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| 1 | +subroutine CVS_UGW_phBSE(exchange_kernel,TDA_W,TDA,dBSE,dTDA,spin_conserved,spin_flip,eta,nBas,nC,nO,nV,nR,nS, & |
| 2 | + nCVS,nFC,occupations,virtuals,S,ERI_aaaa,ERI_aabb,ERI_bbbb,dipole_int_aa,dipole_int_bb,cW,eW,eGW,EcBSE) |
| 3 | + |
| 4 | +! Compute the Bethe-Salpeter excitation energies |
| 5 | + |
| 6 | + implicit none |
| 7 | + include 'parameters.h' |
| 8 | + |
| 9 | +! Input variables |
| 10 | + |
| 11 | + logical,intent(in) :: exchange_kernel |
| 12 | + logical,intent(in) :: TDA_W |
| 13 | + logical,intent(in) :: TDA |
| 14 | + logical,intent(in) :: dBSE |
| 15 | + logical,intent(in) :: dTDA |
| 16 | + logical,intent(in) :: spin_conserved |
| 17 | + logical,intent(in) :: spin_flip |
| 18 | + |
| 19 | + double precision,intent(in) :: eta |
| 20 | + integer,intent(in) :: nBas |
| 21 | + integer,intent(in) :: nC(nspin) |
| 22 | + integer,intent(in) :: nO(nspin) |
| 23 | + integer,intent(in) :: nV(nspin) |
| 24 | + integer,intent(in) :: nR(nspin) |
| 25 | + integer,intent(in) :: nS(nspin) |
| 26 | + integer,intent(in) :: nCVS(nspin) |
| 27 | + integer,intent(in) :: nFC(nspin) |
| 28 | + integer,intent(in) :: occupations(maxval(nO-nFC),nspin) |
| 29 | + integer,intent(in) :: virtuals(nBas-minval(nO),nspin) |
| 30 | + double precision,intent(in) :: S(nBas,nBas) |
| 31 | + double precision,intent(in) :: cW(nBas,nBas,nspin) |
| 32 | + double precision,intent(in) :: eW(nBas,nspin) |
| 33 | + double precision,intent(in) :: eGW(nBas,nspin) |
| 34 | + double precision,intent(in) :: ERI_aaaa(nBas,nBas,nBas,nBas) |
| 35 | + double precision,intent(in) :: ERI_aabb(nBas,nBas,nBas,nBas) |
| 36 | + double precision,intent(in) :: ERI_bbbb(nBas,nBas,nBas,nBas) |
| 37 | + double precision,intent(in) :: dipole_int_aa(nBas,nBas,ncart) |
| 38 | + double precision,intent(in) :: dipole_int_bb(nBas,nBas,ncart) |
| 39 | + |
| 40 | +! Local variables |
| 41 | + |
| 42 | + integer :: ispin |
| 43 | + integer :: isp_W |
| 44 | + logical :: dRPA = .false. |
| 45 | + logical :: dRPA_W = .true. |
| 46 | + |
| 47 | + double precision,allocatable :: Aph(:,:) |
| 48 | + double precision,allocatable :: Bph(:,:) |
| 49 | + double precision,allocatable :: KA(:,:) |
| 50 | + double precision,allocatable :: KB(:,:) |
| 51 | + |
| 52 | + double precision :: EcRPA |
| 53 | + double precision,allocatable :: OmRPA(:) |
| 54 | + double precision,allocatable :: XpY_RPA(:,:) |
| 55 | + double precision,allocatable :: XmY_RPA(:,:) |
| 56 | + double precision,allocatable :: rho_RPA(:,:,:,:) |
| 57 | + |
| 58 | + integer :: nS_aa,nS_bb,nS_sc |
| 59 | + integer :: nS_ab,nS_ba,nS_sf |
| 60 | + double precision,allocatable :: OmBSE(:) |
| 61 | + double precision,allocatable :: XpY_BSE(:,:) |
| 62 | + double precision,allocatable :: XmY_BSE(:,:) |
| 63 | + |
| 64 | +! Output variables |
| 65 | + |
| 66 | + double precision,intent(out) :: EcBSE(nspin) |
| 67 | + |
| 68 | +! Memory allocation |
| 69 | + |
| 70 | + nS_aa = (nO(1) - nFC(1))*(nV(1)-nCVS(1)) |
| 71 | + nS_bb = (nO(2) - nFC(2))*(nV(2)-nCVS(2)) |
| 72 | + nS_sc = nS_aa + nS_bb |
| 73 | + |
| 74 | + nS_ab = (nO(1) - nFC(1))*(nV(2) - nCVS(2)) |
| 75 | + nS_ba = (nO(2) - nFC(2))*(nV(1) - nCVS(1)) |
| 76 | + nS_sf = nS_ab + nS_ba |
