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Universal transverse conductance between quantum Hall regions and (2+1) D bosonization |
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| Authors: | Daniel G Barci Luis E Oxman |
| Institution: | a Department of Physics, University of Illinois at Urbana-Champaign, 1110 W. Green St., Urbana, IL 61801-3080, USA b Departamento de Física Teórica, Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, 20550-013 Rio de Janeiro, RJ, Brazil c Departamento de Física, Pontíficia Universidade Católica do Rio de Janeiro, Cx. Postal 38071, 22452-970, Rio de Janeiro, RJ, Brazil |
| 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 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 interactions. |
| Keywords: | Path integral bosonization Universal transport properties Quantum Hall effect |
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