Magnetic Fingerprints of Fractal Spectra and Duality of Hofstadter Models

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dc.creatorGat, O.
dc.creatorAvron, J. E.
dc.date2002-12-31
dc.date2003-04-13
dc.date.accessioned2026-07-07T02:48:58Z
dc.date.available2026-07-07T02:48:58Z
dc.descriptionWe 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.
dc.description9 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0212647
dc.identifierhttp://arxiv.org/abs/cond-mat/0212647
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/20615
dc.subjectStatistical Mechanics
dc.subjectMesoscale and Nanoscale Physics
dc.subjectMathematical Physics
dc.titleMagnetic Fingerprints of Fractal Spectra and Duality of Hofstadter Models
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