timing in ufG0W0

This commit is contained in:
Pierre-Francois Loos 2023-11-27 09:56:32 +01:00
parent 1f8a2d2b13
commit 8a7e9ae90d
3 changed files with 349 additions and 316 deletions

View File

@ -74,7 +74,7 @@ subroutine GG0F2(dotest,dophBSE,doppBSE,TDA,dBSE,dTDA,linearize,eta,regularize,
else
write(*,*) ' *** Quasiparticle energies obtained by root search (experimental) *** '
write(*,*) ' *** Quasiparticle energies obtained by root search *** '
write(*,*)
call GGF2_QP_graph(eta,nBas,nC,nO,nV,nR,eHF,ERI,eGFlin,eHF,eGF,Z)

View File

@ -75,7 +75,7 @@ subroutine RG0F2(dotest,dophBSE,doppBSE,TDA,dBSE,dTDA,singlet,triplet,linearize,
else
write(*,*) ' *** Quasiparticle energies obtained by root search (experimental) *** '
write(*,*) ' *** Quasiparticle energies obtained by root search *** '
write(*,*)
call GF2_QP_graph(eta,nBas,nC,nO,nV,nR,eHF,ERI,eGFlin,eHF,eGF,Z)

View File

@ -49,6 +49,8 @@ subroutine ufG0W0(dotest,TDA_W,nBas,nC,nO,nV,nR,nS,ENuc,ERHF,ERI,eHF)
double precision,parameter :: cutoff1 = 0.01d0
double precision,parameter :: cutoff2 = 0.01d0
double precision :: start_timing,end_timing,timing
! Output variables
! Hello world
@ -76,359 +78,390 @@ subroutine ufG0W0(dotest,TDA_W,nBas,nC,nO,nV,nR,nS,ENuc,ERHF,ERI,eHF)
H(:,:) = 0d0
!!! Compute only the HOMO !!!
!-------------------------!
! Main loop over orbitals !
!-------------------------!
p = nO
do p=nO,nO
if (TDA_W) then
if (TDA_W) then
! TDA for W
write(*,*) 'Tamm-Dancoff approximation actived!'
write(*,*)
!---------------------------!
! Compute GW supermatrix !
!---------------------------!
! !
! | F V2h1p V2p1h | !
! | | !
! H = | V2h1p C2h1p 0 | !
! | | !
! | V2p1h 0 C2p1h | !
! !
!---------------------------!
call wall_time(start_timing)
! TDA for W
write(*,*) 'Tamm-Dancoff approximation actived!'
write(*,*)
!---------------------------!
! Compute GW supermatrix !
!---------------------------!
! !
! | F V2h1p V2p1h | !
! | | !
! H = | V2h1p C2h1p 0 | !
! | | !
! | V2p1h 0 C2p1h | !
! !
!---------------------------!
!---------!
! Block F !
!---------!
H(1,1) = eHF(p)
!-------------!
! Block V2h1p !
!-------------!
ija = 0
do i=nC+1,nO
do j=nC+1,nO
do a=nO+1,nBas-nR
ija = ija + 1
H(1 ,1+ija) = sqrt(2d0)*ERI(p,a,i,j)
H(1+ija,1 ) = sqrt(2d0)*ERI(p,a,i,j)
!---------!
! Block F !
!---------!
H(1,1) = eHF(p)
!-------------!
! Block V2h1p !
!-------------!
ija = 0
do i=nC+1,nO
do j=nC+1,nO
do a=nO+1,nBas-nR
ija = ija + 1
H(1 ,1+ija) = sqrt(2d0)*ERI(p,a,i,j)
H(1+ija,1 ) = sqrt(2d0)*ERI(p,a,i,j)
end do
end do
end do
end do
!-------------!
! Block V2p1h !
!-------------!
iab = 0
do i=nC+1,nO
do a=nO+1,nBas-nR
do b=nO+1,nBas-nR
iab = iab + 1
H(1 ,1+n2h1p+iab) = sqrt(2d0)*ERI(p,i,b,a)
H(1+n2h1p+iab,1 ) = sqrt(2d0)*ERI(p,i,b,a)
!-------------!
