Wigner/3D_eta0_hcp.f90

80 lines
1.8 KiB
Fortran

program hcp
implicit none
integer(kind=8) :: nside,nsitexz,nsitey,nelec
integer(kind=8) :: ix,iy,iz,i
real*16 :: factorxz,factory,factor,bbfac,pi
real*16 :: uee,ubb,eta0,aux
real*16 :: start,finish
real*16,allocatable :: sin2xz(:),sin2y(:)
open(unit=10,file='input')
read(10,*) nside
close(10)
call cpu_time(start)
nsitexz = 2*nside
nsitey = 6*nside
nelec = nside**3*4
bbfac = 0.54063377545280790285q0
pi = acos(-1q0)
write(6,*) "total number of electrons",nelec
allocate(sin2xz(nsitexz))
allocate(sin2y(nsitey))
factorxz=acos(-1q0)/nsitexz
factory=acos(-1q0)/nsitey
do i = 0, nsitexz-1
sin2xz(i+1) = (sin(factorxz*i))**2
enddo
do i = 0, nsitey-1
sin2y(i+1) = (sin(factory*i))**2
enddo
uee = 0q0
do ix = 0, nsitexz-1
do iy = 0, nsitey-1
do iz = 0, nsitexz-1
if (ix+iy+iz==0) cycle
aux = sqrt(sin2xz(ix+1)+3q0*sin2y(iy+1)+8q0/3q0*sin2xz(iz+1))
if (mod(ix,2)==0.and.mod(iz,2)==0.and.mod(iy,6)==0) then
uee = uee + 1q0/aux
! print*,'testje1',ix,iy,iz,aux
endif
if (mod(ix,2)==1.and.mod(iz,2)==0.and.mod(iy+3,6)==0) then
uee = uee + 1q0/aux
! print*,'testje2',ix,iy,iz,aux
endif
if (mod(ix,2)==0.and.mod(iz,2)==1.and.mod(iy+4,6)==0) then
uee = uee + 1q0/aux
! print*,'testje3',ix,iy,iz,aux
endif
if (mod(ix,2)==1.and.mod(iz,2)==1.and.mod(iy+1,6)==0) then
uee = uee + 1q0/aux
! print*,'testje4',ix,iy,iz,aux
endif
enddo
enddo
enddo
factor=(3q0*pi**(2q0)*sqrt(2q0))**(1q0/3q0)/(2q0*nsitexz)
uee=uee*factor
ubb = nelec*bbfac/nside
eta0 = uee - ubb
print*,'eta0 (in Ry and Ha) =', 2q0*eta0, eta0
deallocate(sin2xz,sin2y)
call cpu_time(finish)
print '("Time = ",f12.3," seconds.")',finish-start
end program hcp