gftool.lattice.fcc

3D face-centered cubic (fcc) lattice.

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

\[ϵ_{k_x,k_y,k_z} = 4t [\cos(k_x/2)\cos(k_y/2) + \cos(k_x/2)\cos(k_z/2) + \cos(k_y/2) \cos(k_z/2)]\]

which takes values in \(ϵ_{k_x, k_y, k_z} ∈ [-4t, +12t] = [-0.5D, +1.5D]\).

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