quack/src/GW/RGWC.f90

297 lines
7.7 KiB
Fortran

subroutine RGWC(dotest,eta,nBas,nC,nO,nV,nR,nS,Om,rho,eHF,e,eGW,Z)
! Perform GW+C calculation
implicit none
include 'parameters.h'
! Input variables
logical,intent(in) :: dotest
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) :: Om(nS)
double precision,intent(in) :: rho(nBas,nBas,nS)
double precision,intent(in) :: eHF(nBas)
double precision,intent(in) :: e(nBas)
double precision,intent(in) :: eGW(nBas)
double precision,intent(in) :: Z(nBas)
! Local variables
integer :: p,q,i,a,m
integer :: iSat
double precision :: num,eps
double precision,parameter :: cutoff = 0d-3
integer,parameter :: maxS = 50
logical,parameter :: do_hole_branch = .true.
logical,parameter :: do_electron_branch = .false.
double precision,allocatable :: de(:,:,:)
double precision,allocatable :: eQP(:)
double precision,allocatable :: ZQP(:)
double precision,allocatable :: ZSat(:,:,:)
double precision,allocatable :: eSat(:,:,:)
integer :: g
integer :: nGrid
double precision :: wmin,wmax,dw
double precision,external :: GW_ReSigC,GW_ImSigC,GW_RedSigC,GW_ImdSigC
double precision,allocatable :: w(:)
double precision,allocatable :: ReSigC(:,:),ImSigC(:,:)
double precision,allocatable :: RedSigC(:,:),ImdSigC(:,:)
double precision,allocatable :: AGWC(:,:)
! Output variables
! Hello world
write(*,*)
write(*,*)'*******************************'
write(*,*)'* Restricted GW+C Calculation *'
write(*,*)'*******************************'
write(*,*)
! Memory allocation
allocate(eQP(nBas),ZQP(nBas),eSat(nBas,nBas,nS),ZSat(nBas,nBas,nS))
! Useful quantities
allocate(de(nBas,nBas,nS))
do p=nC+1,nBas-nR
do i=nC+1,nO
do m=1,nS
de(p,i,m) = e(i) - eHF(p) - Om(m)
end do
end do
end do
do p=nC+1,nBas-nR
do a=nO+1,nBas-nR
do m=1,nS
de(p,a,m) = e(a) - eHF(p) + Om(m)
end do
end do
end do
! GW+C quasiparticle energies and weights
eQP(:) = eHF(:)
ZQP(:) = 0d0
do p=nC+1,nBas-nR
do q=nC+1,nBas-nR
do m=1,nS
num = 2d0*rho(p,q,m)**2
eps = de(p,q,m)
eQP(p) = eQP(p) - num*eps/(eps**2 + eta**2)
ZQP(p) = ZQP(p) - num*(eps**2 - eta**2)/(eps**2 + eta**2)**2
end do
end do
end do
ZQP(:) = exp(ZQP(:))
! Dump results
write(*,*)'-------------------------------------------------------------------------------'
write(*,*)' GW+C calculation '
write(*,*)'-------------------------------------------------------------------------------'
write(*,'(1X,A1,1X,A3,1X,A1,1X,A15,1X,A1,1X,A15,1X,A1,1X,A15,1X,A1,1X,A15,1X,A1,1X)') &
'|','#','|','e_GW (eV)','|','e_GW+C (eV)','|','Z_GW','|','Z_GW+C','|'
write(*,*)'-------------------------------------------------------------------------------'
do p=1,nBas
write(*,'(1X,A1,1X,I3,1X,A1,1X,F15.6,1X,A1,1X,F15.6,1X,A1,1X,F15.6,1X,A1,1X,F15.6,1X,A1,1X)') &
'|',p,'|',eGW(p)*HaToeV,'|',eQP(p)*HaToeV,'|',Z(p),'|',ZQP(p),'|'
end do
write(*,*)'-------------------------------------------------------------------------------'
write(*,*)
! Initializatio
! GW+C satellites on hole branch
if(do_hole_branch) then
! do p=nC+1,nBas-nR
do p=nC+1,nO
do i=nC+1,nO
do m=1,nS
eps = de(p,i,m)
num = ZQP(p)*2d0*rho(p,i,m)**2
eSat(p,i,m) = eQP(p) + eps
ZSat(p,i,m) = num*(eps**2 - eta**2)/(eps**2 + eta**2)**2
end do
end do
end do
write(*,*)'-------------------------------------------------------------------------------'
write(*,*)' Satellite series from GW+C on hole branch'
