gftool.lattice.triangular

2D triangular lattice.

The dispersion of the 2D triangular lattice is given by

\[ϵ_{k_x, k_y} = t [\cos(2k_x) + 2 \cos(k_x)\cos(k_y)]\]

which takes values \(ϵ_{k_x, k_y} ∈ [-1.5t, 3t] = [-2D/3, 4D/3]\).

half_bandwidth:The half-bandwidth D corresponds to a nearest neighbor hopping of t=4D/9.

API

Functions

dos(eps, half_bandwidth)	DOS of non-interacting 2D triangular lattice.
dos_moment(m, half_bandwidth)	Calculate the m th moment of the triangular DOS.
dos_mp(eps[, half_bandwidth])	Multi-precision DOS of non-interacting 2D triangular lattice.
gf_z(z, half_bandwidth)	Local Green’s function of the 2D triangular lattice.
hilbert_transform(xi, half_bandwidth)	Hilbert transform of non-interacting DOS of the triangular lattice.