! Block V2p1h !
!-------------!
iab = 0
do i=nC+1,nO
do a=nO+1,nBas-nR
do b=nO+1,nBas-nR
iab = iab + 1
H(1 ,1+n2h1p+iab) = sqrt(2d0)*ERI(p,i,b,a)
H(1+n2h1p+iab,1 ) = sqrt(2d0)*ERI(p,i,b,a)
end do
end do
end do
end do
!-------------!
! Block C2h1p !
!-------------!
ija = 0
do i=nC+1,nO
do j=nC+1,nO
do a=nO+1,nBas-nR
ija = ija + 1
klc = 0
do k=nC+1,nO
do l=nC+1,nO
do c=nO+1,nBas-nR
klc = klc + 1
H(1+ija,1+klc) &
= ((eHF(i) + eHF(j) - eHF(a))*Kronecker_delta(j,l)*Kronecker_delta(a,c) &
- 2d0*ERI(j,c,a,l))*Kronecker_delta(i,k)
!-------------!
! Block C2h1p !
!-------------!
ija = 0
do i=nC+1,nO
do j=nC+1,nO
do a=nO+1,nBas-nR
ija = ija + 1
klc = 0
do k=nC+1,nO
do l=nC+1,nO
do c=nO+1,nBas-nR
klc = klc + 1
H(1+ija,1+klc) &
= ((eHF(i) + eHF(j) - eHF(a))*Kronecker_delta(j,l)*Kronecker_delta(a,c) &
- 2d0*ERI(j,c,a,l))*Kronecker_delta(i,k)
end do
end do
end do
end do
end do
end do
end do
!-------------!
! Block C2p1h !
!-------------!
iab = 0
do i=nC+1,nO
do a=nO+1,nBas-nR
do b=nO+1,nBas-nR
iab = iab + 1
kcd = 0
do k=nC+1,nO
do c=nO+1,nBas-nR
do d=nO+1,nBas-nR
kcd = kcd + 1
H(1+n2h1p+iab,1+n2h1p+kcd) &
= ((eHF(a) + eHF(b) - eHF(i))*Kronecker_delta(i,k)*Kronecker_delta(a,c) &
+ 2d0*ERI(a,k,i,c))*Kronecker_delta(b,d)
end do
end do
end do
end do
end do
end do
call wall_time(end_timing)
timing = end_timing - start_timing
write(*,*)
write(*,'(A65,1X,F9.3,A8)') 'Total wall time for construction of supermatrix = ',timing,' seconds'
write(*,*)
!-------------!
! Block C2p1h !
!-------------!
iab = 0
do i=nC+1,nO
do a=nO+1,nBas-nR
else
! RPA for W
write(*,*) 'Tamm-Dancoff approximation deactivated!'
write(*,*)
!---------------------------!
! Compute GW supermatrix !
!---------------------------!
! !
! | F W2h1p W2p1h | !
! | | !
! H = | W2h1p D2h1p 0 | !
! | | !
! | W2p1h 0 D2p1h | !
! !
!---------------------------!
! Memory allocation
allocate(Om(nS),Aph(nS,nS),Bph(nS,nS),XpY(nS,nS),XmY(nS,nS),rho(nBas,nBas,nS))
! Spin manifold
ispin = 1
!-------------------!
! Compute screening !
!-------------------!
call phLR_A(ispin,dRPA,nBas,nC,nO,nV,nR,nS,1d0,eHF,ERI,Aph)
if(.not.TDA_W) call phLR_B(ispin,dRPA,nBas,nC,nO,nV,nR,nS,1d0,ERI,Bph)
call phLR(TDA_W,nS,Aph,Bph,EcRPA,Om,XpY,XmY)
!--------------------------!
! Compute spectral weights !
!--------------------------!
call GW_excitation_density(nBas,nC,nO,nR,nS,ERI,XpY,rho)
call wall_time(start_timing)
!---------!
! Block F !
!---------!
H(1,1) = eHF(p)
!-------------!
! Block D2h1p !
