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Universality of equilibrium one-dimensional transport from gauge invariance

Anton Yu. Alekseev·Vadim V. Cheianov·Jurg Froehlich
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Abstract

In this letter we address the question how interactions affect the DC conductance of a one-dimensional electron system not necessarily adequately described by the Luttinger model. Using a Laughlin type argument, we show that gauge invariance protects the universal value of the conductance of $e^2/h$ per channel per spin orientation if the system possesses two conserved charges conjugate to the chemical potentials of the external reservoirs.

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Anton Yu. Alekseev, Vadim V. Cheianov, Jurg Froehlich. 1997-06-06. Universality of equilibrium one-dimensional transport from gauge invariance. https://arxiv.org/abs/cond-mat/9706061

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