Edge state tunneling in a split Hall bar model
2006; Cambridge University Press; Linguagem: Inglês
ISSN
0003-0503
Autores Tópico(s)Magnetic properties of thin films
ResumoDepartment of Physics, The University of Texas, Austin, TX 78712(Dated: February 2, 2008)In this paper we introduce and study the correlation functions of a chiral one-dimensional electron modelintended 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 Hallbar and interactions between the edges on opposite sides of the barrier. We show that the scaling dimensionsof tunneling processes depend on the relative strengths of the interactions, with repulsive interactions acrossthe Hall bar tending to make breaks in the barrier irrelevant. The model can be solved analytically and ischaracterized by a difference between the dynamics of even and odd Fourier components. We address itsexperimental relevance by comparing its predictions with those of a more geometrically realistic model thatmust be solved numerically.
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