| 77 | + |
| 78 | +! TDA |
| 79 | + |
| 80 | + if(TDA) then |
| 81 | + write(*,*) 'Tamm-Dancoff approximation activated in phBSE!' |
| 82 | + write(*,*) |
| 83 | + end if |
| 84 | + |
| 85 | +! Initialization |
| 86 | + |
| 87 | + EcBSE(:) = 0d0 |
| 88 | + |
| 89 | +!--------------------------! |
| 90 | +! Spin-conserved screening ! |
| 91 | +!--------------------------! |
| 92 | + |
| 93 | + isp_W = 1 |
| 94 | + |
| 95 | + ! Compute spin-conserved RPA screening |
| 96 | + |
| 97 | + allocate(Aph(nS_sc,nS_sc),Bph(nS_sc,nS_sc)) |
| 98 | + allocate(OmRPA(nS_sc),XpY_RPA(nS_sc,nS_sc),XmY_RPA(nS_sc,nS_sc),rho_RPA(nBas,nBas,nS_sc,nspin)) |
| 99 | + |
| 100 | + call CVS_phULR_A(isp_W,dRPA_W,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,nCVS,nFC,occupations,virtuals, & |
| 101 | + 1d0,eW,ERI_aaaa,ERI_aabb,ERI_bbbb,Aph) |
| 102 | + if(.not.TDA_W) call CVS_phULR_B(isp_W,dRPA_W,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,nCVS,nFC,occupations,virtuals, & |
| 103 | + 1d0,ERI_aaaa,ERI_aabb,ERI_bbbb,Bph) |
| 104 | + call CVS_phULR(TDA_W,nS_aa,nS_bb,nS_sc,Aph,Bph,EcRPA,OmRPA,XpY_RPA,XmY_RPA) |
| 105 | + call CVS_UGW_excitation_density(nBas,nC,nO,nR,nS_aa,nS_bb,nS_sc,nCVS,nFC,occupations,virtuals, & |
| 106 | + ERI_aaaa,ERI_aabb,ERI_bbbb,XpY_RPA,rho_RPA) |
| 107 | + |
| 108 | + deallocate(Aph,Bph) |
| 109 | + |
| 110 | +!----------------------------! |
| 111 | +! Spin-conserved excitations ! |
| 112 | +!----------------------------! |
| 113 | + |
| 114 | + if(spin_conserved) then |
| 115 | + |
| 116 | + ispin = 1 |
| 117 | + |
| 118 | + allocate(Aph(nS_sc,nS_sc),Bph(nS_sc,nS_sc),KA(nS_sc,nS_sc),KB(nS_sc,nS_sc)) |
| 119 | + allocate(OmBSE(nS_sc),XpY_BSE(nS_sc,nS_sc),XmY_BSE(nS_sc,nS_sc)) |
| 120 | + |
| 121 | + ! Compute spin-conserved BSE excitation energies |
| 122 | + |
| 123 | + call CVS_phULR_A(ispin,dRPA,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,nCVS,nFC,occupations,virtuals, & |
| 124 | + 1d0,eGW,ERI_aaaa,ERI_aabb,ERI_bbbb,Aph) |
| 125 | + if(.not.TDA) call CVS_phULR_B(ispin,dRPA,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,nCVS,nFC,occupations,virtuals, & |
| 126 | + 1d0,ERI_aaaa,ERI_aabb,ERI_bbbb,Bph) |
| 127 | + |
| 128 | + call CVS_UGW_phBSE_static_kernel_A(ispin,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,nS_sc, & |
| 129 | + nCVS,nFC,occupations,virtuals, & |
| 130 | + 1d0,OmRPA,rho_RPA,KA) |
| 131 | + if(.not.TDA) call CVS_UGW_phBSE_static_kernel_B(ispin,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,nS_sc, & |
| 132 | + nCVS,nFC,occupations,virtuals, & |
| 133 | + 1d0,OmRPA,rho_RPA,KB) |
| 134 | + |
| 135 | + Aph(:,:) = Aph(:,:) + KA(:,:) |
| 136 | + if(.not.TDA) Bph(:,:) = Bph(:,:) + KB(:,:) |
| 137 | + |
| 138 | + call CVS_phULR(TDA,nS_aa,nS_bb,nS_sc,Aph,Bph,EcBSE(ispin),OmBSE,XpY_BSE,XmY_BSE) |
| 139 | + |
| 140 | + call print_excitation_energies('phBSE@GW@UHF','spin-conserved',nS_sc,OmBSE) |
| 141 | + call CVS_phULR_transition_vectors(ispin,nBas,nC,nO,nV,nR,nS,nS_aa,nS_bb,nS_sc,nCVS,nFC,occupations,virtuals, & |
| 142 | + dipole_int_aa,dipole_int_bb, & |
| 143 | + cW,S,OmBSE,XpY_BSE,XmY_BSE) |
| 144 | + |
| 145 | + ! !------------------------------------------------- |
| 146 | + ! ! Compute the dynamical screening at the BSE level |
