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How universal is the fractional-quantum-Hall edge Luttinger liquid?

2001/03/30 by Sudhansu S. Mandal, J. K. Jain, J.K. Jain · 2 citations
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1016/s0038-1098(01)00156-9

published as Solid State Commun., 118 (2001) 503 · 5 pages

arxiv created 2001/03/30 · openalex publication_date 2001/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

This article reports on our microscopic investigations of the edge of the fractional quantum Hall state at filling factor ν=1/3. We show that the interaction dependence of the wave function is well described in an approximation that includes mixing with higher composite-fermion Landau levels in the lowest order. We then proceed to calculate the equal time edge Green function, which provides evidence that the Luttinger exponent characterizing the decay of the Green function at long distances is interaction dependent. The relevance of this result to tunneling experiments is discussed.

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