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Universality of equilibrium one-dimensional transport from gauge invariance

Anton Yu. Alekseev, Vadim V. Cheianov, Jurg Froehlich

cond-mat.mes-hallarXiv:cond-mat/9706061

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 e2/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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