Universal Transverse Conductance between Quantum Hall Regions and (2+1)D Bosonization

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.

29 pages, RevTex, Final version to appear in Nuclear Physics B

References in corpus (5)

• Universality of transport properties in equilibrium, Goldstone theorem and chiral anomaly
• On three dimensional bosonization
• Topological and Universal Aspects of Bosonized Interacting Fermionic Systems in (2+1)d
• Three dimensional fermionic determinants, Chern-Simons and nonlinear field redefinitions
• Transport in finite incommensurate Peierls-Fröhlich systems

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• Bosonization and Duality in Arbitrary Dimensions: New Results
• Bosonization and effective vector-field theory of the fractional quantum Hall effect
• Functional Bosonization of Non-Relativistic Fermions in $(2+1)$ Dimensions
• Vortex Correlation Functions in Maxwell-Chern-Simons Models
• The point-splitting regularization of (2+1)d parity breaking models
• Dual description of U(1) charged fields in (2+1) dimensions
• Bosonization and Duality Aspects in Superfluids and Superconductors
• String Breaking and Z(2) Local Symmetry in the 3D Georgi-Glashow model
• Universal Landauer conductance in chiral symmetric 2d systems
• Long range interactions and the 3D asymptotic fermion spectrum