HofstadterTools

Spec sheet

Purpose

HofstadterTools is a set of Python programs and classes for analyzing the Hofstadter model and computing band structure, quantum geometry, and topology.Read 9 Oct 2026 · hofstadter.tools

Free plan

YesRead 23 Sep 2026 · hofstadter.tools

Integrations

The documentation lists pip and conda-forge as package installation channels.Read 9 Oct 2026 · hofstadter.tools

Security

The opened project pages provide no security or compliance claims.Read 9 Oct 2026 · hofstadter.tools

Support

For support, the maintainers direct users to start a GitHub discussion; issues can be reported through GitHub, and other inquiries can be sent to Bart Andrews.Read 9 Oct 2026 · hofstadter.tools

License

The GitHub repository identifies the project license as GPL-3.0.Read 9 Oct 2026 · github.com

3D visuals

NoRead 23 Sep 2026 · hofstadter.tools

Assessment tools

NoRead 23 Sep 2026 · hofstadter.tools

Authoring tools

NoRead 23 Sep 2026 · hofstadter.tools

Band structure

The band_structure program evaluates the Hofstadter band structure at fixed flux density over a range of momenta.Read 9 Oct 2026 · hofstadter.tools

Band structure command

The band_structure program evaluates the band structure at a fixed rational flux density across a range of momenta.Read 9 Oct 2026 · hofstadter.tools

Butterfly coloring limitation

Butterfly coloring uses the Streda-Widom Diophantine relation and may sacrifice precision for efficiency, especially for non-rectangular lattices.Read 9 Oct 2026 · hofstadter.tools

Butterfly command

The butterfly program evaluates the energy spectrum at zero momentum across a range of rational flux densities.Read 9 Oct 2026 · hofstadter.tools

Butterfly spectrum

The butterfly program evaluates the energy spectrum at fixed momentum over a range of flux densities.Read 9 Oct 2026 · hofstadter.tools

Custom Hamiltonian performance

Constructing generalized Hofstadter Hamiltonians can be computationally expensive; common nearest-neighbor Hamiltonians are hardcoded for square, triangular, honeycomb, and kagome lattices.Read 9 Oct 2026 · hofstadter.tools

Custom lattice limit

Implementing custom lattices with more than one site per unit cell requires an advanced source installation.Read 9 Oct 2026 · hofstadter.tools

Custom lattice limitation

Implementing custom lattices with more than one site per unit cell requires installation from source.Read 9 Oct 2026 · hofstadter.tools

Delivery mode

desktopRead 23 Sep 2026 · hofstadter.tools

Install methods

The package can be installed with pip or conda, or installed from source for advanced use.Read 9 Oct 2026 · hofstadter.tools

Lattice types

The documentation describes square, triangular, Bravais, honeycomb, and kagome lattice options.Read 9 Oct 2026 · hofstadter.tools

Lesson library

NoRead 23 Sep 2026 · hofstadter.tools

Physics calculations

It computes generalized Hofstadter band structures on regular Euclidean lattices and properties including quantum geometry and topology.Read 9 Oct 2026 · hofstadter.tools

Python requirement

The package is designed to work with Python 3.9 or later.Read 9 Oct 2026 · hofstadter.tools

Saved data plotting

The plot_band_structure and plot_butterfly programs can replot band structures and butterfly spectra saved to file.Read 9 Oct 2026 · hofstadter.tools

Security and compliance

The opened documentation pages do not state security or compliance commitments.Read 9 Oct 2026 · hofstadter.tools

Supported lattices

The documentation includes examples for square, triangular, Bravais, honeycomb, and kagome lattices.Read 9 Oct 2026 · hofstadter.tools

Topology and geometry

Band-structure topology and quantum-geometry computations are off by default for speed and can be enabled with command-line flags.Read 9 Oct 2026 · hofstadter.tools

Topology and geometry options

Topology and quantum-geometry calculations are off by default in band_structure for speed and can be enabled with command-line flags.Read 9 Oct 2026 · hofstadter.tools

Where Specifiction places it

• Physics Simulation Software#77 of 897.0