def calc_es(
mater, # make sure high symmetry points contain
ecut=800,
nbands=nbs,
vacuum=12):
mol = read(traj(mater))
mol.cell[-1][-1] = vacuum
mol.center()
calc = GPAW(mode=PW(ecut=ecut),
xc="PBE",
kpts=dict(gamma=True, size=(12, 12, 1)),
occupations=FermiDirac(0.01),
poissonsolver=dict(dipolelayer="xy"))
calc.atoms = mol
calc.get_potential_energy()
calc.write(gs_wfs(mater), mode="all")
# ES
calc = GPAW(restart=gs_wfs(mater),
fixdensity=True,
nbands=nbands,
kpts=dict(gamma=True, size=(12, 12, 1)),
convergence=dict(bands=-5),
parallel=dict(kpt=1))
calc.get_potential_energy()
calc.diagonalize_full_hamiltonian(nbands=nbands)
calc.write(es_wfs(mater), mode="all")
return True
def test_bs(self):
sb = StructureBuilder()
atoms, *_ = sb.get_structure("C", "diamond")
# print(atoms)
base_dir = os.path.join(os.path.dirname(__file__),
"../../tmp/C-class/")
m_calc = MaterCalc(atoms=atoms,
base_dir=base_dir)
self.assertTrue(m_calc.relax(fmax=0.002)) # Very tight limit!
self.assertTrue(m_calc.ground_state())
# get the PBE BS
lattice_type = get_cellinfo(m_calc.atoms.cell).lattice
self.assertTrue(lattice_type in special_paths.keys())
kpts_bs = dict(path=special_paths[lattice_type],
npoints=120)
# HSE06 base generate
gs_file = os.path.join(base_dir, "gs.gpw")
_calc = GPAW(restart=gs_file)
atoms = _calc.atoms.copy()
calc = GPAW(**_calc.parameters)
calc.set(kpts=dict(gamma=True,
density=4)) # low density calculations
calc.atoms = atoms
del _calc
calc.get_potential_energy()
calc.write(os.path.join(base_dir, "hse.gpw"), mode="all")
calc = GPAW(restart=os.path.join(base_dir, "hse.gpw"),
txt=None)
ns = calc.get_number_of_spins()
nk = len(calc.get_ibz_k_points())
nbands = calc.get_number_of_bands()
eigen_pbe = numpy.array([[calc.get_eigenvalues(spin=s,
kpt=k) \
for k in range(nk)]\
for s in range(ns)])
parprint("EIGEN_PBE", eigen_pbe.shape)
vxc_pbe = vxc(calc, "PBE")
parprint("VXC_PBE", vxc_pbe.shape)
# world.barrier()
# HSE06 now
calc_hse = EXX(os.path.join(base_dir, "hse.gpw"),
xc="HSE06",
bands=[0, nbands])
calc_hse.calculate()
vxc_hse = calc_hse.get_eigenvalue_contributions()
parprint(vxc_hse.shape)
parprint(vxc_hse)
eigen_hse = eigen_pbe - vxc_pbe + vxc_hse
# HSE bandgap from just kpts
bg_hse_min, *_ = bandgap(eigenvalues=eigen_hse,
efermi=calc.get_fermi_level(),
direct=False)
bg_hse_dir, *_ = bandgap(eigenvalues=eigen_hse,
efermi=calc.get_fermi_level(),
direct=True)
parprint("HSE: E_min \t E_dir")
parprint("{:.3f}\t{:.3f}".format(bg_hse_min, bg_hse_dir))
"""
def test_relax_single(self):
sb = StructureBuilder()
atoms, *_ = sb.get_structure("C", "diamond")
# print(atoms)
m_calc = MaterCalc(atoms=atoms, base_dir="../../tmp/C-class/")
m_calc.relax(fmax=0.002) # Very tight limit!
