Edge currents in the absence of edges

Pavel Exner Alain Joye H Kovak

TBD mathscidoc:1910.43109

Physics Letters A, 264, 124-130, 1999.12
We investigate a charged two-dimensional particle in a homogeneous magnetic field interacting with a periodic array of point obstacles. We show that while Landau levels remain to be infinitely degenerate eigenvalues, between them the system has bands of absolutely continuous spectrum and exhibits thus a transport along the array. We also compute the band functions and the corresponding probability current.
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@inproceedings{pavel1999edge,
  title={Edge currents in the absence of edges},
  author={Pavel Exner, Alain Joye, and H Kovak},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020130133577064638},
  booktitle={Physics Letters A},
  volume={264},
  pages={124-130},
  year={1999},
}
Pavel Exner, Alain Joye, and H Kovak. Edge currents in the absence of edges. 1999. Vol. 264. In Physics Letters A. pp.124-130. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020130133577064638.
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