From 0d25aefc73af8601ffd1e0a91196f0f4584e1681 Mon Sep 17 00:00:00 2001 From: alberto-carta <49793269+alberto-carta@users.noreply.github.com> Date: Mon, 13 Feb 2023 12:41:17 +0100 Subject: [PATCH] Corrections for new calc_dc and calc_mu * typos and subbed check in spin polarized calculations for quantum espresso with a warning when computing the deltaN * fixed typos in comments * removed legacy mode maintaining only compatibility layer and switched to old (<3.10) python syntax * added target density output in mu finder for brent and newton, refactored tunit test for DC, changed some comments --- .gitignore | 1 - python/triqs_dft_tools/sumk_dft.py | 234 ++++++++++++----------------- test/python/NiO.ref.h5 | Bin 0 -> 2962753 bytes test/python/NiO.ref.h5_copy | Bin 0 -> 2962753 bytes test/python/SrVO3.ref.h5 | Bin 865641 -> 895737 bytes test/python/SrVO3.ref.h5_copy | Bin 0 -> 895737 bytes test/python/dc_test.py | 168 +++++++++++++++++++++ 7 files changed, 265 insertions(+), 138 deletions(-) create mode 100755 test/python/NiO.ref.h5 create mode 100755 test/python/NiO.ref.h5_copy create mode 100644 test/python/SrVO3.ref.h5_copy create mode 100755 test/python/dc_test.py diff --git a/.gitignore b/.gitignore index b2120b38..226118b4 100644 --- a/.gitignore +++ b/.gitignore @@ -1,3 +1,2 @@ compile_commands.json doc/cpp2rst_generated -build/ diff --git a/python/triqs_dft_tools/sumk_dft.py b/python/triqs_dft_tools/sumk_dft.py index f4aa22ed..14d16bf0 100644 --- a/python/triqs_dft_tools/sumk_dft.py +++ b/python/triqs_dft_tools/sumk_dft.py @@ -38,10 +38,11 @@ from warnings import warn from scipy import compress from scipy.optimize import minimize, newton, brenth -def compute_DC_from_density(N_tot, U, J, N_spin = None, n_orbitals=5, method='cFLL'): +def compute_DC_from_density(N_tot, U, J, N_spin = None, n_orbitals=5, method='sFLL'): """ - Computes the double counting correction in terms using various methods - + Computes the double counting correction using various methods. + For FLL and AMF DC the notations and equations from doi.org/10.1038/s41598-018-27731-4 + are used, whereas for the Held DC the definitions from doi.org/10.1080/00018730701619647 are used. Parameters ---------- @@ -69,45 +70,48 @@ def compute_DC_from_density(N_tot, U, J, N_spin = None, n_orbitals=5, method=' List of floats: - DC_val: double counting potential - E_val: double counting energy + + + todo: See whether to move this to TRIQS directly instead of dft_tools """ if N_spin is not None: N_spin2 = N_tot-N_spin Mag = N_spin - N_spin2 L_orbit = (n_orbitals-1)/2 - match method: - case 'cFLL': - E_val = 0.5 * U * N_tot * (N_tot-1) - 0.5 * J * N_tot * (N_tot*0.5-1) - DC_val = U * (N_tot-0.5) - J *(N_tot*0.5-0.5) + if method == 'cFLL': + E_val = 0.5 * U * N_tot * (N_tot-1) - 0.5 * J * N_tot * (N_tot*0.5-1) + DC_val = U * (N_tot-0.5) - J *(N_tot*0.5-0.5) - case 'sFLL': - assert N_spin is not None, "Spin density not given" - E_val = 0.5 * U * N_tot * (N_tot-1) - 0.5 * J * N_tot * (N_tot*0.5-1) - 0.25 * J * Mag**2 - DC_val = U * (N_tot-0.5) - J *(N_spin-0.5) + elif method == 'sFLL': + assert N_spin is not None, "Spin density not given" + E_val = 0.5 * U * N_tot * (N_tot-1) - 0.5 * J * N_tot * (N_tot*0.5-1) - 0.25 * J * Mag**2 + DC_val = U * (N_tot-0.5) - J *(N_spin-0.5) - case 'cAMF': - E_val = +0.5 * U * N_tot **2 - E_val -= 