gftool.lattice.kagome

2D Kagome lattice.

The DOS is finite in the interval \([-2D/3, 4D/3]\), where \(D\) is the half-bandwidth.

The kagome lattice can be decomposed into triangular and a dispersionless flat band. The dispersive part looks like the honeycomb lattice.

half_bandwidth:

The half-bandwidth D corresponds to a nearest neighbor hopping of t=2D/3

API

Functions

dos(eps, half_bandwidth)

DOS of non-interacting 2D kagome lattice.

dos_moment(m, half_bandwidth)

Calculate the m th moment of the kagome DOS.

dos_mp(eps[, half_bandwidth])

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

gf_z(z, half_bandwidth)

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

hilbert_transform(xi, half_bandwidth)

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