr(nSa+ia,nSa+jb) = (e(a,1) - e(i,2))*Kronecker_delta(i,j)*Kronecker_delta(a,b) &
+ lambda*ERI_abab(b,i,j,a) - (1d0 - delta_dRPA)*lambda*ERI_abab(b,i,a,j) - (1d0 - delta_dRPA)*lambda*ERI_abab(b,i,a,j)
end do end do
end do end do

14
src/QuAcK/unrestricted_linear_response_B_matrix.f90
View File

@ -128,7 +128,7 @@ subroutine unrestricted_linear_response_B_matrix(ispin,dRPA,nBas,nC,nO,nV,nR,nSa
B_lr(:,:) = 0d0 B_lr(:,:) = 0d0
! abab block ! abba block
ia = 0 ia = 0
do i=nC(1)+1,nO(1) do i=nC(1)+1,nO(1)
@ -136,28 +136,28 @@ subroutine unrestricted_linear_response_B_matrix(ispin,dRPA,nBas,nC,nO,nV,nR,nSa
ia = ia + 1 ia = ia + 1
jb = 0 jb = 0
do j=nC(2)+1,nO(2) do j=nC(2)+1,nO(2)
do b=nO(2)+1,nBas-nR(2) do b=nO(1)+1,nBas-nR(1)
jb = jb + 1 jb = jb + 1
B_lr(ia,jb) = lambda*ERI_abab(i,j,a,b) - (1d0 - delta_dRPA)*lambda*ERI_abab(i,j,b,a) B_lr(ia,nSa+jb) = - (1d0 - delta_dRPA)*lambda*ERI_abab(i,a,b,j)
end do end do
end do end do
end do end do
end do end do
! bbbb block ! baab block
ia = 0 ia = 0
do i=nC(2)+1,nO(2) do i=nC(2)+1,nO(2)
do a=nO(1)+1,nBas-nR(1) do a=nO(1)+1,nBas-nR(1)
ia = ia + 1 ia = ia + 1
jb = 0 jb = 0
do j=nC(2)+1,nO(2) do j=nC(1)+1,nO(1)
do b=nO(1)+1,nBas-nR(1) do b=nO(2)+1,nBas-nR(2)
jb = jb + 1 jb = jb + 1
B_lr(nSa+ia,nSa+jb) = lambda*ERI_abab(j,i,b,a) - (1d0 - delta_dRPA)*lambda*ERI_abab(j,i,a,b) B_lr(nSa+ia,jb) = - (1d0 - delta_dRPA)*lambda*ERI_abab(b,j,i,a)
end do end do
end do end do