gftool.beb.self_root_eq¶

gftool.beb.self_root_eq(self_beb_z, z, e_onsite, concentration, hopping_dec: gftool.beb.SpecDec, hilbert_trafo: Callable[[complex], complex])[source]¶

Root equation r(Σ)=0 for BEB.

Parameters

self_beb_z(…, N_cmpt, N_cmpt) complex np.ndarray: BEB self-energy.
z(…) complex np.ndarray: Frequency points.
e_onsite(…, N_cmpt) float or complex array_like: On-site energy of the components.
concentration(…, N_cmpt) float array_like: Concentration of the different components.
hopping_decSVD: Compact SVD decomposition of the (N_cmpt, N_cmpt) hopping matrix in the components.
hilbert_trafoCallable[[complex], complex]: Hilbert transformation of the lattice to calculate the local Green’s function.

Returns

diff(…, N_cmpt, N_cmpt): Difference of the inverses of the local and the average Green’s function. If diff = 0, self_beb_z is the correct self-energy.