Hofstadter Butterfly Fractal: Theoretical Framework and Mathematical Models

A 156.2 KB PDF article by Indubala I. Satija, published on figshare in April 2026. The text explores the Hofstadter butterfly fractal, a model for electron energy spectra in magnetic fields, linking condensed matter physics, topology, and number theory.

Use Cases

• Studying the fractal energy spectrum of electrons in a 2D lattice under a magnetic field based on the described theoretical framework.
• Analyzing the connection between topological quantum numbers and Hall conductivity quanta as discussed in the article.
• Exploring mathematical constructs like the Farey tree and Apollonian gaskets in the context of quantum physics models.
• Reviewing the application of unimodular matrices with integer coefficients for modeling quantum systems.

Strengths

• Article is openly licensed under CC-BY-4.0.
• File size is 156.2 KB, making it quick to download and review.

Limitations

• The resource is a single PDF article, not a dataset of numerical or experimental data.
• Row count and column-level documentation are absent; the content is purely theoretical text.
• Description metadata is limited; actual data quality requires manual inspection after download.

Provenance

Source

figshare

Collection Method

Authored theoretical article.

Freshness

Last updated 2026-04-14 04:19:41; freshness should be verified.