1993/12/02 by Shou-Cheng Zhang, Shoucheng Zhang, Daniel P. Arovas +1 · 2 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.1103/physrevlett.72.1886
10, RevTex, Stanford preprint
arxiv created 1993/12/02 · openalex publication_date 1994/03/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We construct a nonlinear \ensuremathσ model to describe a system of noninteracting electrons propagating in the presence of random magnetic flux. We find a term describing the long range logarithmic interaction between the topological density of the nonlinear sigma model, and argue that this could give rise to a Kosterlitz-Thouless transition from the localized phase to a phase with power law correlations and continuously varying conductances. We provide a physical interpretation of our results in terms of the scattering of edge states of the magnetic domains in different regions.