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Update documentation
These are changes in the documentation made by Markus. They should be compatible with the latest version of the triqs library 1.0.
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Michel Ferrero
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@ -77,7 +77,7 @@ In order to run LDA+DMFT calculations within Hubbard-I we need the corresponding
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It is generally similar to the script for the case of DMFT calculations with the CT-QMC solver (see :ref:`advanced`),
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however there are also some differences. First, instead of *pytriqs.applications.dft.solver_multiband* we import Hubbard-I solver ::
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from pytriqs.applications.impurity_solvers.hubbard_I.solver import Solver
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from pytriqs.applications.impurity_solvers.hubbard_I.hubbard_solver import Solver
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The Hubbard-I solver is very fast and we do not need to take into account the LDA blocking structure or use any approximation for the *U*-matrix ::
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@ -87,18 +87,19 @@ The Hubbard-I solver is very fast and we do not need to take into account the LD
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We load and convert the :program:`dmftproj` output and initialize the *SumkLDA* class as described in :ref:`LDADMFTmain` and :ref:`advanced` and then set up the Hubbard-I solver ::
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S = Solver(beta = beta, U_int = U_int, J_hund = J_hund, l = l)
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S.Nmoments=10
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S = Solver(beta = beta, l = l)
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where the solver is initialized with the value of `beta` as well as the `U` parameter (`U_int`) and Hund's rule coupling `J_hund`. Notice that `Solver_Hubbard-I` constructs the full 4-index `U`-matrix by default, and the `U` parameter is in fact the Slatter `F0` integral.
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The last necessary parameter is the orbital quantum number `l` (equal to 3 in our case).
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The next line gives the number of self-energy momenta used to compute contribution from the high-frequency tails.
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where the solver is initialized with the value of `beta`, and the orbital quantum number `l` (equal to 3 in our case).
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The Hubbard-I solver initialization `Solver` has also several optional parameters one may use:
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The Hubbard-I initialization `Solver` has also optional parameters one may use:
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* `n_msb`: is the number of Matsubara frequencies used (default is `n_msb=1025`)
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* `T`: A matrix that transforms the interaction matrix from complex spherical harmonics to a symmetry adapted basis. By default complex spherical harmonics basis is used and `T=None`
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* `use_spin_orbit`: if set 'True' the solver is run with spin-orbit coupling included. To perform actual LDA+DMFT calculations with spin-orbit one should also run :program:`Wien2k` and :program:`dmftproj` in spin-polarized mode and with spin-orbit included. By default `use_spin_orbit=False`
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The `Solver.solve(U_int, J_hund)` statement has two necessary parameters, the `U` parameter (`U_int`) and Hund's rule coupling `J_hund`. Notice that the solver constructs the full 4-index `U`-matrix by default, and the `U` parameter is in fact the Slatter `F0` integral. Other optional parameters are:
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* `T`: A matrix that transforms the interaction matrix from complex spherical harmonics to a symmetry adapted basis. By default complex spherical harmonics basis is used and `T=None`
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* `verbosity` tunes output from the solver. If `verbosity=0` only basic information is printed, if `verbosity=1` the ground state atomic occupancy and its energy are printed, if `verbosity=2` additional information is printed for all occupancies that were diagonalized. By default `verbosity=0`
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We need also to introduce some changes in the DMFT loop with respect to the ones used for CT-QMC calculations in :ref:`advanced`.
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@ -1,12 +1,12 @@
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from pytriqs.applications.dft.sumk_lda import *
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from pytriqs.applications.dft.converters.wien2k_converter import *
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from pytriqs.applications.impurity_solvers.hubbard_I.solver import Solver
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from pytriqs.applications.impurity_solvers.hubbard_I.hubbard_solver import Solver
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LDAFilename = 'Ce-gamma'
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LDAFilename = 'Ce'
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Beta = 40
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Uint = 6.00
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JHund = 0.70
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Loops = 3 # Number of DMFT sc-loops
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Loops = 2 # Number of DMFT sc-loops
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Mix = 0.7 # Mixing factor in QMC
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DC_type = 0 # 0...FLL, 1...Held, 2... AMF, 3...Lichtenstein
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DC_Mix = 1.0 # 1.0 ... all from imp; 0.0 ... all from Gloc
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@ -17,7 +17,7 @@ HDFfilename = LDAFilename+'.h5'
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# Convert DMFT input:
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# Can be commented after the first run
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Converter = Wien2kConverter(filename=LDAFilename,repacking=True)
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Converter = Wien2kConverter(filename=LDAFilename)
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Converter.convert_dmft_input()
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#check if there are previous runs:
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@ -45,8 +45,7 @@ Norb = SK.corr_shells[0][3]
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l = SK.corr_shells[0][2]
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# Init the Solver:
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S = Solver(Beta = Beta, Uint = Uint, JHund = JHund, l = l, Verbosity=2)
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S.Nmoments=10
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S = Solver(beta = Beta, l = l)
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if (previous_present):
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# load previous data:
