gndstate.f90

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! Copyright (C) 2002-2013 J. K. Dewhurst, S. Sharma and C. Ambrosch-Draxl.
! This file is distributed under the terms of the GNU General Public License.
! See the file COPYING for license details.
 
!BOP
! !ROUTINE: gndstate
! !INTERFACE:
subroutine gndstate
! !USES:
use modmain
use moddftu
use modxcifc
use modulr
use modgw
use modmpi
use modomp
use modvars
use modramdisk
! !DESCRIPTION:
!   Computes the self-consistent Kohn-Sham ground-state. General information is
!   written to the file {\tt INFO.OUT}. First- and second-variational
!   eigenvalues, eigenvectors and occupation numbers are written to the
!   unformatted files {\tt EVALFV.OUT}, {\tt EVALSV.OUT}, {\tt EVECFV.OUT},
!   {\tt EVECSV.OUT} and {\tt OCCSV.OUT}. The density, magnetisation, Kohn-Sham
!   potential and magnetic field are written to {\tt STATE.OUT}.
!
! !REVISION HISTORY:
!   Created October 2002 (JKD)
!   Added MPI, August 2010 (JKD)
!EOP
!BOC
implicit none
! local variables
logical twrite
integer ik,iscl0,nmix,nwork
real(8) dv,etp,de,timetot
character(64) str
! allocatable arrays
real(8), allocatable :: work(:)
! initialise global variables
call init0
! initialise k- and G+k-vector-dependent variables
call init1
! initialise q-vector-dependent variables if required
if ((xctype(1) < 0).or.ksgwrho) call init2
! initialise GW variables if required
if (ksgwrho) call init3
wrtdsk0=wrtdsk
if (task == 0) trdstate=.false.
if (task == 1) trdstate=.true.
! only the MPI master process should write files
if (mp_mpi) then
! write the real and reciprocal lattice vectors to file
  call writelat
! write symmetry matrices to file
  call writesym
! output the k-point set to file
  call writekpts
! write lattice vectors and atomic positions to file
  open(50,file='GEOMETRY'//trim(filext),form='FORMATTED')
  call writegeom(50)
  close(50)
! write interatomic distances to file
  open(50,file='IADIST'//trim(filext),form='FORMATTED')
  call writeiad(50)
  close(50)
! open INFO.OUT file
  open(60,file='INFO'//trim(filext),form='FORMATTED')
! write out general information to INFO.OUT
  call writeinfo(60)
  write(60,*)
! open TOTENERGY.OUT
  open(61,file='TOTENERGY'//trim(filext),form='FORMATTED')
! open FERMIDOS.OUT
  open(62,file='FERMIDOS'//trim(filext),form='FORMATTED')
! open MOMENT.OUT if required
  if (spinpol) open(63,file='MOMENT'//trim(filext),form='FORMATTED')
! open GAP.OUT
  open(64,file='GAP'//trim(filext),form='FORMATTED')
! open RMSDVS.OUT
  open(65,file='RMSDVS'//trim(filext),form='FORMATTED')
! open DTOTENERGY.OUT
  open(66,file='DTOTENERGY'//trim(filext),form='FORMATTED')
! open MOMENTM.OUT
  if (spinpol) open(68,file='MOMENTM'//trim(filext),form='FORMATTED')
! open RESIDUAL.OUT
  if (xctype(1) < 0) open(69,file='RESIDUAL'//trim(filext),form='FORMATTED')
end if
iscl=0
if (trdstate) then
! read the Kohn-Sham potential and fields from file
  call readstate
  if (mp_mpi) then
    write(60,'("Potential read in from STATE.OUT")')
  end if
else
! initialise the density and magnetisation from atomic data
  call rhoinit
  if (spinpol) call maginit
! compute the Kohn-Sham potential and magnetic field
  call potks(.true.)
  if (mp_mpi) then
    write(60,'("Kohn-Sham potential initialised from atomic data")')
  end if
end if
if (mp_mpi) flush(60)
call genvsig
! size of mixing vector
nmix=size(vmixer)
! determine the size of the mixer work array
nwork=-1
call mixerifc(mixtype,nmix,vmixer,dv,nwork,vmixer)
allocate(work(nwork))
! initialise the mixer
iscl=0
call mixerifc(mixtype,nmix,vmixer,dv,nwork,work)
if (mixsave.and.trdstate) then
! read in starting loop and mixer work array from file if required
  call readmix(iscl0,nwork,work)
  iscl0=min(iscl0,mixsdb)
else
! default starting loop
  iscl0=1
end if
! set the stop signal to .false.
tstop=.false.
