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HyperCells

Studying hyperbolic lattices with periodic boundary conditions and hyperbolic band theory (using the supercell method).

Software packages

HyperCells is a GAP package that allows constructing primitive cells and supercells of hyperbolic lattices based on triangle groups and quotients with normal subgroups.

HyperBloch is a Mathematica package for constructing tight-binding models on hyperbolic lattices and calculating their band structures using the supercell method.

Data sets and libraries

  • cell-graph-library: A collection of pregenerated cell, model, and supercell model graphs for direct import in GAP, Mathematica, or for use in any other programming language by parsing the text files.

Website

The website with guides and tutorials can be found here.

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  1. HyperBloch HyperBloch Public

    HyperBloch is a Mathematica package for constructing tight-binding models on hyperbolic lattices and calculating their band structures using the supercell method.

    Mathematica 4 2

  2. HyperCells HyperCells Public

    HyperCells is a GAP package that allows constructing primitive cells and supercells of hyperbolic lattices based on triangle groups and quotients with normal subgroups.

    GAP 4 2

Repositories

Showing 5 of 5 repositories
  • HyperBloch Public

    HyperBloch is a Mathematica package for constructing tight-binding models on hyperbolic lattices and calculating their band structures using the supercell method.

    HyperCells/HyperBloch’s past year of commit activity
    Mathematica 4 2 0 0 Updated Dec 16, 2024
  • cell-graph-library Public

    Collection of cell, model, and supercell model graphs of hyperbolic lattices generated with HyperCells.

    HyperCells/cell-graph-library’s past year of commit activity
    0 1 0 0 Updated Dec 10, 2024
  • HyperCells.github.io Public

    Website for the HyperCells and HyperBloch packages with tutorials.

    HyperCells/HyperCells.github.io’s past year of commit activity
    Mathematica 2 0 0 0 Updated Dec 9, 2024
  • HyperCells Public

    HyperCells is a GAP package that allows constructing primitive cells and supercells of hyperbolic lattices based on triangle groups and quotients with normal subgroups.

    HyperCells/HyperCells’s past year of commit activity
    GAP 4 2 6 0 Updated Dec 5, 2024
  • .github Public
    HyperCells/.github’s past year of commit activity
    0 0 0 0 Updated Nov 18, 2024

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