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HofstadterTools

On the record

Assessment tools
Nohofstadter.tools · read 23 Sep 2026
Authoring tools
Nohofstadter.tools · read 23 Sep 2026
Band structure
The band_structure program evaluates the Hofstadter band structure at fixed flux density over a range of momenta.hofstadter.tools · read 9 Oct 2026
Band structure command
The band_structure program evaluates the band structure at a fixed rational flux density across a range of momenta.hofstadter.tools · read 9 Oct 2026
Butterfly coloring limitation
Butterfly coloring uses the Streda-Widom Diophantine relation and may sacrifice precision for efficiency, especially for non-rectangular lattices.hofstadter.tools · read 9 Oct 2026
Butterfly command
The butterfly program evaluates the energy spectrum at zero momentum across a range of rational flux densities.hofstadter.tools · read 9 Oct 2026
Butterfly spectrum
The butterfly program evaluates the energy spectrum at fixed momentum over a range of flux densities.hofstadter.tools · read 9 Oct 2026
Custom Hamiltonian performance
Constructing generalized Hofstadter Hamiltonians can be computationally expensive; common nearest-neighbor Hamiltonians are hardcoded for square, triangular, honeycomb, and kagome lattices.hofstadter.tools · read 9 Oct 2026
Custom lattice limit
Implementing custom lattices with more than one site per unit cell requires an advanced source installation.hofstadter.tools · read 9 Oct 2026
Custom lattice limitation
Implementing custom lattices with more than one site per unit cell requires installation from source.hofstadter.tools · read 9 Oct 2026
Delivery mode
desktophofstadter.tools · read 23 Sep 2026
Install methods
The package can be installed with pip or conda, or installed from source for advanced use.hofstadter.tools · read 9 Oct 2026
Integrations
The documentation lists pip and conda-forge as package installation channels.hofstadter.tools · read 9 Oct 2026
Lattice types
The documentation describes square, triangular, Bravais, honeycomb, and kagome lattice options.hofstadter.tools · read 9 Oct 2026
Lesson library
Nohofstadter.tools · read 23 Sep 2026
License
The GitHub repository identifies the project license as GPL-3.0.github.com · read 9 Oct 2026
Physics calculations
It computes generalized Hofstadter band structures on regular Euclidean lattices and properties including quantum geometry and topology.hofstadter.tools · read 9 Oct 2026
Purpose
HofstadterTools is a set of Python programs and classes for analyzing the Hofstadter model and computing band structure, quantum geometry, and topology.hofstadter.tools · read 9 Oct 2026

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