0.25*(U+2*L_orbit*J)/(2*L_orbit+1)*N_tot**2 - DC_val = U * N_tot - 0.5*(U+2*L_orbit*J)/(2*L_orbit+1)*N_tot + elif method == 'cAMF': + E_val = +0.5 * U * N_tot **2 + E_val -= 0.25*(U+2*L_orbit*J)/(2*L_orbit+1)*N_tot**2 + DC_val = U * N_tot - 0.5*(U+2*L_orbit*J)/(2*L_orbit+1)*N_tot - case 'sAMF': - assert N_spin is not None, "Spin density not given" - E_val = 0.5 * U * N_tot **2 - E_val -= 0.25*(U+2*L_orbit*J)/(2*L_orbit+1)*N_tot**2 - E_val -= 0.25*(U+2*L_orbit*J)/(2*L_orbit+1)*Mag**2 - DC_val = U * N_tot - (U+2*L_orbit*J)/(2*L_orbit+1)*N_spin + elif method == 'sAMF': + assert N_spin is not None, "Spin density not given" + E_val = 0.5 * U * N_tot **2 + E_val -= 0.25*(U+2*L_orbit*J)/(2*L_orbit+1)*N_tot**2 + E_val -= 0.25*(U+2*L_orbit*J)/(2*L_orbit+1)*Mag**2 + DC_val = U * N_tot - (U+2*L_orbit*J)/(2*L_orbit+1)*N_spin - case 'cHeld': - U_mean = (U + (n_orbitals-1)*(U-2*J)+(n_orbitals-1)*(U-3*J))/(2*n_orbitals-1) - E_val = 0.5 * U_mean * N_tot * (N_tot - 1) - DC_val = U_mean * (N_tot-0.5) + elif method == 'cHeld': + # Valid for a Kanamori-type Hamiltonian where U'=U-2J + U_mean = (U + (n_orbitals-1)*(U-2*J)+(n_orbitals-1)*(U-3*J))/(2*n_orbitals-1) + E_val = 0.5 * U_mean * N_tot * (N_tot - 1) + DC_val = U_mean * (N_tot-0.5) - case 'sHeld': - raise ValueError(f"Method sHeld not yet implemented") + elif method == 'sHeld': + raise ValueError(f"Method sHeld not yet implemented") - case _: - raise ValueError(f"DC type {method} not supported") + else: + raise ValueError(f"DC type {method} not supported") mpi.report(f"DC potential computed using the {method} method, V_DC = {DC_val:.6f} eV") mpi.report(f"E_DC using the {method} method, E_DC = {E_val:.6f} eV") @@ -1735,7 +1739,7 @@ class SumkDFT(object): self.dc_energ = dc_energ def calc_dc(self, dens_mat, orb=0, U_interact=None, J_hund=None, - use_dc_formula=0, use_dc_value=None, transform=True, legacy=True): + use_dc_formula=0, use_dc_value=None, transform=True): r""" Calculate and set the double counting corrections. @@ -1767,8 +1771,13 @@ class SumkDFT(object): Value of interaction parameter `U`. J_hund : float, optional Value of interaction parameter `J`. - use_dc_formula : int, optional - Type of double-counting correction (see description). + use_dc_formula : int or string, optional + Type of double-counting correction (see description of `compute_DC_from_density` above). + There is an interface with the legacy implementation which allows for the old convention: + * 0 -> 'sFLL' spin dependent fully localized limit + * 1 -> 'cHeld' spin independent Held formula + * 2 -> 'sAMF' spin dependent around-mean field approximation + use_dc_value : float, optional Value of the double-counting correction. If specified `U_interact`, `J_hund` and `use_dc_formula` are ignored. @@ -1807,68 +1816,21 @@ class SumkDFT(object): dim //= 2 if use_dc_value is None: - if legacy: - - if U_interact is None and J_hund is None: - raise ValueError("set_dc: either provide U_interact and J_hund or set use_dc_value to dc value.") - - if use_dc_formula == 0: # FLL - - self.dc_energ[icrsh] = U_interact / \ - 2.0 * Ncrtot * (Ncrtot - 1.0) - for sp in spn: - Uav = U_interact * (Ncrtot - 0.5) - \ - J_hund * (Ncr[sp] - 0.5) - self.dc_imp[icrsh][sp] *= Uav - self.dc_energ[icrsh] -= J_hund / \ - len(spn) * (Ncr[sp]) * (Ncr[sp] - 1.0) - mpi.report( - "DC for shell %(icrsh)i and block %(sp)s = %(Uav)f" % locals()) - - elif use_dc_formula == 1: # Held's formula, with U_interact the interorbital onsite interaction - - self.dc_energ[icrsh] = (U_interact + (dim - 1) * (U_interact - 2.0 * J_hund) + ( - dim - 1) * (U_interact - 3.0 * J_hund)) / (2 * dim - 1) / 2.0 * Ncrtot * (Ncrtot - 1.0) - for sp in spn: - Uav = (U_interact + (dim - 1) * (U_interact - 2.0 * J_hund) + (dim - 1) - * (U_interact - 3.0 * J_hund)) / (2 * dim - 1) * (Ncrtot - 0.5) - self.dc_imp[icrsh][sp] *= Uav - mpi.report( - "DC for shell %(icrsh)i and block %(sp)s = %(Uav)f" % locals()) - - elif use_dc_formula == 2: # AMF - - self.dc_energ[icrsh] = 0.5 * U_interact * Ncrtot * Ncrtot - for sp in spn: - Uav = U_interact * \ - (Ncrtot - Ncr[sp] / dim) - \ - J_hund * (Ncr[sp] - Ncr[sp] / dim) - self.dc_imp[icrsh][sp] *= Uav - self.dc_energ[ - icrsh] -= (U_interact + (dim - 1) * J_hund) / dim / len(spn) * Ncr[sp] * Ncr[sp] - mpi.report( - "DC for shell %(icrsh)i and block %(sp)s = %(Uav)f" % locals()) - - mpi.report("DC energy for shell %s = %s" % - (icrsh, self.dc_energ[icrsh])) + #For legacy compatibility + if use_dc_formula == 0: + mpi.report(f"Detected {use_dc_formula=}, changing to sFLL") + use_dc_formula = "sFLL" + if use_dc_formula == 1: + mpi.report(f"Detected {use_dc_formula=}, changing to cHeld") + use_dc_formula = "cHeld" + if use_dc_formula == 2: + mpi.report(f"Detected {use_dc_formula=}, changing to sAMF") + use_dc_formula = "sAMF" - else: - #For legacy compatibility - match use_dc_formula: - case 0: - mpi.report(f"Detected {use_dc_formula=}, changing to sFLL") - use_dc_formula = "sFLL" - case 1: - mpi.report(f"Detected {use_dc_formula=}, changing to cHeld") - use_dc_formula = "cHeld" - case 2: - mpi.report(f"Detected {use_dc_formula=}, changing to sAMF") - use_dc_formula = "sAMF" - - for sp in spn: - DC_val, E_val = compute_DC_from_density(N_tot=Ncrtot,U=U_interact, J=J_hund, n_orbitals=dim, N_spin=Ncr[sp], method=use_dc_formula) - self.dc_imp[icrsh][sp] *= DC_val - self.dc_energ[icrsh] -= E_val + for sp in spn: + DC_val, E_val = compute_DC_from_density(N_tot=Ncrtot,U=U_interact, J=J_hund, n_orbitals=dim, N_spin=Ncr[sp], method=use_dc_formula) + self.dc_imp[icrsh][sp] *= DC_val + self.dc_energ[icrsh] = E_val @@ -2048,7 +2010,6 @@ class SumkDFT(object): def calc_mu(self, precision=0.01, broadening=None, delta=0.5, max_loops=100, method="dichotomy"): r""" Searches for the chemical potential that gives the DFT total charge. - A simple bisection method is used. Parameters ---------- @@ -2061,7 +2022,7 @@ class SumkDFT(object): max_loops : int, optional Number of dichotomy loops maximally performed. - max_loops : string, optional + method : string, optional Type of optimization used: * dichotomy: usual bisection algorithm from the TRIQS library * newton: newton method, faster convergence but more unstable @@ -2116,52 +2077,50 @@ class SumkDFT(object): mpi.report("Trying out mu = {}".format(str(mu))) calc_dens = self.total_density(mu=mu, broadening=broadening).real - density - mpi.report("Delta to target density = {}".format(str(calc_dens))) + mpi.report(f"Target density = {density}; Delta to target = {calc_dens}") return calc_dens #check for lowercase matching for the method variable - match method.lower(): + if method.lower()=="dichotomy": + mpi.report("\nSUMK calc_mu: Using dichtomy adjustment to find chemical