write(*,*)'-------------------------------------------------------------------------------'
write(*,'(1X,A5,1X,A5,1X,A5,1X,A15,1X,A15,1X)') '#','i','m','e_Sat (eV)','Z_Sat'
write(*,*)'-------------------------------------------------------------------------------'
! do p=nC+1,nBas-nR
do p=nC+1,nO
do i=nC+1,nO
do m=1,maxS
if(ZSat(p,i,m) > cutoff) &
write(*,'(1X,I5,1X,I5,1X,I5,F15.6,1X,F15.6,1X)') p,i,m,eSat(p,i,m)*HaToeV,ZSat(p,i,m)
end do
end do
end do
write(*,*)'-------------------------------------------------------------------------------'
write(*,*)
end if
! GW+C satellites on electron branch
if(do_electron_branch) then
do p=nC+1,nBas-nR
do a=nO+1,nBas-nR
do m=1,nS
eps = de(p,a,m)
num = ZQP(a)*2d0*rho(p,a,m)**2
eSat(p,a,m) = eQP(p) + eps
ZSat(p,a,m) = num*(eps**2 - eta**2)/(eps**2 + eta**2)**2
end do
end do
end do
write(*,*)'-------------------------------------------------------------------------------'
write(*,*)' Satellite series from GW+C on electron branch'
write(*,*)'-------------------------------------------------------------------------------'
write(*,'(1X,A5,1X,A5,1X,A5,1X,A15,1X,A15,1X)') '#','a','m','e_Sat (eV)','Z_Sat'
write(*,*)'-------------------------------------------------------------------------------'
do p=nC+1,nBas-nR
do a=nO+1,nBas-nR
do m=1,maxS
if(ZSat(p,a,m) > cutoff) &
write(*,'(1X,I5,I5,1X,1X,I5,F15.6,1X,F15.6,1X)') p,a,m,eSat(p,a,m)*HaToeV,ZSat(p,a,m)
end do
end do
end do
write(*,*)'-------------------------------------------------------------------------------'
write(*,*)
end if
! Construct grid
nGrid = 1000
allocate(w(nGrid),AGWC(nBas,nGrid))
! Minimum and maximum frequency values
wmin = -10d0
wmax = 0d0
dw = (wmax - wmin)/dble(ngrid)
do g=1,nGrid
w(g) = wmin + dble(g)*dw
end do
! Compute QP part of the spectral function
allocate(ReSigC(nBas,nGrid),ImSigC(nBas,nGrid))
do g=1,nGrid
do p=nC+1,nBas-nR
ImSigC(p,g) = GW_ImSigC(p,eQP(p),eta,nBas,nC,nO,nV,nR,nS,eHF,Om,rho)
end do
end do
do g=1,nGrid
do p=nC+1,nBas-nR
AGWC(p,g) = abs(ImSigC(p,g))/((w(g) - eQP(p))**2 + ImSigC(p,g)**2)
end do
end do
AGWC(:,:) = AGWC(:,:)/pi
! Dump quantities in files as a function of w
open(unit=11 ,file='GWC_AQP.dat')
do g=1,nGrid
write(11,*) w(g)*HaToeV,(AGWC(p,g),p=nC+1,nBas-nR)
end do
! Closing files
close(unit=11)
! Compute cumulant part of the spectral function
AGWC(:,:) = 0d0
if(do_hole_branch) then
do g=1,nGrid
do p=nC+1,nO
! do p=nC+1,nBas-nR
do i=nC+1,nO
do m=1,maxS
ImSigC(p,g) = GW_ImSigC(p,eSat(p,i,m),eta,nBas,nC,nO,nV,nR,nS,eHF,Om,rho)
AGWC(p,g) = AGWC(p,g) + ZSat(p,i,m)/ZQP(p)*abs(ImSigC(p,g))/((w(g) - eSat(p,i,m))**2 + ImSigC(p,g)**2)
end do
end do
end do
end do
end if
if(do_electron_branch) then
do g=1,nGrid
do p=nC+1,nBas-nR
do a=nO+1,nBas-nR
do m=1,maxS
ImSigC(p,g) = GW_ImSigC(p,eSat(p,a,m),eta,nBas,nC,nO,nV,nR,nS,eHF,Om,rho)
AGWC(p,g) = AGWC(p,g) + ZSat(p,a,m)*abs(ImSigC(p,g))/((w(g) - eSat(p,a,m))**2 + ImSigC(p,g)**2)
end do
end do
end do
end do
end if
AGWC(:,:) = AGWC(:,:)/pi
! Dump quantities in files as a function of w
open(unit=12 ,file='GWC_AC.dat')
do g=1,nGrid
write(12,*) w(g)*HaToeV,(AGWC(p,g),p=nC+1,nBas-nR)
end do
! Closing files
close(unit=12)
! Testing zone
! if(dotest) then
! call dump_test_value('R','G0W0 correlation energy',EcRPA)
! end if
end subroutine