English

Re-parameterization Invariance in Fractional Flux Periodicity

Mesoscale and Nanoscale Physics 2007-05-23 v2 Materials Science

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.

Keywords

Cite

@article{arxiv.cond-mat/0410002,
  title  = {Re-parameterization Invariance in Fractional Flux Periodicity},
  author = {Shuichi Murakami and Ken-ichi Sasaki and Riichiro Saito},
  journal= {arXiv preprint arXiv:cond-mat/0410002},
  year   = {2007}
}

Comments

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