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.