Spin-flip scattering at quantum Hall transition

V. Kagalovsky; A. L. Chudnovskiy

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arXiv · 0911.3574

Spin-flip scattering at quantum Hall transition

V. Kagalovsky·A. L. Chudnovskiy

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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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BibTeX RIS

V. Kagalovsky, A. L. Chudnovskiy. 2009-11-18. Spin-flip scattering at quantum Hall transition. https://arxiv.org/abs/0911.3574

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