2005/01/31 by Emiliano Papa, A. H. MacDonald, Allan H. Macdonald · 18 citations
Mathematics · Physics and Astronomy · #Bar (unit) #Computer science #Condensed matter physics #Enhanced Data Rates for GSM Evolution #Fourier transform #Geometry #Magnetic properties of thin films #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Quantum tunnelling #Scaling #Statistical physics #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.72.045324
published in Physical Review B 72(4) (American Physical Society) · 13 pages, including 4 figures,final version as published
openalex publication_date 2005/07/14 · arxiv created 2007/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We introduce and study the correlation functions of a chiral one-dimensional electron model intended to qualitatively represent narrow Hall bars separated into left and right sections by a penetrable barrier. The model has two parameters representing, respectively, interactions between top and bottom edges of the Hall bar and interactions between the edges on opposite sides of the barrier. We show that the scaling dimensions of tunneling processes depend on the relative strengths of the interactions, with repulsive interactions across the Hall bar tending to make breaks in the barrier irrelevant. The model can be solved analytically and is characterized by a difference between the dynamics of even and odd Fourier components. We address its experimental relevance by comparing its predictions with those of a more geometrically realistic model that must be solved numerically.