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@ -64,21 +63,21 @@ for Iteration_Number in range(1,Loops+1):
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itn = Iteration_Number + previous_runs
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# put Sigma into the SumK class:
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SK.put_Sigma(Sigmaimp = [ S.Sigma ])
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SK.put_Sigma(Sigma_imp = [ S.Sigma ])
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# Compute the SumK, possibly fixing mu by dichotomy
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if SK.Density_Required and (Iteration_Number > 0):
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Chemical_potential = SK.find_mu( precision = 0.000001 )
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if SK.density_required and (Iteration_Number > 0):
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Chemical_potential = SK.find_mu( precision = 0.01 )
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else:
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mpi.report("No adjustment of chemical potential\nTotal density = %.3f"%SK.total_density(mu=Chemical_potential))
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# Density:
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S.G <<= SK.extract_Gloc()[0]
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S.G <<= SK.extract_G_loc()[0]
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mpi.report("Total charge of Gloc : %.6f"%S.G.total_density())
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dm = S.G.density()
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if ((Iteration_Number==1)and(previous_present==False)):
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SK.SetDoubleCounting( dm, U_interact = Uint, J_Hund = JHund, orb = 0, useDCformula = DC_type)
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SK.set_dc( dens_mat=dm, U_interact = Uint, J_hund = JHund, orb = 0, use_dc_formula = DC_type)
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# set atomic levels:
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eal = SK.eff_atomic_levels()[0]
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@ -91,7 +90,7 @@ for Iteration_Number in range(1,Loops+1):
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del ar
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# solve it:
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S.Solve()
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S.solve(U_int = Uint, J_hund = JHund, verbosity = 1)
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if (mpi.is_master_node()):
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ar = HDFArchive(HDFfilename)
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@ -99,7 +98,7 @@ for Iteration_Number in range(1,Loops+1):
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# Now mix Sigma and G:
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if ((itn>1)or(previous_present)):
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if (mpi.is_master_node()):
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if (mpi.is_master_node()and (Mix<1.0)):
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mpi.report("Mixing Sigma and G with factor %s"%Mix)
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if ('SigmaF' in ar):
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S.Sigma <<= Mix * S.Sigma + (1.0-Mix) * ar['SigmaF']
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@ -117,13 +116,13 @@ for Iteration_Number in range(1,Loops+1):
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# after the Solver has finished, set new double counting:
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dm = S.G.density()
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SK.SetDoubleCounting( dm, U_interact = Uint, J_Hund = JHund, orb = 0, useDCformula = DC_type )
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SK.set_dc( dm, U_interact = Uint, J_hund = JHund, orb = 0, use_dc_formula = DC_type )
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# correlation energy calculations:
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correnerg = 0.5 * (S.G * S.Sigma).total_density()
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mpi.report("Corr. energy = %s"%correnerg)
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if (mpi.is_master_node()):
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ar['correnerg%s'%itn] = correnerg
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ar['DCenerg%s'%itn] = SK.DCenerg
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ar['DCenerg%s'%itn] = SK.dc_energ
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del ar
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@ -150,9 +149,9 @@ for Iteration_Number in range(1,Loops+1):
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# find exact chemical potential
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if (SK.Density_Required):
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SK.Chemical_potential = SK.find_mu( precision = 0.000001 )
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dN,d = SK.calc_DensityCorrection(Filename = LDAFilename+'.qdmft')
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if (SK.density_required):
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SK.chemical_potential = SK.find_mu( precision = 0.000001 )
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dN,d = SK.calc_density_correction(filename = LDAFilename+'.qdmft')
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mpi.report("Trace of Density Matrix: %s"%d)
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@ -168,4 +167,3 @@ if (mpi.is_master_node()):
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f.write("%.16f\n"%correnerg)
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f.close()
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@ -41,15 +41,23 @@ Setting up the Multi-Band Solver
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There is a module that helps setting up the multiband CTQMC solver. It is loaded and initialized by::
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from pytriqs.applications.dft.solver_multiband import *
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S = SolverMultiBand(Beta, U_interact, J_Hund, Norb)
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S = SolverMultiBand(beta, n_orb, gf_struct = SK.gf_struct_solver[0], map=SK.map[0])
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The necessary parameters are the inverse temperature `beta`, the Coulomb interaction `U_interact`, the Hund's rule coupling `J_hund`,
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and the number of orbitals `n_orb`. There are again several optional parameters that allow to modify the local Hamiltonian to
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specific needs. They are:
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* `gf_struct`: Contains the block structure of the local density matrix. Has to be given in the format as calculated by :class:`SumkLDA`.
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* `map`: If `gf_Struct` is given as parameter, also `map` has to be given. This is the mapping from the block structure to a general
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* `map`: If `gf_struct` is given as parameter, also `map` has to be given. This is the mapping from the block structure to a general
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up/down structure.
