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135 lines
11 KiB
ReStructuredText
135 lines
11 KiB
ReStructuredText
.. _hdfstructure:
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hdf5 structure
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==============
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All the data is stored using the hdf5 standard, as described also in the
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documentation of the TRIQS package itself. In order to do a DMFT calculation,
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using input from DFT applications, a converter is needed on order to provide
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the necessary data in the hdf5 format.
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groups and their formats
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------------------------
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In order to be used with the DMFT routines, the following data needs to be
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provided in the hdf5 file. It contains a lot of information in order to perform
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DMFT calculations for all kinds of situations, e.g. d-p Hamiltonians, more than
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one correlated atomic shell, or using symmetry operations for the k-summation.
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We store all data in subgroups of the hdf5 archive:
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Main data
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^^^^^^^^^
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There needs to be one subgroup for the main data of the
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calculation. The default name of this group is `dft_input`. Its contents are
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================= ====================================================================== =====================================================================================
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Name Type Meaning
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================= ====================================================================== =====================================================================================
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energy_unit numpy.float Unit of energy used for the calculation.
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n_k numpy.int Number of k-points used for the BZ integration.
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k_dep_projection numpy.int 1 if the dimension of the projection operators depend on the k-point,
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0 otherwise.
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SP numpy.int 1 for spin-polarised Hamiltonian, 0 for paramagnetic Hamiltonian.
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SO numpy.int 1 if spin-orbit interaction is included, 0 otherwise.
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charge_below numpy.float Number of electrons in the crystal below the correlated orbitals.
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Note that this is for compatibility with dmftproj.
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density_required numpy.float Required total electron density. Needed to determine the chemical potential.
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The density in the projection window is then `density_required`-`charge_below`.
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symm_op numpy.int 1 if symmetry operations are used for the BZ sums,
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0 if all k-points are directly included in the input.
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n_shells numpy.int Number of atomic shells for which post-processing is possible.
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Note: this is `not` the number of correlated orbitals!
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If there are two equivalent atoms in the unit cell, `n_shells` is 2.
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shells list of dict {string:int}, dim n_shells x 4 Atomic shell information.
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For each shell, have a dict with keys ['atom', 'sort', 'l', 'dim'].
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'atom' is the atom index, 'sort' defines the equivalency of the atoms,
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'l' is the angular quantum number, 'dim' is the dimension of the atomic shell.
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e.g. for two equivalent atoms in the unit cell, `atom` runs from 0 to 1,
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but `sort` can take only one value 0.
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n_corr_shells numpy.int Number of correlated atomic shells.
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If there are two correlated equivalent atoms in the unit cell, `n_corr_shells` is 2.
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corr_shells list of dict {string:int}, dim n_corr_shells x 6 Correlated orbital information.
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For each correlated shell, have a dict with keys
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['atom', 'sort', 'l', 'dim', 'SO', 'irep'].
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'atom' is the atom index, 'sort' defines the equivalency of the atoms,
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'l' is the angular quantum number, 'dim' is the dimension of the atomic shell.
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'SO' is one if spin-orbit is included, 0 otherwise, 'irep' is a dummy integer 0.
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use_rotations numpy.int 1 if local and global coordinate systems are used, 0 otherwise.
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rot_mat list of numpy.array.complex, Rotation matrices for correlated shells, if `use_rotations`.
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dim n_corr_shells x [corr_shells['dim'],corr_shells['dim']] Set to the unity matrix if no rotations are used.
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rot_mat_time_inv list of numpy.int, dim n_corr_shells If `SP` is 1, 1 if the coordinate transformation contains inversion, 0 otherwise.
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If `use_rotations` or `SP` is 0, give a list of zeros.
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n_reps numpy.int Number of irreducible representations of the correlated shell.
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e.g. 2 if eg/t2g splitting is used.
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dim_reps list of numpy.int, dim n_reps Dimension of the representations.
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e.g. [2,3] for eg/t2g subsets.
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T list of numpy.array.complex, Transformation matrix from the spherical harmonics to impurity problem basis
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dim n_inequiv_corr_shell x normally the real cubic harmonics).
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[max(corr_shell['dim']),max(corr_shell['dim'])] This matrix is used to calculate the 4-index U matrix.
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n_orbitals numpy.array.int, dim [n_k,SP+1-SO] Number of Bloch bands included in the projection window for each k-point.
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If SP+1-SO=2, the number of included bands may depend on the spin projection up/down.
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proj_mat numpy.array.complex, Projection matrices from Bloch bands to Wannier orbitals.
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dim [n_k,SP+1-SO,n_corr_shells,max(corr_shell['dim']),max(n_orbitals)] For efficient storage reasons, all matrices must be of the same size
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(given by last two indices).
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For k-points with fewer bands, only the first entries are used, the rest are zero.
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e.g. if number of Bloch bands ranges from 4-6, all matrices are of size 6.
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bz_weights numpy.array.float, dim n_k Weights of the k-points for the k summation.
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hopping numpy.array.complex, Non-interacting Hamiltonian matrix for each k point.
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dim [n_k,SP+1-SO,max(n_orbitals),max(n_orbitals)] As for `proj_mat`, all matrices have to be of the same size.
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================= ====================================================================== =====================================================================================
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Symmetry operations
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^^^^^^^^^^^^^^^^^^^
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In this subgroup we store all the data for applying the symmetry operations in
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the DMFT loop (in case you want to use symmetry operations). The default name
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of this subgroup is `dft_symmcorr_input`. This information is needed only if symmetry
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operations are used to do the k summation. To be continued...
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.. warning::
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TO BE COMPLETED!
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General and simple H(k) Converter
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---------------------------------
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The above described converter of the Wien2k input is quite involved, since
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Wien2k provides a lot of information, e.g. about symmetry operations, that can
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be used in the calculation. However, sometimes we want to use a light
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implementation where the input consists basically only of the Hamiltonian
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matrix in Wannier basis, given at a grid of k points in the first Brillouin
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zone. For this purpose, a simple converter is included in the package, called
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:class:`HkConverter`, which is implemented for the simplest case of
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paramagnetic DFT calculations without spin-orbit coupling. It reads a simple,
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easy to construct text file, and produces an archive that can be used for the
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DMFT calculations. An example input file for a structure with one correlated
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site with 3 t2g orbitals in the unit cell contains the following:
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10 <- n_k
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1.0 <- density_required
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1 <- n_shells
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1 1 2 3 <- shells, as above: atom, sort, l, dim
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1 <- n_corr_shells
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1 1 2 3 0 0 <- corr_shells, as above: atom, sort, l, dim, SO, dummy
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2 2 3 <- n_reps, dim_reps (length 2, because eg/t2g splitting) for each inequivalent correlated shell
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After this header, we give the Hamiltonian matrices for al the k-points. for
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each k-point we give first the matrix of the real part, then the matrix of the
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imaginary part. The projection matrices are set automatically to unity
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matrices, no rotations, no symmetry operations are used. That means that the
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symmetry sub group in the hdf5 archive needs not be set, since it is not used.
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It is furthermore assumed that all k-points have equal weight in the k-sum.
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Note that the input file should contain only the numbers, not the comments
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given in above example.
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The Hamiltonian matrices can be taken, e.g., from Wannier90, which contructs
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the Hamiltonian in a maximally localised Wannier basis.
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Note that with this simplified converter, no full charge self consistent
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calculations are possible!
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