gftool.lattice.lieb

2D Lieb lattice.

The lieb lattice can be decomposed into square and a dispersionless flat band.

half_bandwidth:

The half-bandwidth D corresponds to a nearest neighbor hopping of t=D * 2**1.5

API

Functions

dos(eps, half_bandwidth)

DOS of non-interacting 2D Lieb lattice.

dos_moment(m, half_bandwidth)

Calculate the m th moment of the Lieb DOS.

dos_mp(eps[, half_bandwidth])

Multi-precision DOS of non-interacting 2D lieb lattice.

gf_z(z, half_bandwidth)

Local Green's function of the 2D Lieb lattice.

hilbert_transform(xi, half_bandwidth)

Hilbert transform of non-interacting DOS of the lieb lattice.