Spin-flip scattering at quantum Hall transition

2009/11/18 by V. Kagalovsky, Kagalovsky, V., A. L. Chudnovskiy +1
Engineering · Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Magnetic Field Sensors Techniques #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum and electron transport phenomena #Surface and Thin Film Phenomena

paper · pdf · doi:10.48550/arxiv.0911.3574

openalex publication_date 2009/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We formulate a generalized Chalker--Coddington network model that describes the effect of nuclear spins on the two-dimensional electron gas in the quantum Hall regime. We find exact analytical expression for the transmission coefficient of a charged particle through a saddle point potential in presence of perpendicular magnetic field that takes into account spin-flip processes. Spin-flip scattering creates a metallic state in a finite range around the critical energy of quantum Hall transition. As a result we find that the usual insulating phases with Hall conductance σ_xy=0, 1, 2 are separated by novel metallic phases.

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