!-------------!
ija = 0
do i=nC+1,nO
do ja=1,nS
ija = ija + 1
H(1+ija,1+ija) = eHF(i) - Om(ja)
end do
end do
!-------------!
! Block W2h1p !
!-------------!
ija = 0
do i=nC+1,nO
do ja=1,nS
ija = ija + 1
H(1 ,1+ija) = sqrt(2d0)*rho(p,i,ja)
H(1+ija,1 ) = sqrt(2d0)*rho(p,i,ja)
end do
end do
!-------------!
! Block D2p1h !
!-------------!
iab = 0
do ia=1,nS
do b=nO+1,nBas-nR
iab = iab + 1
kcd = 0
do k=nC+1,nO
do c=nO+1,nBas-nR
do d=nO+1,nBas-nR
kcd = kcd + 1
H(1+n2h1p+iab,1+n2h1p+kcd) &
= ((eHF(a) + eHF(b) - eHF(i))*Kronecker_delta(i,k)*Kronecker_delta(a,c) &
+ 2d0*ERI(a,k,i,c))*Kronecker_delta(b,d)
end do
end do
end do
H(1+n2h1p+iab,1+n2h1p+iab) = eHF(b) + Om(ia)
end do
end do
end do
else
!-------------!
! Block W2p1h !
!-------------!
iab = 0
do ia=1,nS
do b=nO+1,nBas-nR
iab = iab + 1
H(1 ,1+n2h1p+iab) = sqrt(2d0)*rho(p,b,ia)
H(1+n2h1p+iab,1 ) = sqrt(2d0)*rho(p,b,ia)
end do
end do
call wall_time(end_timing)
timing = end_timing - start_timing
write(*,*)
write(*,'(A65,1X,F9.3,A8)') 'Total wall time for construction of supermatrix = ',timing,' seconds'
write(*,*)
end if
!-------------------------!
! Diagonalize supermatrix !
!-------------------------!
call wall_time(start_timing)
! RPA for W
H(:,:) = H(:,:)
call diagonalize_matrix(nH,H,eGW)
call wall_time(end_timing)
write(*,*) 'Tamm-Dancoff approximation deactivated!'
timing = end_timing - start_timing
write(*,*)
write(*,'(A65,1X,F9.3,A8)') 'Total wall time for diagonalization of supermatrix = ',timing,' seconds'
write(*,*)
!---------------------------!
! Compute GW supermatrix !
!---------------------------!
! !
! | F W2h1p W2p1h | !
! | | !
! H = | W2h1p D2h1p 0 | !
! | | !
! | W2p1h 0 D2p1h | !
! !
!---------------------------!
! Memory allocation
allocate(Om(nS),Aph(nS,nS),Bph(nS,nS),XpY(nS,nS),XmY(nS,nS),rho(nBas,nBas,nS))
! Spin manifold
ispin = 1
!-------------------!
! Compute screening !
!-------------------!
call phLR_A(ispin,dRPA,nBas,nC,nO,nV,nR,nS,1d0,eHF,ERI,Aph)
if(.not.TDA_W) call phLR_B(ispin,dRPA,nBas,nC,nO,nV,nR,nS,1d0,ERI,Bph)
call phLR(TDA_W,nS,Aph,Bph,EcRPA,Om,XpY,XmY)
!--------------------------!
! Compute spectral weights !
!--------------------------!
call GW_excitation_density(nBas,nC,nO,nR,nS,ERI,XpY,rho)
!---------!
! Block F !
!---------!
H(1,1) = eHF(p)
!-------------!
! Block D2h1p !
!-------------!
ija = 0
do i=nC+1,nO
do ja=1,nS
ija = ija + 1
H(1+ija,1+ija) = eHF(i) - Om(ja)
!-----------------!
! Compute weights !
!-----------------!
do s=1,nH
Z(s) = H(1,s)**2
end do
end do
!-------------!
! Block W2h1p !
!-------------!
ija = 0
do i=nC+1,nO
do ja=1,nS
ija = ija + 1
H(1 ,1+ija) = sqrt(2d0)*rho(p,i,ja)
H(1+ija,1 ) = sqrt(2d0)*rho(p,i,ja)
end do
end do
!-------------!
