Re-parameterization Invariance in Fractional Flux Periodicity

Shuichi Murakami; Ken-ichi Sasaki; Riichiro Saito

doi:10.1143/jpsj.73.3231

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Re-parameterization Invariance in Fractional Flux Periodicity

Shuichi Murakami·Ken-ichi Sasaki·Riichiro Saito

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Abstract

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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Shuichi Murakami, Ken-ichi Sasaki, Riichiro Saito. 2004-10-25. Re-parameterization Invariance in Fractional Flux Periodicity. https://doi.org/10.1143/jpsj.73.3231

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