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Hofstadter: Bloch-electron spectrum in rational and irrational magnetic fields

Contribution grade

Condensed matter physics · THEORY

Reference score170,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Computed and visualized the self-similar single-band spectrum against magnetic flux per lattice cell.

Scientific scope

The record is Hofstadter's sole-author 1976 Physical Review B paper and its single-band model. It does not absorb earlier magnetic-band work, later experimental observations, quantum Hall measurements or every model now called a Hofstadter butterfly.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is Hofstadter's sole-author 1976 Physical Review B paper and its single-band model. It does not absorb earlier magnetic-band work, later experimental observations, quantum Hall measurements or every model now called a Hofstadter butterfly.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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