! Block D2p1h !
!-------------!
iab = 0
do ia=1,nS
do b=nO+1,nBas-nR
iab = iab + 1
H(1+n2h1p+iab,1+n2h1p+iab) = eHF(b) + Om(ia)
end do
end do
!-------------!
! Block W2p1h !
!-------------!
iab = 0
do ia=1,nS
do b=nO+1,nBas-nR
iab = iab + 1
H(1 ,1+n2h1p+iab) = sqrt(2d0)*rho(p,b,ia)
H(1+n2h1p+iab,1 ) = sqrt(2d0)*rho(p,b,ia)
end do
end do
end if
!--------------!
! Dump results !
!--------------!
write(*,*)'-------------------------------------------'
write(*,'(1X,A32,I3,A8)')'| G0W0 energies (eV) for orbital',p,' |'
write(*,*)'-------------------------------------------'
write(*,'(1X,A1,1X,A3,1X,A1,1X,A15,1X,A1,1X,A15,1X,A1,1X,A15,1X)') &
'|','#','|','e_QP','|','Z','|'
write(*,*)'-------------------------------------------'
!-------------------------!
! Diagonalize supermatrix !
!-------------------------!
H(:,:) = H(:,:)
call diagonalize_matrix(nH,H,eGW)
!-----------------!
! Compute weights !
!-----------------!
do s=1,nH
Z(s) = H(1,s)**2
end do
!--------------!
! Dump results !
!--------------!
write(*,*)'-------------------------------------------'
write(*,'(1X,A32,I3,A8)')'| G0W0 energies (eV) for orbital',p,' |'
write(*,*)'-------------------------------------------'
write(*,'(1X,A1,1X,A3,1X,A1,1X,A15,1X,A1,1X,A15,1X,A1,1X,A15,1X)') &
'|','#','|','e_QP','|','Z','|'
write(*,*)'-------------------------------------------'
do s=1,nH
if(Z(s) > cutoff1) then
write(*,'(1X,A1,1X,I3,1X,A1,1X,F15.6,1X,A1,1X,F15.6,1X,A1,1X)') &
'|',s,'|',eGW(s)*HaToeV,'|',Z(s),'|'
end if
end do
write(*,*)'-------------------------------------------'
write(*,*)
if(verbose) then
do s=1,nH
if(Z(s) > cutoff1) then
write(*,*)'-------------------------------------------------------------'
write(*,'(1X,A7,1X,I3,A6,I3,A1,1X,A7,F12.6,A13,F6.4,1X)') &
'Orbital',p,' and #',s,':','e_QP = ',eGW(s)*HaToeV,' eV and Z = ',Z(s)
write(*,*)'-------------------------------------------------------------'
write(*,'(1X,A20,1X,A20,1X,A15,1X)') &
' Configuration ',' Coefficient ',' Weight '
write(*,*)'-------------------------------------------------------------'
if(p <= nO) &
write(*,'(1X,A7,I3,A16,1X,F15.6,1X,F15.6)') &
' (',p,') ',H(1,s),H(1,s)**2
if(p > nO) &
write(*,'(1X,A16,I3,A7,1X,F15.6,1X,F15.6)') &
' (',p,') ',H(1,s),H(1,s)**2
write(*,'(1X,A1,1X,I3,1X,A1,1X,F15.6,1X,A1,1X,F15.6,1X,A1,1X)') &
'|',s,'|',eGW(s)*HaToeV,'|',Z(s),'|'
end if
end do
if(TDA_W) then
! TDA printing format
ija = 0
do i=nC+1,nO
do j=nC+1,nO
do a=nO+1,nBas-nR
ija = ija + 1
write(*,*)'-------------------------------------------'
write(*,*)
if(abs(H(1+ija,s)) > cutoff2) &
write(*,'(1X,A3,I3,A1,I3,A6,I3,A7,1X,F15.6,1X,F15.6)') &
