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arXiv 2004-09-30 DOI 10.1143/JPSJ.73.3231 0 views

Re-parameterization Invariance in Fractional Flux Periodicity

Murakami, Shuichi · Sasaki, Ken-ichi · Saito, Riichiro

Original · EN

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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