Localization of Charged Quantum Particles in a Static Random Magnetic Field

Details Localization of Charged Quantum Particles in a Static Random Magnetic Field Localization of Charged Quantum Particles in a Static Random Magnetic Field

1994-04-21

arxiv.org/abs/cond-mat/9404070v1

Physics

Condensed Matter

REVTEX, 12 pages, 1 figure attached as a postscript file. To appear in Phys.Rev.B

Scientific paper

10.1103/PhysRevB.49.16609

We consider a charged quantum particle in a random magnetic field with Gaussian, delta-correlated statistics. We show that although the single particle properties are peculiar, two particle quantities such as the diffusion constant can be calculated in perturbation theory. We map the problem onto a non-linear sigma-model for Q-matrices of unitary symmetry with renormalized diffusion coefficient for which all states are known to be localized in $d=2$ dimensions. Our results compare well with recent numerical data.

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