Electron Localization in a 2D System with Random Magnetic Flux

Abstract

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.

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

References in corpus (5)

• A Unified Model for Two Localisation Problems: Electron States in Spin-Degenerate Landau Levels, and in a Random Magnetic Field
• Localization of Charged Quantum Particles in a Static Random Magnetic Field
• Effective Field Theory of Electron Motion in the Presence of Random Magnetic Flux
• Corrections to Scaling in the Integer Quantum Hall Effect
• Universal Scaling of Strong-Field Localization in an Integer Quantum Hall Liquid

Cited by in corpus (19)

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• The enigma of the nu=0 quantum Hall effect in graphene
• Transition from metal to higher-order topological insulator driven by random flux
• Field Theory of the Random Flux Model
• Effect of Long Range Disorder on Electron Motion in Two Dimensions
• Localization length in a random magnetic field
• On a Network Model of Localization in a Random Magnetic Field
• Synthetic Random Flux Model in a periodically-driven optical lattice
• Hidden degree of freedom and critical states in a two-dimensional electron gas in the presence of a random magnetic field
• Spin and orbital effects in a 2D electron gas in a random magnetic field
• Ballistic electron motion in a random magnetic field
• In-plane Magnetic Field Induced Kosterlitz-Thouless Type Metal Insulator Transition in Coupled Double Quantum Wells
• Disordered cold atoms in different symmetry classes
• Spinless particle in rapidly fluctuating random magnetic field
• Fermions in an anisotropic random magnetic field