' (',i,',',j,') -> (',a,') ',H(1+ija,s),H(1+ija,s)**2
if(verbose) then
do s=1,nH
if(Z(s) > cutoff1) then
write(*,*)'-------------------------------------------------------------'
write(*,'(1X,A7,1X,I3,A6,I3,A1,1X,A7,F12.6,A13,F6.4,1X)') &
'Orbital',p,' and #',s,':','e_QP = ',eGW(s)*HaToeV,' eV and Z = ',Z(s)
write(*,*)'-------------------------------------------------------------'
write(*,'(1X,A20,1X,A20,1X,A15,1X)') &
' Configuration ',' Coefficient ',' Weight '
write(*,*)'-------------------------------------------------------------'
if(p <= nO) &
write(*,'(1X,A7,I3,A16,1X,F15.6,1X,F15.6)') &
' (',p,') ',H(1,s),H(1,s)**2
if(p > nO) &
write(*,'(1X,A16,I3,A7,1X,F15.6,1X,F15.6)') &
' (',p,') ',H(1,s),H(1,s)**2
if(TDA_W) then
! TDA printing format
ija = 0
do i=nC+1,nO
do j=nC+1,nO
do a=nO+1,nBas-nR
ija = ija + 1
if(abs(H(1+ija,s)) > cutoff2) &
write(*,'(1X,A3,I3,A1,I3,A6,I3,A7,1X,F15.6,1X,F15.6)') &
' (',i,',',j,') -> (',a,') ',H(1+ija,s),H(1+ija,s)**2
end do
end do
end do
end do
iab = 0
do i=nC+1,nO
do a=nO+1,nBas-nR
iab = 0
do i=nC+1,nO
do a=nO+1,nBas-nR
do b=nO+1,nBas-nR
iab = iab + 1
if(abs(H(1+n2h1p+iab,s)) > cutoff2) &
write(*,'(1X,A7,I3,A6,I3,A1,I3,A3,1X,F15.6,1X,F15.6)') &
' (',i,') -> (',a,',',b,') ',H(1+n2h1p+iab,s),H(1+n2h1p+iab,s)**2
end do
end do
end do
else
! non-TDA printing format
ija = 0
do i=nC+1,nO
do ja=nC+1,nO
ija = ija + 1
if(abs(H(1+ija,s)) > cutoff2) &
write(*,'(1X,A7,I3,A1,I3,A12,1X,F15.6,1X,F15.6)') &
' (',i,',',ja,') ',H(1+ija,s),H(1+ija,s)**2
end do
end do
iab = 0
do ia=1,nS
do b=nO+1,nBas-nR
iab = iab + 1
if(abs(H(1+n2h1p+iab,s)) > cutoff2) &
write(*,'(1X,A7,I3,A6,I3,A1,I3,A3,1X,F15.6,1X,F15.6)') &
' (',i,') -> (',a,',',b,') ',H(1+n2h1p+iab,s),H(1+n2h1p+iab,s)**2
if(abs(H(1+n2h1p+iab,s)) > cutoff2) &
write(*,'(1X,A7,I3,A1,I3,A12,1X,F15.6,1X,F15.6)') &
' (',ia,',',b,') ',H(1+n2h1p+iab,s),H(1+n2h1p+iab,s)**2
end do
end do
end do
else
! non-TDA printing format
ija = 0
do i=nC+1,nO
do ja=nC+1,nO
ija = ija + 1
end if
write(*,*)'-------------------------------------------------------------'
write(*,*)
if(abs(H(1+ija,s)) > cutoff2) &
write(*,'(1X,A7,I3,A1,I3,A12,1X,F15.6,1X,F15.6)') &
' (',i,',',ja,') ',H(1+ija,s),H(1+ija,s)**2
end do
end do
iab = 0
do ia=1,nS
do b=nO+1,nBas-nR
iab = iab + 1
if(abs(H(1+n2h1p+iab,s)) > cutoff2) &
write(*,'(1X,A7,I3,A1,I3,A12,1X,F15.6,1X,F15.6)') &
' (',ia,',',b,') ',H(1+n2h1p+iab,s),H(1+n2h1p+iab,s)**2
end do
end do
end if
end do
end if
write(*,*)'-------------------------------------------------------------'
write(*,*)
end if
end do
end if
end do
end subroutine