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Friedel Sum Rule for single channel quantum wire

Swarnali Bandopadhyay·P. Singha Deo
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Abstract

Elastic scattering in a quantum wire has several novel features not seen in 1D, 2D or 3D. In this work we consider a single channel quantum wire as its application is inevitable in making devices based on quantum interference effects. We consider a point defect or a single delta function impurity in such a wire and show how some of these novel features affect Friedel-sum-rule (FSR) in a way, that is quite unlike in 1D, 2D and 3D.

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Swarnali Bandopadhyay, P. Singha Deo. 2003-05-21. Friedel Sum Rule for single channel quantum wire. https://doi.org/10.1103/physrevb.68.113301

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