triqs_cthyb.tail_fit.sigma_high_frequency_moments

triqs_cthyb.tail_fit.sigma_high_frequency_moments(density_matrix, ad_imp, gf_struct, h_int)[source]

Calculate the first and second high frequency moment of Sigma_iw following Rev. Mod. Phys. 83, 349 (2011). They read (0) Sigma_0 = -<{[Hint,c],c+}> (Hartree shift) (1) Sigma_1 = <{[Hint,[Hint,c]],c+}> - Sigma_0^2, where Hint is the interaction Hamiltonian

Parameters:

density_matrix : list, np.ndarray

measured density matrix from TRIQS/CTHYB.

ad_imp : AtomDiag

h_loc_diagonalization from TRIQS/CTHYB.

gf_struct : List of pairs (str,int)

Block structure of Green’s function.

h_int : triqs.operators.Operator

interaction Hamiltonian

Returns:

sigma_moments : dict, np.ndarray

first and second moments in a dict with the same block strucutre of the TRIQS Gf object.