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Electron hopping in the presence of random flux
Journal article   Peer reviewed

Electron hopping in the presence of random flux

Craig Pryor and A. Zee
Physical review. B, Condensed matter, Vol.46(5), pp.3116-3119
08/01/1992
DOI: 10.1103/PhysRevB.46.3116
PMID: 10004010

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Abstract

We calculate the distribution of single-particle states for a spinless electron hopping on a two-dimensional square lattice in the presence of random magnetic flux. The flux is taken to be uniformly random between 0 and 1 flux quantum, taking on either continuous or rational values. We consider nearest-neighbor and next-nearest-neighbor hopping. Compared with the density of states without flux, the allowed energies span a smaller range, and the distribution is relatively flat. If states are filled with noninteracting fermions, the random flux lowers the energy for a wide range of filling fractions and next-nearest-neighbor couplings. Examination of the wave functions shows that most of the states are extended with a tail of localized states near the band edge. © 1992 The American Physical Society.

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