Compressible Strips, Chiral Luttinger Liquids and All That Jazz

Details Compressible Strips, Chiral Luttinger Liquids and All That Jazz Compressible Strips, Chiral Luttinger Liquids and All That Jazz

1995-12-06

arxiv.org/abs/cond-mat/9512043v1

Physics

Condensed Matter

30 pages: 4 figures available on request

Scientific paper

When the quantum Hall effect occurs in a two-dimensional electron gas, all low-energy elementary excitations are localized near the system edge. The edge acts in many ways like a one-dimensional ring of electrons, except that a finite current flows around the ring in equilibrium. This article is a brief and informal review of some of the physics of quantum Hall system edges. We discuss the implications of macroscopic {\em compressible strip} models for microscopic {chiral Luttinger liquid} models and make an important distinction between the origin of non-Fermi-liquid behavior in fractional quantum Hall edges and in usual one-dimensional electron gas systems.

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