potential\n") + self.chemical_potential = dichotomy.dichotomy(function=F_bisection, + x_init=self.chemical_potential, y_value=density, + precision_on_y=precision, delta_x=delta, max_loops=max_loops, + x_name="Chemical Potential", y_name="Total Density", + verbosity=3)[0] + elif method.lower()=="newton": + mpi.report("\nSUMK calc_mu: Using Newton method to find chemical potential\n") + self.chemical_potential = newton(func=F_optimize, + x0=self.chemical_potential, + tol=precision, maxiter=max_loops, + ) - case "dichotomy": - mpi.report("\nSUMK calc_mu: Using dichtomy adjustment to find chemical potential\n") - self.chemical_potential = dichotomy.dichotomy(function=F_bisection, - x_init=self.chemical_potential, y_value=density, - precision_on_y=precision, delta_x=delta, max_loops=max_loops, - x_name="Chemical Potential", y_name="Total Density", - verbosity=3)[0] - case 'newton': - mpi.report("\nSUMK calc_mu: Using Newton method to find chemical potential\n") - self.chemical_potential = newton(func=F_optimize, - x0=self.chemical_potential, - tol=precision, maxiter=max_loops, - ) - - case 'brent': - mpi.report("\nSUMK calc_mu: Using Brent method to find chemical potential") - mpi.report("SUMK calc_mu: Finding bounds \n") - - mu_guess_0, mu_guess_1 = find_bounds(function=F_optimize, - x_init=self.chemical_potential, - delta_x=delta, max_loops=max_loops, - ) - mu_guess_1 += 0.01 #scrambles higher lying interval to avoid getting stuck - mpi.report("\nSUMK calc_mu: Searching root with Brent method\n") - self.chemical_potential = brenth(f=F_optimize, - a=mu_guess_0, - b=mu_guess_1, - xtol=precision, maxiter=max_loops, - ) + elif method.lower()=="brent": + mpi.report("\nSUMK calc_mu: Using Brent method to find chemical potential") + mpi.report("SUMK calc_mu: Finding bounds \n") - case _: - raise ValueError( - f"SUMK calc_mu: The method selected: {method}, is not implemented\n", - """ - Please check for typos or select one of the following: - * dichotomy: usual bisection algorithm from the TRIQS library - * newton: newton method, fastest convergence but more unstable - * brent: finds bounds and proceeds with hyperbolic brent method, a compromise between speed and ensuring convergence - """ - ) + mu_guess_0, mu_guess_1 = find_bounds(function=F_optimize, + x_init=self.chemical_potential, + delta_x=delta, max_loops=max_loops, + ) + mu_guess_1 += 0.01 #scrambles higher lying interval to avoid getting stuck + mpi.report("\nSUMK calc_mu: Searching root with Brent method\n") + self.chemical_potential = brenth(f=F_optimize, + a=mu_guess_0, + b=mu_guess_1, + xtol=precision, maxiter=max_loops, + ) + + else: + raise ValueError( + f"SUMK calc_mu: The selected method: {method}, is not implemented\n", + """ + Please check for typos or select one of the following: + * dichotomy: usual bisection algorithm from the TRIQS library + * newton: newton method, fastest convergence but more unstable + * brent: finds bounds and proceeds with hyperbolic brent method, a compromise between speed and ensuring convergence + """ + ) return self.chemical_potential @@ -2414,7 +2373,8 @@ class SumkDFT(object): f.write("\n") elif dm_type == 'qe': - assert self.SP == 0, "Spin-polarized density matrix is not implemented" + if self.SP == 0: + mpi.report("SUMK calc_density_correction: WARNING! 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