netket.graph.Pyrochlore

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netket.graph.Pyrochlore#

class netket.graph.Pyrochlore[source]#

Bases:

Constructs a pyrochlore lattice of a given spatial extent. Periodic boundary conditions can also be imposed.

Sites are returned at the 16c Wyckoff positions of the FCC lattice ([111]/8, [1 -1 -1]/8, [-1 1 -1]/8, [-1 -1 1]/8, and translations thereof).

Parameters:

  • extent (Sequence[int]) – Number of primitive unit cells along each direction, needs to be an array of length 3

  • pbc (bool | Sequence[bool]) – If True, the lattice will have periodic boundary conditions (PBC); if False, the lattice will have open boundary conditions (OBC). This parameter can also be a list of booleans with same length as the parameter length, in which case each dimension will have PBC/OBC depending on the corresponding entry of pbc.

  • point_group (PointGroup | None) – point group object describing the symmetry of the lattice If not specified, uses the full symmetry group of the pyrochlore lattice.

  • kwargs – Additional keyword arguments are passed on to the constructor of netket.graph.Lattice.

Return type:

Lattice

Example

Construct a pyrochlore lattice with 3×3×3 primitive unit cells:

>>> from netket.graph import Pyrochlore
>>> g = Pyrochlore(extent=[3,3,3])
>>> print(g.n_nodes)
108
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