triqs.gfs.semicirc

Green’s function for a semi-circular density of states.

\[\rho(\omega) = \frac{2}{\pi D^2}\,\sqrt{D^2 - \omega^2}, \qquad |\omega| \le D\]

Closed-form expressions exist in the complex frequency plane. On the imaginary-time axis a fast panel quadrature is used.

Functions

g_semicirc_z Complex frequency (except [-D, D]) G(z) g_semicirc_w Real frequency G(ω + i0⁺) g_semicirc_tau Imaginary time G(τ) via panel quadrature g_semicirc_tau_adapquad Imaginary time G(τ) via adaptive quadrature

Functions

g_semicirc_tau(tau, beta, D[, p, n_levels])	Semi-circular Green's function on the imaginary-time axis.
g_semicirc_tau_adapquad(tau, beta, D[, ...])	Semi-circular Green's function on the imaginary-time axis via adaptive quadrature.
g_semicirc_w(w, D)	Retarded semi-circular Green's function on the real-frequency axis.
g_semicirc_z(z, D)	Semi-circular Green's function for complex frequency without [-D, D].