Motion of a quantum particle in a random-flux field

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1993 English Publisher:American Physical Society (APS)Journal:Physical Review B, volume 48, pages 3,835-3,839 (issn: 0163-1829, eissn: 1095-3795,

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Authors: , Lusakowski; , Turski;

doi: 10.1103/physrevb.48.3835

pmid: 10008832

Motion of a quantum particle in a random-flux field

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Abstract

We consider a charged spinless quantum particle moving on a two-dimensional square lattice. Each plaquette of the lattice is penetrated by a random magnetic flux with values homogeneously distributed in the interval (0, 2π) (in units of the elementary quantum flux h/e). The fluxes in different plaquettes are statistically independent. With the path integral method, within the saddle-point approximation, we evaluated the averaged density of states. Our results are compared with the recent numerical-simulation predictions of Pryor and Zee

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