triqs_tprf::lattice_dyson_g0_fk

#include <triqs_tprf.hpp>

Synopsis

g_fk_t lattice_dyson_g0_fk (double mu, e_k_cvt e_k, mesh::refreq mesh, double delta)

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

Computes

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

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

Parameters

• mu chemical potential \(\mu\)

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

• mesh real frequency mesh

• delta broadening \(\delta\)

Returns

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