m_calc.ground_state()
# self.assertTrue(res)
base_dir = "../../tmp/C-class/"
gpw_name = os.path.join(base_dir, "gs.gpw")
self.assertTrue(os.path.exists(gpw_name))
calc = GPAW(restart=gpw_name, txt="gp.txt")
# PBE bandgap
bg_pbe_min, *_ = bandgap(calc, direct=False)
bg_pbe_dir, *_ = bandgap(calc, direct=True)
# gllbsc
calc_gllb = GPAW(**calc.parameters)
calc_gllb.atoms = calc.atoms
calc_gllb.set(xc="GLLBSC", txt="gllb.txt")
calc_gllb.get_potential_energy() # SC calculation
response = calc_gllb.hamiltonian.xc.xcs["RESPONSE"]
response.calculate_delta_xc()
EKs, Dxc = response.calculate_delta_xc_perturbation()
gllb_gap = EKs + Dxc
parprint("Eg-PBE-min, Eg-PBE-dir, Eg-gllb")
parprint(bg_pbe_min, bg_pbe_dir, gllb_gap)
# Use kpts?
ibz_kpts = calc.get_ibz_k_points()
e_kn = numpy.array([calc.get_eigenvalues(kpt=k) \
for k in range(len(ibz_kpts))])
efermi = calc.get_fermi_level()
e_kn[e_kn > efermi] += Dxc
gllb_gap_min = bandgap(eigenvalues=e_kn, efermi=efermi, direct=False)
gllb_gap_dir = bandgap(eigenvalues=e_kn, efermi=efermi, direct=True)
parprint("Efermi", efermi)
parprint("Eg-gllb-min, Eg-gllb-dir")
parprint(gllb_gap_min, gllb_gap_dir)
def calculate(self, optical=True, ac=1.0):
if self.spinors:
"""Calculate spinors. Here m is index of eigenvalues with SOC
and n is the basis of eigenstates withour SOC. Below m is used
for unoccupied states and n is used for occupied states so be
careful!"""
print('Diagonalizing spin-orbit Hamiltonian', file=self.fd)
param = self.calc.parameters
if not param['symmetry'] == 'off':
print('Calculating KS wavefunctions without symmetry ' +
'for spin-orbit', file=self.fd)
if not op.isfile('gs_nosym.gpw'):
calc_so = GPAW(**param)
calc_so.set(symmetry='off',
fixdensity=True,
txt='gs_nosym.txt')
calc_so.atoms = self.calc.atoms
calc_so.density = self.calc.density
calc_so.get_potential_energy()
calc_so.write('gs_nosym.gpw')
calc_so = GPAW('gs_nosym.gpw', txt=None,
communicator=serial_comm)
e_mk, v_knm = get_spinorbit_eigenvalues(calc_so,
return_wfs=True,
scale=self.scale)
del calc_so
else:
e_mk, v_knm = get_spinorbit_eigenvalues(self.calc,
return_wfs=True,
scale=self.scale)
e_mk /= Hartree
# Parallelization stuff
nK = self.kd.nbzkpts
myKrange, myKsize, mySsize = self.parallelisation_sizes()
# Calculate exchange interaction
qd0 = KPointDescriptor([self.q_c])
pd0 = PWDescriptor(self.ecut, self.calc.wfs.gd, complex, qd0)
ikq_k = self.kd.find_k_plus_q(self.q_c)
v_G = get_coulomb_kernel(pd0, self.kd.N_c, truncation=self.truncation,
wstc=self.wstc)
if optical:
v_G[0] = 0.0
self.pair = PairDensity(self.calc, self.ecut, world=serial_comm,
txt='pair.txt')
# Calculate direct (screened) interaction and PAW corrections
if self.mode == 'RPA':
Q_aGii = self.pair.initialize_paw_corrections(pd0)
else:
self.get_screened_potential(ac=ac)
if (self.qd.ibzk_kc - self.q_c < 1.0e-6).all():
iq0 = self.qd.bz2ibz_k[self.kd.where_is_q(self.q_c,
self.qd.bzk_kc)]
Q_aGii = self.Q_qaGii[iq0]
else:
Q_aGii = self.pair.initialize_paw_corrections(pd0)
# Calculate pair densities, eigenvalues and occupations
so = self.spinors + 1