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The solver method is called later by this statement::
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S.solve(U_interact = U, J_hund = J)
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The parameters for the Coulomb interaction `U_interact` and the Hunds coupling `J_hund` are necessary parameters.
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The following parameters are optional, by highly recommended to be set:
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* `use_matrix`: If `True`, the interaction matrix is calculated from Slater integrals, which are calculated from `U_interact` and
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`J_hund`. Otherwise, a Kanamori representation is used. Attention: We define the intraorbital interaction as
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`U_interact+2J_hund`, the interorbital interaction for opposite spins as `U_interact`, and interorbital for equal spins as
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@ -69,8 +77,8 @@ at the end of this tutorial.
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After initialisation, several other CTQMC parameters can be set (see CTQMC doc). The most important are:
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* `S.N_Cycles`: Number of QMC cycles per node.
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* `S.N_Warmup_Cycles`: Number of iterations used for thermalisation
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* `S.n_cycles`: Number of QMC cycles per node.
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* `S.n_warmup_cycles`: Number of iterations used for thermalisation
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@ -91,7 +99,7 @@ set up the loop over DMFT iterations and the self-consistency condition::
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S.G <<= SK.extract_G_loc()[0] # extract the local Green function
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S.G0 <<= inverse(S.Sigma + inverse(S.G)) # finally get G0, the input for the Solver
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S.Solve() # now solve the impurity problem
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S.Solve(U_interact = U, J_hund = J) # now solve the impurity problem
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dm = S.G.density() # density matrix of the impurity problem
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SK.set_dc( dm, U_interact = U, J_hund = J, use_dc_formula = 0) # Set the double counting term
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@ -112,7 +120,7 @@ At the end of the calculation, we can save the Greens function and self energy i
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from pytriqs.archive import HDFArchive
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import pytriqs.utility.mpi as mpi
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if mpi.is_master_node():
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R = HDFArchive("single_site_bethe.h5",'w')
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R = HDFArchive("YourLDADMFTcalculation.h5",'w')
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R["G"] = S.G
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R["Sigma"] = S.Sigma
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@ -64,16 +64,14 @@ The next step is to initialise the Solver::
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Norb = SK.corr_shells[0][3]
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l = SK.corr_shells[0][2]
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S = SolverMultiBand(beta=beta,U_interact=U,J_hund=J,n_orb=Norb,use_matrix=use_matrix,
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T=SK.T[0], gf_struct=SK.gf_struct_solver[0],map=SK.map[0],
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l=l, deg_orbs=SK.deg_shells[0], use_spinflip=use_spinflip)
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S = SolverMultiBand(beta=beta,n_orb=Norb,gf_struct=SK.gf_struct_solver[0],map=SK.map[0])
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As we can see, many options of the solver are set by properties of the :class:`SumkLDA` class, so we don't have
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to set them manually. We now set the basic parameters of the QMC solver::
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S.N_Cycles = qmc_cycles
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S.Length_Cycle = length_cycle
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S.N_Warmup_Cycles = warming_iterations
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S.n_cycles = qmc_cycles
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S.length_cycle = length_cycle
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S.n_warmup_cycles = warming_iterations
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If there are previous runs stored in the hdf5 archive, we can now load the self energy
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of the last iteration::
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@ -121,7 +119,9 @@ previous section, with some additional refinement::
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S.G0 = mpi.bcast(S.G0)
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# Solve the impurity problem:
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S.Solve()
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S.Solve(U_interact=U,J_hund=J,n_orb=Norb,use_matrix=use_matrix,
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T=SK.T[0], gf_struct=SK.gf_struct_solver[0],map=SK.map[0],
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l=l, deg_orbs=SK.deg_shells[0], use_spinflip=use_spinflip))
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# solution done, do the post-processing:
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mpi.report("Total charge of impurity problem : %.6f"%S.G.total_density())
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@ -43,7 +43,7 @@ density of states of the Wannier orbitals, you simply type::
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SK.check_input_dos(om_min, om_max, n_om)
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which produces plots between real frequencies `ommin` and `ommax`, using a mesh of `N_om` points. There
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which produces plots between real frequencies `om_min` and `om_max`, using a mesh of `n_om` points. There
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is an optional parameter, `broadening`, which defines an additional Lorentzian broadening, and is set to `0.01`
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by default.
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@ -5,7 +5,7 @@ The interface
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The basic function of the interface to the Wien2k program package is
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to take the output of the program that constructs the projected local
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orbitals (:program:`dmftproj`), and to store all the necessary information into
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orbitals (:program:`dmftproj`, for documentation see :download:`TutorialDmftproj.pdf <TutorialDmftproj.pdf>`), and to store all the necessary information into
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an hdf5 file. This latter file is then used to do the DMFT calculation. The
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reason for this structure is that this enables the user to have everything
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that is necessary to reproduce the calculation in one single hdf5 arxive.
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