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Scaling behavior in a quantum wire with scatterers

D. Boese·M. Lischka·L. E. Reichl
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Abstract

We study the conductance properties of a straight two-dimensional quantum wire with impurities modeled by $s$-like scatterers. Their presence can lead to strong inter-channel coupling. It was shown that such systems depend sensitively on the number of transverse modes included. Based on a poor man's scaling technique we include the effect of higher modes in a renormalized coupling constant. We therefore show that the low-energy behavior of the wire is dominated by only a few modes, which hence is a way to reduce the necessary computing power. The technique is successfully applied to the case of one and two $s$-like scatterers.

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D. Boese, M. Lischka, L. E. Reichl. 2000-09-25. Scaling behavior in a quantum wire with scatterers. https://doi.org/10.1103/physrevb.62.16933

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