Nv, Nc = so * self.nv, so * self.nc
Ns = self.spins
rhoex_KsmnG = np.zeros((nK, Ns, Nv, Nc, len(v_G)), complex)
# rhoG0_Ksmn = np.zeros((nK, Ns, Nv, Nc), complex)
df_Ksmn = np.zeros((nK, Ns, Nv, Nc), float) # -(ev - ec)
deps_ksmn = np.zeros((myKsize, Ns, Nv, Nc), float) # -(fv - fc)
if np.allclose(self.q_c, 0.0):
optical_limit = True
else:
optical_limit = False
get_pair = self.pair.get_kpoint_pair
get_rho = self.pair.get_pair_density
if self.spinors:
# Get all pair densities to allow for SOC mixing
# Use twice as many no-SOC states as BSE bands to allow mixing
vi_s = [2 * self.val_sn[0, 0] - self.val_sn[0, -1] - 1]
vf_s = [2 * self.con_sn[0, -1] - self.con_sn[0, 0] + 2]
if vi_s[0] < 0:
vi_s[0] = 0
ci_s, cf_s = vi_s, vf_s
ni, nf = vi_s[0], vf_s[0]
mvi = 2 * self.val_sn[0, 0]
mvf = 2 * (self.val_sn[0, -1] + 1)
mci = 2 * self.con_sn[0, 0]
mcf = 2 * (self.con_sn[0, -1] + 1)
else:
vi_s, vf_s = self.val_sn[:, 0], self.val_sn[:, -1] + 1
ci_s, cf_s = self.con_sn[:, 0], self.con_sn[:, -1] + 1
for ik, iK in enumerate(myKrange):
for s in range(Ns):
pair = get_pair(pd0, s, iK,
vi_s[s], vf_s[s], ci_s[s], cf_s[s])
m_m = np.arange(vi_s[s], vf_s[s])
n_n = np.arange(ci_s[s], cf_s[s])
if self.gw_skn is not None:
iKq = self.calc.wfs.kd.find_k_plus_q(self.q_c, [iK])[0]
epsv_m = self.gw_skn[s, iK, :self.nv]
epsc_n = self.gw_skn[s, iKq, self.nv:]
deps_ksmn[ik] = -(epsv_m[:, np.newaxis] - epsc_n)
elif self.spinors:
iKq = self.calc.wfs.kd.find_k_plus_q(self.q_c, [iK])[0]
epsv_m = e_mk[mvi:mvf, iK]
epsc_n = e_mk[mci:mcf, iKq]
deps_ksmn[ik, s] = -(epsv_m[:, np.newaxis] - epsc_n)
else:
deps_ksmn[ik, s] = -pair.get_transition_energies(m_m, n_n)
df_mn = pair.get_occupation_differences(self.val_sn[s],
self.con_sn[s])
rho_mnG = get_rho(pd0, pair,
m_m, n_n,
optical_limit=optical_limit,
direction=self.direction,
Q_aGii=Q_aGii,
extend_head=False)
if self.spinors:
if optical_limit:
deps0_mn = -pair.get_transition_energies(m_m, n_n)
rho_mnG[:, :, 0] *= deps0_mn
df_Ksmn[iK, s, ::2, ::2] = df_mn
df_Ksmn[iK, s, ::2, 1::2] = df_mn
df_Ksmn[iK, s, 1::2, ::2] = df_mn
df_Ksmn[iK, s, 1::2, 1::2] = df_mn
vecv0_nm = v_knm[iK][::2][ni:nf, mvi:mvf]
vecc0_nm = v_knm[iKq][::2][ni:nf, mci:mcf]
rho_0mnG = np.dot(vecv0_nm.T.conj(),
np.dot(vecc0_nm.T, rho_mnG))
vecv1_nm = v_knm[iK][1::2][ni:nf, mvi:mvf]
vecc1_nm = v_knm[iKq][1::2][ni:nf, mci:mcf]
rho_1mnG = np.dot(vecv1_nm.T.conj(),
np.dot(vecc1_nm.T, rho_mnG))
rhoex_KsmnG[iK, s] = rho_0mnG + rho_1mnG
if optical_limit:
rhoex_KsmnG[iK, s, :, :, 0] /= deps_ksmn[ik, s]
else:
df_Ksmn[iK, s] = pair.get_occupation_differences(m_m, n_n)
rhoex_KsmnG[iK, s] = rho_mnG
if self.eshift is not None:
deps_ksmn[np.where(df_Ksmn[myKrange] > 1.0e-3)] += self.eshift
deps_ksmn[np.where(df_Ksmn[myKrange] < -1.0e-3)] -= self.eshift
world.sum(df_Ksmn)
world.sum(rhoex_KsmnG)
self.rhoG0_S = np.reshape(rhoex_KsmnG[:, :, :, :, 0], -1)
if hasattr(self, 'H_sS'):
return
# Calculate Hamiltonian
t0 = time()
print('Calculating %s matrix elements at q_c = %s'
% (self.mode, self.q_c), file=self.fd)
H_ksmnKsmn = np.zeros((myKsize, Ns, Nv, Nc, nK, Ns, Nv, Nc), complex)