! set last self-consistent loop flag
tlast=.false.
etp=0.d0
! begin the self-consistent loop
if (mp_mpi) then
  call writebox(60,"Self-consistent loop started")
end if
do iscl=iscl0,maxscl
  if (mp_mpi) then
    write(str,'("Loop number : ",I0)') iscl
    call writebox(60,trim(str))
  end if
  if (iscl >= maxscl) then
    if (mp_mpi) then
      write(60,*)
      write(60,'("Reached self-consistent loops maximum")')
    end if
    if (maxscl > 1) then
      write(*,*)
      write(*,'("Warning(gndstate): failed to reach self-consistency after ", &
       &I4," loops")') iscl
    end if
    tlast=.true.
  end if
  if (mp_mpi) flush(60)
! always write the eigenvectors to disk on the last loop
  if (tlast) wrtdsk=.true.
! generate the core wavefunctions and densities
  call gencore
! find the new linearisation energies
  call linengy
! write out the linearisation energies
  if (mp_mpi) call writelinen
! generate the APW and local-orbital radial functions and integrals
  call genapwlofr
! generate the spin-orbit coupling radial functions
  call gensocfr
! generate the first- and second-variational eigenvectors and eigenvalues
  call genevfsv
! find the occupation numbers and Fermi energy
  call occupy
  if (mp_mpi) then
    if (autoswidth) then
      write(60,*)
      write(60,'("New smearing width : ",G18.10)') swidth
    end if
! write the occupation numbers to file
    do ik=1,nkpt
      call putoccsv(filext,ik,occsv(:,ik))
    end do
! write eigenvalues to file
    call writeeval
! write the Fermi energy to file
    call writefermi
  end if
! synchronise MPI processes
  call mpi_barrier(mpicom,ierror)
! generate the density and magnetisation
  if (ksgwrho) then
! density calculated from the GW approximation
    call gwrhomag
  else
! density calculated directly from the Kohn-Sham states
    call rhomag
  end if
! DFT+U or fixed tensor moment calculation
  if ((dftu /= 0).or.(ftmtype /= 0)) then
! generate the muffin-tin density matrix used for computing the potential matrix
    call gendmatmt
! write the FTM tensor moments to file
    if (ftmtype /= 0) call writeftm
! generate the DFT+U or FTM muffin-tin potential matrices
    call genvmatmt
  end if
  if (dftu /= 0) then
    if (mp_mpi) then
! write the DFT+U matrices to file
      call writedftu
! calculate and write tensor moments to file
      if (tmwrite) call writetm3
    end if
  end if
! compute the Kohn-Sham potential and magnetic field before potential mixing
  if (.not.mixrho) call potks(.true.)
! mix the old density/magnetisation or potential/field with the new
  call mixerifc(mixtype,nmix,vmixer,dv,nwork,work)
! compute the Kohn-Sham potential and magnetic field after density mixing
  if (mixrho) call potks(.true.)
! calculate and add the fixed spin moment effective field (after mixing)
  call bfieldfsm
  call addbfsm
! Fourier transform Kohn-Sham potential to G-space
  call genvsig
! reduce the external magnetic fields if required
  if (reducebf < 1.d0) then
    bfieldc(:)=bfieldc(:)*reducebf
    bfcmt(:,:,:)=bfcmt(:,:,:)*reducebf
  end if
! compute the paramagnetic current density and total current if required
  if (tjr.and.tlast) then
    call genjpr
    call genjtot
  end if
! compute the energy components
  call energy
  if (mp_mpi) then
! output energy components
    call writeengy(60)
    write(60,*)
    write(60,'("Density of states at Fermi energy : ",G18.10)') fermidos
    write(60,'(" (states/Hartree/unit cell)")')
    write(60,*)
    write(60,'("Estimated indirect band gap : ",G18.10)') bandgap(1)
    write(60,'(" from k-point ",I6," to k-point ",I6)') ikgap(1),ikgap(2)
    write(60,'("Estimated direct band gap   : ",G18.10)') bandgap(2)
    write(60,'(" at k-point ",I6)') ikgap(3)
! write total energy to TOTENERGY.OUT
    write(61,'(G24.14)') engytot
    flush(61)
! write DOS at Fermi energy to FERMIDOS.OUT
    write(62,'(G18.10)') fermidos
    flush(62)
! output charges and moments
    call writechg(60)
    if (spinpol) then
      call writemom(60)
! write total moment to MOMENT.OUT
      write(63,'(3G18.10)') momtot(1:ndmag)
      flush(63)
! write total moment magnitude to MOMENTM.OUT
      write(68,'(G18.10)') momtotm
      flush(68)
    end if
! write estimated Kohn-Sham indirect band gap
    write(64,'(G24.14)') bandgap(1)
    flush(64)
! output effective fields for fixed spin moment calculations
    if (fsmtype /= 0) call writefsm(60)
! write the average electric field in each muffin-tin
    if (tefield) call writeefield(60)
! write the Tran-Blaha functional constant
    if (xctype(2) == xc_mgga_x_tb09) then
      write(60,*)
      write(60,'("Tran-Blaha ''09 constant c : ",G18.10)') c_tb09
    end if
! check for existence of the WRITE file
    call checkwrite(twrite)
! check self-consistent loop number modulo nwrite
    if (nwrite >= 1) then
      if (mod(iscl,nwrite) == 0) twrite=.true.
