triqs_modest.embedding.Embedding

class triqs_modest.embedding.Embedding

The embedding class.

The embedding class encodes the mapping between impurities and the correlated space \(\mathcal{C}\) (cf. ModEST implementation notes). In particular, it maps the individual “blocks” within an impurity self-energy to a block and spin of the embedded self-energy function, which can then be upfolded (downfolded) to obtain the lattice self-energy and the local Green’s function.

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Dispatched C++ constructor(s).

[1] (sigma_embed_decomposition: [int],
     imp_decompositions: [[int]],
     psi: ndarray[ImpBlockT, 2],
     sigma_names: [str])

[2] ()

[1] Construct an embedding object.

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[2] Default constructor for reading from HDF5.

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Parameters:

sigma_embed_decomposition[int]

Decomposition (list of block sizes) for \(\Sigma_{\text{embed}}\): \([ \alpha ] =\) block size. Note that the decompositions are given for \(\alpha\), \(\gamma\) index, and are independent of \(\sigma\).

imp_decompositions[[int]]

List of decomposition of solvers: [n_imp][\(\gamma\)] = block size.

psindarray[ImpBlockT, 2]

The mapping \(\psi[\alpha,\sigma]\) -> n_imp, \(\gamma\), \(\tau\).

sigma_names[str]

Names for the values of the \(\sigma\) index (e.g., “up”, “down”).

Attributes

imp_block_structure	Block structure (names and dimensions) for each impurity solver.
merge_embed_block_by_imp	Merge consecutive \(\alpha\) blocks belonging to the same impurity into a single block.
n_alpha	Number of blocks in \(\alpha\) for the \(\Sigma_{\text{embed}}\).
n_impurities	Number of impurities.
n_sigma	Number of blocks in \(\sigma\) for the \(\Sigma_{\text{embed}}\).
psi_map	The mapping table \(\psi\).
sigma_names	The names of the sigma indices.
slice_sigma	Slice the embedding to a single \(\sigma\) channel ("ud").

Methods

description	Summarize the embedding object.
drop_imp	Remove an impurity from the embedding table \(\psi\).
embed	Embed impurity data into the full correlated space.
extract	Extract impurity data from embedded arrays.
imp_decomposition	The impurity decomposition.
make_zero_imp_self_energies	Create zero-initialized impurity self-energies.
n_gamma	Number of blocks in \(\gamma\) for the \(\Sigma_{\text{imp}}\) [imp_idx].
replace_imp	Redirect all \(\psi\) entries from one impurity to another.
split_imp	Split impurity imp_idx using a predicate.
split_imp_block	Split a single \(\gamma\) block of an impurity into multiple blocks.
swap_sigma	Swap the \(\sigma\) (spin) assignment for \(\alpha\) block alpha.