fix root search in GTpp and plot routine

This commit is contained in:
Pierre-Francois Loos 2023-08-24 11:46:45 +02:00
parent 9f7a9f5c21
commit e19e870805
5 changed files with 123 additions and 13 deletions

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@ -13,7 +13,7 @@
# G0F2* evGF2* qsGF2* G0F3 evGF3
F F F F F
# G0W0* evGW* qsGW* SRG-qsGW ufG0W0 ufGW
T F F F F F
F F F F F F
# G0T0pp* evGTpp* qsGTpp* G0T0eh evGTeh qsGTeh
F F F T F F
T F F F F F
# * unrestricted version available

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@ -197,6 +197,9 @@ subroutine G0T0pp(doACFDT,exchange_kernel,doXBS,dophBSE,TDA_T,TDA,dBSE,dTDA,dopp
end if
call GTpp_plot_self_energy(eta,nBas,nC,nO,nV,nR,nOOs,nVVs,nOOt,nVVt,eHF,eGT,Om1s,rho1s,Om2s,rho2s, &
Om1t,rho1t,Om2t,rho2t)
!----------------------------------------------
! Dump results
!----------------------------------------------

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@ -1,5 +1,6 @@
subroutine GTeh_QP_graph(eta,nBas,nC,nO,nV,nR,nS,eHF,Om,rhoL,rhoR,eGTlin,eGT,Z)
! Compute the graphical solution of the QP equation
implicit none
@ -67,8 +68,8 @@ subroutine GTeh_QP_graph(eta,nBas,nC,nO,nV,nR,nS,eHF,Om,rhoL,rhoR,eGTlin,eGT,Z)
if(nIt == maxIt) then
write(*,*) 'Newton root search has not converged!'
eGT(p) = eGTlin(p)
write(*,*) 'Newton root search has not converged!'
else

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@ -1,10 +1,13 @@
subroutine GTpp_QP_graph(eta,nBas,nC,nO,nV,nR,nOOs,nVVs,nOOt,nVVt,eHF,Om1s,rho1s,Om2s,rho2s, &
Om1t,rho1t,Om2t,rho2t,eGTlin,eGT,Z)
! Compute the graphical solution of the QP equation
implicit none
include 'parameters.h'
! Iput variables
! Input variables
integer,intent(in) :: nBas
integer,intent(in) :: nC
integer,intent(in) :: nO
@ -23,6 +26,7 @@ subroutine GTpp_QP_graph(eta,nBas,nC,nO,nV,nR,nOOs,nVVs,nOOt,nVVt,eHF,Om1s,rho1s
double precision,intent(in) :: eGTlin(nBas)
! Local variables
integer :: p
integer :: nIt
integer,parameter :: maxIt = 64
@ -41,6 +45,7 @@ subroutine GTpp_QP_graph(eta,nBas,nC,nO,nV,nR,nOOs,nVVs,nOOt,nVVt,eHF,Om1s,rho1s
dSigC = 0d0
! Run Newton's algorithm to find the root
do p=nC+1,nBas-nR
write(*,*) '-----------------'
@ -48,23 +53,21 @@ subroutine GTpp_QP_graph(eta,nBas,nC,nO,nV,nR,nOOs,nVVs,nOOt,nVVt,eHF,Om1s,rho1s
write(*,*) '-----------------'
w = eGTlin(p)
write(*,*) 'HERE', eGTlin(p), eHF(p)
nIt = 0
f = 1d0
write(*,'(A3,I3,A1,1X,3F15.9)') 'It.',nIt,':',w*HaToeV,f
do while (abs(f) > thresh .and. nIt < maxIt)
nIt = nIt + 1
nIt = nIt + 1
SigC = GTpp_SigC(p,w,eta,nBas,nC,nO,nV,nR,nOOs,nVVs,nOOt,nVVt,eHF,Om1s,rho1s,Om2s,rho2s,Om1t,rho1t,Om2t,rho2t)
dSigC = GTpp_dSigC(p,w,eta,nBas,nC,nO,nV,nR,nOOs,nVVs,nOOt,nVVt,eHF,Om1s,rho1s,Om2s,rho2s,Om1t,rho1t,Om2t,rho2t)
f = w - eHF(p) - SigC
df = 1d0/(1d0 - dSigC)
w = w - f/df
SigC = GTpp_SigC(p,w,eta,nBas,nC,nO,nV,nR,nOOs,nVVs,nOOt,nVVt,eGTlin,Om1s,rho1s,Om2s,rho2s,Om1t,rho1t,Om2t,rho2t)
dSigC = GTpp_dSigC(p,w,eta,nBas,nC,nO,nV,nR,nOOs,nVVs,nOOt,nVVt,eGTlin,Om1s,rho1s,Om2s,rho2s,Om1t,rho1t,Om2t,rho2t)
f = w - eHF(p) - SigC
df = 1d0/(1d0 - dSigC)
w = w - df*f
write(*,'(A3,I3,A1,1X,3F15.9)') 'It.',nIt,':',w*HaToeV,df,f
write(*,'(A3,I3,A1,1X,3F15.9)') 'It.',nIt,':',w*HaToeV,df,f
end do
@ -80,6 +83,7 @@ subroutine GTpp_QP_graph(eta,nBas,nC,nO,nV,nR,nOOs,nVVs,nOOt,nVVt,eHF,Om1s,rho1s
write(*,'(A32,F16.10)') 'Quasiparticle energy (eV) ',eGT(p)*HaToeV
write(*,*)
end if

