class triqs.lattice.super_lattice.TBSuperLattice(tb_lattice, super_lattice_units, cluster_sites=None, remove_internal_hoppings=False)[source]

Builds a superlattice on top of a base TBLattice.

  • tb_lattice (TBLattice instance) – The base tight binding lattice.
  • super_lattice_units (ndarray (2D)) – The unit vectors of the superlattice in the tb_lattice (integer) coordinates.
  • cluster_sites – Coordinates of the cluster in tb_lattice coordinates. If None, an automatic computation of cluster positions is made as follows: it takes all points whose coordinates in the basis of the superlattice are in [0, 1[^dimension.
  • remove_internal_hoppings (bool) – If true, the hopping terms are removed inside the cluster. Useful to add Hartree Fock terms at the boundary of a cluster, e.g.


__init__(tb_lattice, super_lattice_units[, …])
param units:Basis vectors for the real space lattice.
change_coordinates_L_to_SL(x) Given a point on the tb_lattice in lattice coordinates, returns its coordinates (R, alpha) in the Superlattice
change_coordinates_SL_to_L(R, alpha) Given a point in the supercell R, site (number) alpha, it computes its position on the tb_lattice in lattice coordinates
cluster_sites() Generate the position of the cluster site in the tb_lattice coordinates.
dispersion(arg) Evaluate the dispersion relation for a momentum vector k in units of the reciprocal lattice vectors
fold(D1[, remove_internal, create_zero]) Input: a function r-> f(r) on the tb_lattice given as a dictionnary Output: the function R-> F(R) folded on the superlattice.
fourier(arg) 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.
pack_index_site_orbital(n_site, n_orbital) nsite and n_orbital must start at 0
unpack_index_site_orbital(index) Inverse of pack_index_site_orbital


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