for ik1, iK1 in enumerate(myKrange):
for s1 in range(Ns):
kptv1 = self.pair.get_k_point(s1, iK1, vi_s[s1], vf_s[s1])
kptc1 = self.pair.get_k_point(s1, ikq_k[iK1], ci_s[s1],
cf_s[s1])
rho1_mnG = rhoex_KsmnG[iK1, s1]
#rhoG0_Ksmn[iK1, s1] = rho1_mnG[:, :, 0]
rho1ccV_mnG = rho1_mnG.conj()[:, :] * v_G
for s2 in range(Ns):
for Q_c in self.qd.bzk_kc:
iK2 = self.kd.find_k_plus_q(Q_c, [kptv1.K])[0]
rho2_mnG = rhoex_KsmnG[iK2, s2]
rho2_mGn = np.swapaxes(rho2_mnG, 1, 2)
H_ksmnKsmn[ik1, s1, :, :, iK2, s2, :, :] += (
np.dot(rho1ccV_mnG, rho2_mGn))
if not self.mode == 'RPA' and s1 == s2:
ikq = ikq_k[iK2]
kptv2 = self.pair.get_k_point(s1, iK2, vi_s[s1],
vf_s[s1])
kptc2 = self.pair.get_k_point(s1, ikq, ci_s[s1],
cf_s[s1])
rho3_mmG, iq = self.get_density_matrix(kptv1,
kptv2)
rho4_nnG, iq = self.get_density_matrix(kptc1,
kptc2)
if self.spinors:
vec0_nm = v_knm[iK1][::2][ni:nf, mvi:mvf]
vec1_nm = v_knm[iK1][1::2][ni:nf, mvi:mvf]
vec2_nm = v_knm[iK2][::2][ni:nf, mvi:mvf]
vec3_nm = v_knm[iK2][1::2][ni:nf, mvi:mvf]
rho_0mnG = np.dot(vec0_nm.T.conj(),
np.dot(vec2_nm.T, rho3_mmG))
rho_1mnG = np.dot(vec1_nm.T.conj(),
np.dot(vec3_nm.T, rho3_mmG))
rho3_mmG = rho_0mnG + rho_1mnG
vec0_nm = v_knm[ikq_k[iK1]][::2][ni:nf, mci:mcf]
vec1_nm = v_knm[ikq_k[iK1]][1::2][ni:nf,mci:mcf]
vec2_nm = v_knm[ikq][::2][ni:nf, mci:mcf]
vec3_nm = v_knm[ikq][1::2][ni:nf, mci:mcf]
rho_0mnG = np.dot(vec0_nm.T.conj(),
np.dot(vec2_nm.T, rho4_nnG))
rho_1mnG = np.dot(vec1_nm.T.conj(),
np.dot(vec3_nm.T, rho4_nnG))
rho4_nnG = rho_0mnG + rho_1mnG
rho3ccW_mmG = np.dot(rho3_mmG.conj(),
self.W_qGG[iq])
W_mmnn = np.dot(rho3ccW_mmG,
np.swapaxes(rho4_nnG, 1, 2))
W_mnmn = np.swapaxes(W_mmnn, 1, 2) * Ns * so
H_ksmnKsmn[ik1, s1, :, :, iK2, s1] -= 0.5 * W_mnmn
if iK1 % (myKsize // 5 + 1) == 0:
dt = time() - t0
tleft = dt * myKsize / (iK1 + 1) - dt
print(' Finished %s pair orbitals in %s - Estimated %s left' %
((iK1 + 1) * Nv * Nc * Ns * world.size,
timedelta(seconds=round(dt)),
timedelta(seconds=round(tleft))), file=self.fd)
#if self.mode == 'BSE':
# del self.Q_qaGii, self.W_qGG, self.pd_q
H_ksmnKsmn /= self.vol
mySsize = myKsize * Nv * Nc * Ns
if myKsize > 0:
iS0 = myKrange[0] * Nv * Nc * Ns
#world.sum(rhoG0_Ksmn)
#self.rhoG0_S = np.reshape(rhoG0_Ksmn, -1)
self.df_S = np.reshape(df_Ksmn, -1)
if not self.td:
self.excludef_S = np.where(np.abs(self.df_S) < 0.001)[0]
# multiply by 2 when spin-paired and no SOC
self.df_S *= 2.0 / nK / Ns / so
self.deps_s = np.reshape(deps_ksmn, -1)
H_sS = np.reshape(H_ksmnKsmn, (mySsize, self.nS))
for iS in range(mySsize):
# Multiply by occupations and adiabatic coupling
H_sS[iS] *= self.df_S[iS0 + iS] * ac
# add bare transition energies
H_sS[iS, iS0 + iS] += self.deps_s[iS]
self.H_sS = H_sS
if self.write_h:
self.par_save('H_SS.ulm', 'H_SS', self.H_sS)
def test_bs(self):
sb = StructureBuilder()
atoms, *_ = sb.get_structure("Si", "diamond")
# print(atoms)
base_dir = os.path.join(os.path.dirname(__file__),
"../../tmp/Si-class/")
m_calc = MaterCalc(atoms=atoms, base_dir=base_dir)
self.assertTrue(m_calc.relax(fmax=0.002)) # Very tight limit!
