triqs.lattice.tight_binding.TBLattice

class triqs.lattice.tight_binding.TBLattice(units, hoppings={}, orbital_positions=[(0, 0, 0)], orbital_names=None, hopping=None)[source]

Class describing a tight binding hamiltonian on top of a bravais lattice. Has objects of type BravaisLattice, BrillouinZone and TightBinding as attributes, and exposes part of their interfaces.

bl

The associated Bravais Lattice

Type:: BravaisLattice

bz

The associated Brillouin Zone

Type:: BrillouinZone

tb

The tight-binding Hamiltonian

Type:: TightBinding

Methods

`__init__`(units[, hoppings, ...])	param units: Basis vectors for the real space lattice.
`dispersion`(arg)	Signature : (k_cvt K) -> nda::array<double, 1> Evaluate the dispersion relation for a momentum vector k in units of the reciprocal lattice vectors
`fourier`(arg)	Signature : (k_cvt K) -> matrix<dcomplex> Evaluate the fourier transform for a momentum vector k in units of the reciprocal lattice vectors
`get_kmesh`(n_k)	Return a mesh on the Brillouin zone with a given discretization
`get_rmesh`(n_r)	Return a mesh on the Bravais lattice with a given periodicity
`lattice_to_real_coordinates`(x)	Signature : (r_t x) -> r_t Transform into real coordinates.

Attributes

`hoppings`
`n_orbitals`	Number of orbitals in the unit cell
`ndim`	Number of dimensions of the lattice
`orbital_names`	The list of orbital names
`orbital_positions`	The list of orbital positions
`units`	Number of dimensions of the lattice