Magnetic fingerprints of fractal spectra and the duality of Hofstadter models

O. Gat*, J. E. Avron

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We study the de Haas-van Alphen oscillations in the magnetization of the Hofstadter model. Near a split band the magnetization is a rapidly oscillating function of the Fermi energy with lip-shaped envelopes. For generic magnetic fields this structure appears on all scales and provides a thermodynamic fingerprint of the fractal properties of the model. The analysis applies equally well to the two dual interpretations of the Hofstadter model and the nature of the duality transformation is elucidated.

Original languageEnglish
Pages (from-to)44.1-44.8
JournalNew Journal of Physics
Volume5
DOIs
StatePublished - 12 May 2003
Externally publishedYes

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