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. |
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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. |