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

Computed the tight-binding spectrum of a crystal electron in a uniform magnetic field and exposed a recursively structured spectrum controlled by magnetic flux per lattice cell.

What is recorded here?

Computed the tight-binding spectrum of a crystal electron in a uniform magnetic field and exposed a recursively structured spectrum controlled by magnetic flux per lattice cell.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

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.

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People and systems

Douglas R. Hofstadter

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

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Documented countries / regions: United States

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English catalogue narrative

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

Computed the tight-binding spectrum of a crystal electron in a uniform magnetic field and exposed a recursively structured spectrum controlled by 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.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

Douglas R. Hofstadter

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

Original sources