Edge State Tunneling in a Split Hall Bar Model

Details Edge State Tunneling in a Split Hall Bar Model Edge State Tunneling in a Split Hall Bar Model

2005-01-31

arxiv.org/abs/cond-mat/0501761v2

Phys. Rev. B 72, 045324 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

13 pages, including 4 figures,final version as published

Scientific paper

10.1103/PhysRevB.72.045324

In this paper 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.

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