Berry phase, hyperorbits, and the Hofstadter spectrum

Ming Che Chang*, Qian Niu

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

163 引文 斯高帕斯(Scopus)

摘要

We develop a semiclassical theory for the dynamics of electrons in a magnetic Bloch band, where the Berry phase plays an important role. This theory, together with the Boltzmann equation, provides a framework for studying transport problems in high magnetic fields. We also derive an Onsager-like formula for the quantization of cyclotron orbits, and we find a connection between the number of orbits and Hall conductivity. This connection is employed to explain the clustering structure of the Hofstadter spectrum. The advantage of this theory is its generality and conceptual simplicity.

原文英語
頁(從 - 到)1348-1351
頁數4
期刊Physical Review Letters
75
發行號7
DOIs
出版狀態已發佈 - 1995
對外發佈

ASJC Scopus subject areas

  • 物理與天文學 (全部)

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