gftool.lattice.bethe¶
Bethe lattice with infinite coordination number.
This is in fact no real lattice, but a tree. It corresponds to a semi-circular DOS.
| half_bandwidth: | The half_bandwidth corresponds to a scaled nearest neighbor hopping of t=D/2 |
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API¶
Functions
dos(eps, half_bandwidth) |
DOS of non-interacting Bethe lattice for infinite coordination number. |
dos_moment(m, half_bandwidth) |
Calculate the m th moment of the Bethe DOS. |
dos_mp(eps[, half_bandwidth]) |
Multi-precision DOS of non-interacting Bethe lattice for infinite coordination number. |
gf_d1_z(z, half_bandwidth) |
First derivative of local Green’s function of Bethe lattice for infinite coordination number. |
gf_d2_z(z, half_bandwidth) |
Second derivative of local Green’s function of Bethe lattice for infinite coordination number. |
gf_z(z, half_bandwidth) |
Local Green’s function of Bethe lattice for infinite coordination number. |
hilbert_transform(xi, half_bandwidth) |
Hilbert transform of non-interacting DOS of the Bethe lattice. |