Electron Localization in a 2D System with Random Magnetic Flux

Details Electron Localization in a 2D System with Random Magnetic Flux Electron Localization in a 2D System with Random Magnetic Flux

1994-09-08

arxiv.org/abs/cond-mat/9409033v1

Physics

Condensed Matter

4 pages, RevTex 3.0, 5 figures(PS files available upon request), #phd11

Scientific paper

10.1103/PhysRevB.52.5858

Using a finite-size scaling method, we calculate the localization properties of a disordered two-dimensional electron system in the presence of a random magnetic field. Below a critical energy $E_c$ all states are localized and the localization length $\xi$ diverges when the Fermi energy approaches the critical energy, {\it i.e.} $\xi(E)\propto |E-E_c|^{-\nu}$. We find that $E_c$ shifts with the strength of the disorder and the amplitude of the random magnetic field while the critical exponent ($\nu\approx 4.8$) remains unchanged indicating universality in this system. Implications on the experiment in half-filling fractional quantum Hall system are also discussed.

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