| 147 | + ! !------------------------------------------------- |
| 148 | + |
| 149 | + ! if(dBSE) & |
| 150 | + ! call UGW_phBSE_dynamic_perturbation(ispin,dTDA,eta,nBas,nC,nO,nV,nR,nS,nS_aa,nS_bb,nS_sc,nS_sc, & |
| 151 | + ! eW,eGW,ERI_aaaa,ERI_aabb,ERI_bbbb,dipole_int_aa,dipole_int_bb, & |
| 152 | + ! OmRPA,rho_RPA,OmBSE,XpY_BSE,XmY_BSE) |
| 153 | + |
| 154 | + deallocate(Aph,Bph,KA,KB) |
| 155 | + deallocate(OmBSE,XpY_BSE,XmY_BSE) |
| 156 | + |
| 157 | + end if |
| 158 | + |
| 159 | +!-----------------------! |
| 160 | +! Spin-flip excitations ! |
| 161 | +!-----------------------! |
| 162 | + |
| 163 | + if(spin_flip) then |
| 164 | + |
| 165 | + ispin = 2 |
| 166 | + |
| 167 | + allocate(Aph(nS_sf,nS_sf),Bph(nS_sf,nS_sf),KA(nS_sf,nS_sf),KB(nS_sf,nS_sf)) |
| 168 | + allocate(OmBSE(nS_sf),XpY_BSE(nS_sf,nS_sf),XmY_BSE(nS_sf,nS_sf)) |
| 169 | + |
| 170 | + ! Compute spin-conserved BSE excitation energies |
| 171 | + |
| 172 | + call CVS_phULR_A(ispin,dRPA,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sf,nCVS,nFC,occupations,virtuals, & |
| 173 | + 1d0,eGW,ERI_aaaa,ERI_aabb,ERI_bbbb,Aph) |
| 174 | + if(.not.TDA) call CVS_phULR_B(ispin,dRPA,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sf,nCVS,nFC,occupations,virtuals, & |
| 175 | + 1d0,ERI_aaaa,ERI_aabb,ERI_bbbb,Bph) |
| 176 | + |
| 177 | + call CVS_UGW_phBSE_static_kernel_A(ispin,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,nS_sf, & |
| 178 | + nCVS,nFC,occupations,virtuals, & |
| 179 | + 1d0,OmRPA,rho_RPA,KA) |
| 180 | + if(.not.TDA) call CVS_UGW_phBSE_static_kernel_B(ispin,eta,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,nS_sf, & |
| 181 | + nCVS,nFC,occupations,virtuals, & |
| 182 | + 1d0,OmRPA,rho_RPA,KB) |
| 183 | + |
| 184 | + Aph(:,:) = Aph(:,:) + KA(:,:) |
| 185 | + if(.not.TDA) Bph(:,:) = Bph(:,:) + KB(:,:) |
| 186 | + |
| 187 | + call CVS_phULR(TDA,nS_aa,nS_bb,nS_sc,Aph,Bph,EcBSE(ispin),OmBSE,XpY_BSE,XmY_BSE) |
| 188 | + |
| 189 | + call print_excitation_energies('phBSE@GW@UHF','spin-flip',nS_sf,OmBSE) |
| 190 | + call CVS_phULR_transition_vectors(ispin,nBas,nC,nO,nV,nR,nS,nS_ab,nS_ba,nS_sf,nCVS,nFC,occupations,virtuals,& |
| 191 | + dipole_int_aa,dipole_int_bb, & |
| 192 | + cW,S,OmBSE,XpY_BSE,XmY_BSE) |
| 193 | + |
| 194 | + ! !------------------------------------------------- |
| 195 | + ! ! Compute the dynamical screening at the BSE level |
| 196 | + ! !------------------------------------------------- |
| 197 | + |
| 198 | + ! if(dBSE) & |
| 199 | + ! call UGW_phBSE_dynamic_perturbation(ispin,dTDA,eta,nBas,nC,nO,nV,nR,nS,nS_ab,nS_ba,nS_sf,nS_sc, & |
| 200 | + ! eW,eGW,ERI_aaaa,ERI_aabb,ERI_bbbb,dipole_int_aa,dipole_int_bb, & |
| 201 | + ! OmRPA,rho_RPA,OmBSE,XpY_BSE,XmY_BSE) |
| 202 | + |
| 203 | + deallocate(Aph,Bph,KA,KB) |
| 204 | + deallocate(OmBSE,XpY_BSE,XmY_BSE) |
| 205 | + |
| 206 | + end if |
| 207 | + |
| 208 | +! Scale properly correlation energy if exchange is included in interaction kernel |
| 209 | + |
| 210 | + if(exchange_kernel) then |
| 211 | + |
| 212 | + EcBSE(:) = 0.5d0*EcBSE(:) |
| 213 | + |
| 214 | + else |
| 215 | + |
| 216 | + EcBSE(2) = 0.0d0 |
| 217 | + |
| 218 | + end if |
| 219 | + |
| 220 | +end subroutine |
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