2009/11/18 by V. Kagalovsky, Kagalovsky, V., A. L. Chudnovskiy +1
Engineering · Physics and Astronomy · #Condensed matter physics #Disordered Systems and Neural Networks (cond-mat.dis-nn) #Electron #FOS: Physical sciences #Magnetic Field Sensors Techniques #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Physics #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum spin Hall effect #Scattering #Spin (aerodynamics) #Spin-flip #Surface and Thin Film Phenomena #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.48550/arxiv.0911.3574
published in arXiv (Cornell University) (Cornell University) · 4 pages, 2 figures
arxiv created 2009/11/18 · openalex publication_date 2009/11/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 σxy=0, 1, 2 are separated by novel metallic phases.