Re-parameterization invariance in fractional flux periodicity

Shuichi Murakami, Ken Ichi Sasaki, Riichiro Saito

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


We analyze a common feature of a nontrivial fractional flux periodicity in two-dimensional systems. We demonstrate that an addition of fractional flux can be absorbed into re-parameterization of quantum numbers. For an exact fractional periodicity, all the electronic states undergo the re-parameterization, whereas for an approximate periodicity valid in a large system, only the states near the Fermi level are involved in the re-parameterization.

Original languageEnglish
Pages (from-to)3231-3234
Number of pages4
Journaljournal of the physical society of japan
Issue number12
Publication statusPublished - 2004 Dec


  • Aharonov-Bohm effect
  • Carbon nanotube
  • Fermi surface
  • Fractional flux periodicity
  • Persistent current

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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