• DOI:10.1088/0305-4470/39/6/011
Corpus ID: 14228107

Zero modes in a system of Aharonov–Bohm solenoids on the Lobachevsky plane

@article{Geyler2006ZeroMI,
  title={Zero modes in a system of Aharonov–Bohm solenoids on the Lobachevsky plane},
  author={V. Geyler and P. {\vS}ťov́ı{\vc}ek},
  journal={Journal of Physics A},
  year={2006},
  volume={39},
  pages={1375-1384}
}

V. Geyler, P. Šťov́ıček

Published 2006

Physics, Mathematics

Journal of Physics A

We consider a spin 1/2 charged particle on the Lobachevsky plane subjected to a magnetic field corresponding to a discrete system of Aharonov–Bohm solenoids. Let H+ and H− be the two components of the Pauli operator for spin-up and -down, respectively. We show that neither H+ nor H− has a zero mode if the number of solenoids is finite. On the other hand, a construction is described of an infinite periodic system of solenoids for which either H+ or H− has zero modes depending on the value of the… CONTINUE READING

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