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Persistent currents due to point obstacles

Taksu Cheon Pavel Exner

TBD mathscidoc:1910.43223

Physics Letters A, 307, (4), 209-214, 2003.2
We discuss properties of the two-dimensional Landau Hamiltonian perturbed by a family of identical <i></i> potentials arranged equidistantly along a closed loop. It is demonstrated that for the loop size exceeding the effective size of the point obstacles and the cyclotronic radius such a system exhibits persistent currents at the bottom of the spectrum. We also show that the effect is sensitive to a small disorder.
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@inproceedings{taksu2003persistent,
  title={Persistent currents due to point obstacles},
  author={Taksu Cheon, and Pavel Exner},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020133820475443752},
  booktitle={Physics Letters A},
  volume={307},
  number={4},
  pages={209-214},
  year={2003},
}
Taksu Cheon, and Pavel Exner. Persistent currents due to point obstacles. 2003. Vol. 307. In Physics Letters A. pp.209-214. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020133820475443752.
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