Electronic states on a lattice in periodic magnetic fields



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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


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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©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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