Universality of equilibrium one-dimensional transport from gauge invariance

1997/06/06 by Anton Yu. Alekseev, Anton Alekseev, Vadim Cheianov +5
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Condensed matter physics #Conductance #FOS: Physical sciences #Gauge (firearms) #Gauge theory #High Energy Physics - Theory (hep-th) #Invariance principle #Materials science #Mathematical physics #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Molecular Junctions and Nanostructures #Philosophy #Physics #Quantum and electron transport phenomena #Quantum mechanics #Theoretical physics #Universality (dynamical systems) #cond-mat.mes-hall #hep-th

paper · pdf · doi:10.48550/arxiv.cond-mat/9706061

4pages, LaTeX

arxiv created 1997/06/06 · openalex publication_date 1997/06/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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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