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Universal transverse conductance between quantum Hall regions and (2+1) D bosonization

2000/01/31 by Daniel G. Barci, Luis E. Oxman, L. E. Oxman
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Bosonization #Conductance #Current (fluid) #Quantum #Quantum and electron transport phenomena #Topological Materials and Phenomena #Transverse plane #Universality (dynamical systems) #cond-mat.mes-hall #hep-th

paper · pdf · doi:10.1016/s0550-3213(00)00272-8

published as Nucl.Phys. B580 (2000) 721-738 · 29 pages, RevTex, Final version to appear in Nuclear Physics B

arxiv created 2000/06/02 · openalex publication_date 2000/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Using bosonization techniques for (2+1)D systems, we show that the transverse conductance for a system with general current interactions, when measured between perfect Hall regions is not renormalized at low temperatures. Our method extends and combines two results we have recently obtained on low dimensional fermionic systems: on the one hand, the relationship between universality of Landauer conductance and universality of bosonization rules for (1+1)D systems, and on the other hand, the universal character of the bosonized topological current associated to a (2+1)D fermionic system with current interaction.

Citations