gftool.lattice.bcc

3D body-centered cubic (bcc) lattice.

The dispersion of the 3D body-centered cubic lattice is given by

\[ϵ_{k_x, k_y, k_z} = 8t \cos(k_x) \cos(k_y) \cos(k_z)\]

which takes values in \(ϵ_{k_x, k_y, k_z} ∈ [-8t, +8t] = [-D, +D]\).

half_bandwidth

The half_bandwidth corresponds to a nearest neighbor hopping of t=D/8

API

Functions

dos(eps, half_bandwidth)	DOS of non-interacting 3D body-centered cubic lattice.
dos_moment(m, half_bandwidth)	Calculate the m th moment of the body-centered cubic DOS.
dos_mp(eps[, half_bandwidth])	Multi-precision DOS of non-interacting 3D body-centered lattice.
gf_z(z, half_bandwidth)	Local Green’s function of 3D body-centered cubic (bcc) lattice.
hilbert_transform(xi, half_bandwidth)	Hilbert transform of non-interacting DOS of the body-centered cubic lattice.