Magnetic Fingerprints of Fractal Spectra and Duality of Hofstadter Models

Details Magnetic Fingerprints of Fractal Spectra and Duality of Hofstadter Models Magnetic Fingerprints of Fractal Spectra and Duality of Hofstadter Models

2002-12-31

arxiv.org/abs/cond-mat/0212647v3

Physics

Condensed Matter

Statistical Mechanics

9 pages, 4 figures

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Magnetic Fingerprints of Fractal Spectra and Duality of Hofstadter Models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Magnetic Fingerprints of Fractal Spectra and Duality of Hofstadter Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Magnetic Fingerprints of Fractal Spectra and Duality of Hofstadter Models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-243390