lattice_dyson_g0_wk

Synopsis:

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

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

Parameters

• mu: chemical potential \(\mu\)
• e_k: discretized lattice dispersion \(\epsilon_{\bar{a}b}(\mathbf{k})\)
• mesh: imaginary frequency mesh

Return value

Matsubara frequency lattice Green’s function $G^{(0)}_{abar{b}}(iomega_n, mathbf{k})$

Documentation

Computes

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

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