gftool.lattice.bethe.gf_d1_z

gftool.lattice.bethe.gf_d1_z(z, half_bandwidth)[source]

First derivative of local Green’s function of Bethe lattice for infinite coordination number.

Parameters
zcomplex array_like or complex

Green’s function is evaluated at complex frequency z

half_bandwidthfloat

half-bandwidth of the DOS of the Bethe lattice The half_bandwidth corresponds to the nearest neighbor hopping t=D/2

Returns
gf_d1_zcomplex np.ndarray or complex

Value of the derivative of the Green’s function