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
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DOS of non-interacting 2D triangular lattice. |
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Calculate the m th moment of the triangular DOS. |
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Multi-precision DOS of non-interacting 2D triangular lattice. |
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Local Green’s function of the 2D triangular lattice. |
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Hilbert transform of non-interacting DOS of the triangular lattice. |