    end if
! write STATE.OUT and mixer work array if required
    if (twrite) then
      call writestate
      write(60,*)
      write(60,'("Wrote STATE.OUT")')
      if (mixsave) call writemix(nwork,work)
    end if
! write OEP step size and residual
    if (xctype(1) < 0) then
      write(60,*)
      write(60,'("OEP iterative solver step size : ",G18.10)') tauoep
      write(60,'("Magnitude of OEP residual : ",G18.10)') resoep
      write(69,'(G18.10)') resoep
      flush(69)
    end if
  end if
! exit self-consistent loop if required
  if (tlast) goto 10
! check for convergence
  if (iscl >= iscl0+1) then
    de=abs(engytot-etp)
    if (mp_mpi) then
      write(60,*)
      write(60,'("RMS change in Kohn-Sham potential (target) : ",G18.10," (",&
       &G18.10,")")') dv,epspot
      write(65,'(G18.10)') dv
      flush(65)
      write(60,'("Absolute change in total energy (target)   : ",G18.10," (",&
       &G18.10,")")') de,epsengy
      write(66,'(G18.10)') de
      flush(66)
      if ((dv < epspot).and.(de < epsengy)) then
        write(60,*)
        write(60,'("Convergence targets achieved")')
        tlast=.true.
      end if
    end if
  end if
! average the current and previous total energies and store
  if (iscl == iscl0) etp=engytot
  etp=0.75d0*engytot+0.25d0*etp
! check for STOP file
  call checkstop
  if (tstop) tlast=.true.
! broadcast tlast from master process to all other processes
  call mpi_bcast(tlast,1,mpi_logical,0,mpicom,ierror)
! output the current total CPU time
  timetot=timeinit+timemat+timefv+timesv+timerho+timepot+timefor
  if (mp_mpi) then
    write(60,*)
    write(60,'("Time (CPU seconds) : ",F12.2)') timetot
  end if
! end the self-consistent loop
end do
10 continue
! synchronise MPI processes
call mpi_barrier(mpicom,ierror)
if (mp_mpi) then
  call writebox(60,"Self-consistent loop stopped")
! write STATE.OUT and mixer work array only if maxscl > 1
  if (maxscl > 1) then
    call writestate
    write(60,*)
    write(60,'("Wrote STATE.OUT")')
    if (mixsave) call writemix(nwork,work)
  end if
end if
! compute forces if required
if (tforce) then
  call force
! output forces to INFO.OUT
  if (mp_mpi) call writeforces(60)
end if
! output the paramagnetic current
if (tjr.and.mp_mpi) then
  write(60,*)
  write(60,'("Total paramagnetic current per unit cell")')
  write(60,'(3G18.10)') jtot
  write(60,'(" magnitude : ",G18.10)') jtotm
end if
! total time used
timetot=timeinit+timemat+timefv+timesv+timerho+timepot+timefor
if (mp_mpi) then
! output timing information
  write(60,*)
  write(60,'("Timings (CPU seconds) :")')
  write(60,'(" initialisation",T40,": ",F12.2)') timeinit
  write(60,'(" Hamiltonian and overlap matrix set up",T40,": ",F12.2)') timemat
  write(60,'(" first-variational eigenvalue equation",T40,": ",F12.2)') timefv
  if (tevecsv) then
    write(60,'(" second-variational calculation",T40,": ",F12.2)') timesv
  end if
  write(60,'(" charge density calculation",T40,": ",F12.2)') timerho
  write(60,'(" potential calculation",T40,": ",F12.2)') timepot
  if (tforce) then
    write(60,'(" force calculation",T40,": ",F12.2)') timefor
  end if
  write(60,'(" total",T40,": ",F12.2)') timetot
! close the INFO.OUT file
  close(60)
! close the TOTENERGY.OUT file
  close(61)
! close the FERMIDOS.OUT file
  close(62)
! close the MOMENT.OUT and MOMENTM.OUT files
  if (spinpol) then
    close(63); close(68)
  end if
! close the GAP.OUT file
  close(64)
! close the RMSDVS.OUT file
  close(65)
! close the DTOTENERGY.OUT file
  close(66)
! close the RESIDUAL.OUT file
  if (xctype(1) < 0) close(69)
! write to VARIABLES.OUT if required
  if (wrtvars) call writegsvars
end if
deallocate(work)
wrtdsk=wrtdsk0
! synchronise MPI processes
call mpi_barrier(mpicom,ierror)
end subroutine
!EOC