self.assertTrue(m_calc.ground_state())
# get the PBE BS
lattice_type = get_cellinfo(m_calc.atoms.cell).lattice
self.assertTrue(lattice_type in special_paths.keys())
kpts_bs = dict(path=special_paths[lattice_type], npoints=120)
gpw_name = os.path.join(base_dir, "gs.gpw")
self.assertTrue(os.path.exists(gpw_name))
calc_bs = GPAW(restart=gpw_name,
kpts=kpts_bs,
fixdensity=True,
symmetry='off',
txt=os.path.join(base_dir, "pbe-bs.txt"))
calc_bs.get_potential_energy()
# PBE bandgap
bg_pbe_min, *_ = bandgap(calc_bs, direct=False)
bg_pbe_dir, *_ = bandgap(calc_bs, direct=True)
calc_bs.write(os.path.join(base_dir, "pbe-bs.gpw"))
bs_pbe = calc_bs.band_structure()
bs_pbe.plot(emin=-10,
emax=10,
filename=os.path.join(base_dir, "pbe-bs.png"))
# get the gllbsc by steps
calc_ = GPAW(restart=gpw_name)
calc_gllb = GPAW(**calc_.parameters)
calc_gllb.set(xc="GLLBSC", txt=os.path.join(base_dir, "gllb-gs.txt"))
calc_gllb.atoms = calc_.atoms
del calc_
calc_gllb.get_potential_energy() # SC calculation
calc_gllb.write("gllb-gs.gpw")
calc_gllb_bs = GPAW(restart="gllb-gs.gpw",
kpts=kpts_bs,
fixdensity=True,
symmetry="off",
txt=os.path.join(base_dir, "gllb-bs.txt"))
world.barrier()
calc_gllb_bs.get_potential_energy()
homolumo = calc_gllb_bs.get_homo_lumo()
bg_gllb_ks = homolumo[1] - homolumo[0]
response = calc_gllb_bs.hamiltonian.xc.xcs["RESPONSE"]
response.calculate_delta_xc(homolumo / Ha)
EKs, Dxc = response.calculate_delta_xc_perturbation()
bg_gllb_deltaxc = EKs + Dxc
ibz_kpts = calc_gllb_bs.get_ibz_k_points()
e_kn = numpy.array([calc_gllb_bs.get_eigenvalues(kpt=k) \
for k in range(len(ibz_kpts))])
efermi = calc_gllb_bs.get_fermi_level()
e_kn[e_kn > efermi] += Dxc
bg_gllb_min, *_ = bandgap(eigenvalues=e_kn,
efermi=efermi,
direct=False)
bg_gllb_dir, *_ = bandgap(eigenvalues=e_kn, efermi=efermi, direct=True)
parprint("PBE: E_min \t E_dir")
parprint("{:.3f}\t{:.3f}".format(bg_pbe_min, bg_pbe_dir))
parprint("Gllb: EKS \t E_deltaxc")
parprint("{:.3f}\t{:.3f}".format(bg_gllb_ks, bg_gllb_deltaxc))
parprint("Gllb: E_min \t E_dir")
parprint("{:.3f}\t{:.3f}".format(bg_gllb_min, bg_gllb_dir))
bs_gllb = calc_gllb_bs.band_structure()
bs_gllb.energies[bs_gllb.energies > bs_gllb.reference] += Dxc
bs_gllb.plot(emin=-10,
emax=10,
filename=os.path.join(base_dir, "gllb-bs.png"))
calc_gllb_bs.write(os.path.join(base_dir, "gllb-bs.gpw"))