Magnetic fingerprints of fractal spectra and the duality of Hofstadter models

被引：15

作者：

Gat, O ^{[1
]}

Avron, JE ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Phys, IL-32000 Haifa, Israel

来源：

NEW JOURNAL OF PHYSICS | 2003年 / 5卷

关键词：

D O I：

10.1088/1367-2630/5/1/344

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：44.1 / 44.8

页数：8

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