Berry phase, hyperorbits, and the Hofstadter spectrum

Ming Che Chang*, Qian Niu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

223 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1348-1351
Number of pages4
JournalPhysical Review Letters
Issue number7
Publication statusPublished - 1995
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


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