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@ -0,0 +1,102 @@
subroutine GTpp_plot_self_energy(eta,nBas,nC,nO,nV,nR,nOOs,nVVs,nOOt,nVVt,eHF,eGT,Om1s,rho1s,Om2s,rho2s, &
Om1t,rho1t,Om2t,rho2t)
! Dump several GTpp quantities for external plotting
implicit none
include 'parameters.h'
! Input variables
integer,intent(in) :: nBas
integer,intent(in) :: nC
integer,intent(in) :: nO
integer,intent(in) :: nV
integer,intent(in) :: nR
integer,intent(in) :: nOOs,nOOt
integer,intent(in) :: nVVs,nVVt
double precision,intent(in) :: eta
double precision,intent(in) :: eHF(nBas)
double precision,intent(in) :: eGT(nBas)
double precision,intent(in) :: Om1s(nVVs),Om1t(nVVt)
double precision,intent(in) :: rho1s(nBas,nBas,nVVs),rho1t(nBas,nBas,nVVt)
double precision,intent(in) :: Om2s(nOOs),Om2t(nOOt)
double precision,intent(in) :: rho2s(nBas,nBas,nOOs),rho2t(nBas,nBas,nOOt)
! Local variables
integer :: p,g
integer :: nGrid
double precision :: wmin,wmax,dw
double precision,external :: GTpp_SigC,GTpp_dSigC
double precision,allocatable :: w(:)
double precision,allocatable :: SigC(:,:)
double precision,allocatable :: Z(:,:)
double precision,allocatable :: S(:,:)
! Construct grid
nGrid = 1000
allocate(w(nGrid),SigC(nBas,nGrid),Z(nBas,nGrid),S(nBas,nGrid))
! Initialize
SigC(:,:) = 0d0
Z(:,:) = 0d0
! Minimum and maximum frequency values
wmin = -5d0
wmax = +5d0
dw = (wmax - wmin)/dble(ngrid)
do g=1,nGrid
w(g) = wmin + dble(g)*dw
enddo
! Occupied part of the self-energy and renormalization factor
do g=1,nGrid
do p=nC+1,nBas-nR
SigC(p,g) = GTpp_SigC(p,w(g),eta,nBas,nC,nO,nV,nR,nOOs,nVVs,nOOt,nVVt,eGT,Om1s,rho1s,Om2s,rho2s,Om1t,rho1t,Om2t,rho2t)
Z(p,g) = GTpp_dSigC(p,w(g),eta,nBas,nC,nO,nV,nR,nOOs,nVVs,nOOt,nVVt,eGT,Om1s,rho1s,Om2s,rho2s,Om1t,rho1t,Om2t,rho2t)
end do
end do
Z(:,:) = 1d0/(1d0 + Z(:,:))
! Compute spectral function
do g=1,nGrid
do p=nC+1,nBas-nR
S(p,g) = eta/((w(g) - eHF(p) - SigC(p,g))**2 + eta**2)
enddo
enddo
S(:,:) = S(:,:)/pi
! Dump quantities in files as a function of w
open(unit=8 ,file='GTpp_SigC.dat')
open(unit=9 ,file='GTpp_freq.dat')
open(unit=10 ,file='GTpp_Z.dat')
open(unit=11 ,file='GTpp_A.dat')
do g=1,nGrid
write(8 ,*) w(g)*HaToeV,(SigC(p,g)*HaToeV,p=nC+1,nBas-nR)
write(9 ,*) w(g)*HaToeV,((w(g)-eHF(p))*HaToeV,p=nC+1,nBas-nR)
write(10,*) w(g)*HaToeV,(Z(p,g),p=nC+1,nBas-nR)
write(11,*) w(g)*HaToeV,(S(p,g),p=nC+1,nBas-nR)
enddo
! Closing files
close(unit=8)
close(unit=9)
close(unit=10)
close(unit=11)
end subroutine