Re-parameterization Invariance in Fractional Flux Periodicity

Details Re-parameterization Invariance in Fractional Flux Periodicity Re-parameterization Invariance in Fractional Flux Periodicity

2004-09-30

arxiv.org/abs/cond-mat/0410002v2

J. Phys. Soc. Jpn. 73, 3231 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 1 figure, minor changes, final version to appear in J. Phys. Soc. Jpn

Scientific paper

10.1143/JPSJ.73.3231

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.

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