triqs_tprf::lattice_dyson_g0_wk

#include <triqs_tprf.hpp>

Synopsis

g_wk_t lattice_dyson_g0_wk (double mu, e_k_cvt e_k, gf_mesh<triqs::mesh::imfreq> mesh)

Construct a non-interacting Matsubara frequency lattice Green’s function \(G^{(0)}_{a\bar{b}}(i\omega_n, \mathbf{k})\)

Computes

\[G^{(0)}_{a\bar{b}}(i\omega_n, \mathbf{k}) = \left[ (i\omega_n + \mu ) \cdot \mathbf{1} - \epsilon(\mathbf{k})\]

right]^{-1}_{abar{b}},

using a discretized dispersion \(\epsilon_{\bar{a}b}(\mathbf{k})\), chemical potential \(\mu\), and a Matsubara frequency Green’s function mesh.

Parameters

• mu chemical potential \(\mu\)

• e_k discretized lattice dispersion \(\epsilon_{\bar{a}b}(\mathbf{k})\)

• mesh imaginary frequency mesh

Returns

Matsubara frequency lattice Green’s function \(G^{(0)}_{a\bar{b}}(i\omega_n, \mathbf{k})\)