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Guil Guerrero, Francisco
(2007)
*Electronic states on a lattice in periodic magnetic fields.*
Journal of mathematical physics, 48
(3).
ISSN 0022-2488

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Official URL: http://dx.doi.org/10.1063/1.2710199

## Abstract

The Hamiltonian for an electron in Z^2 , interacting with a perpendicular periodic magnetic field, is shown to be gauge equivalent to a periodic Hamiltonian. The wave function of the system is computed in terms of a ground state of the continuous motion in R2 for the Pauli Hamiltonian. Explicit expressions for the states, in both the Coulomb and Landau gauges, are considered.

Item Type: | Article |
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Additional Information: | ©2007 American Institute of Physics. |

Uncontrolled Keywords: | Bloch electrons; Flux phase; Modulation |

Subjects: | Sciences > Physics > Physics-Mathematical models Sciences > Physics > Mathematical physics |

ID Code: | 33068 |

Deposited On: | 10 Sep 2015 18:16 |

Last Modified: | 10 Dec 2018 15:09 |

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