Universal Fluctuation of the Hall Conductance in the Random Magnetic Field

Abstract

We show that the RMS fluctuation of the antisymmetric part of the Hall conductance of a planar mesoscopic metal in a random magnetic field with zero average is universal, of the order of $e^2/h$, independent of the amplitude of the random magnetic field and the diffusion coefficient even in the weak field limit. This quantity is exactly zero in the case of ordinary scalar disorder. We propose an experiment to measure this surprising effect, and also discuss its implications on the localization physics of this system. Our result applies to some other systems with broken time-reversal ({\bf T}) symmetry.

4 pages, Revtex 3.0; added the paragraph regarding applicability to other systems with broken T-invariance, misc. minor changes

References in corpus (1)

• Magnetoresistance of a 2-dimensional electron gas in a random magnetic field

Cited by in corpus (4)

• Multiparticle ring exchange in the Wigner glass and its possible relevance to strongly interacting two-dimensional electron systems in the presence of disorder
• Classical Advection of Guiding Centers in a Random Magnetic Field
• A topological characterization of delocalization in a spin-orbit coupling system
• Anomalous mesoscopic kinetics in disordered superconductors