Transport in finite incommensurate Peierls-Fr\"ohlich systems

TL;DR

This paper demonstrates that finite incommensurate Peierls-Fr"ohlich systems exhibit universal, unrenormalized conductance at low temperatures, primarily influenced by the leads, due to underlying chiral symmetry and finite-size effects.

Contribution

It introduces a formalism showing universal conductance in finite incommensurate CDW systems and suggests similar behavior in other strongly correlated one-dimensional systems.

Findings

Conductance remains unrenormalized at low temperatures.

Universal conductance depends only on the leads.

Finite size and adiabatic contacts are crucial for this behavior.

Abstract

We show that the conductance of a one-dimensional, finite charge-density-wave (CDW) system of the incommensurate type is not renormalized at low temperatures and depends solely on the leads. Within our formalism, we argue that a similar behavior (perfect conductance) should occur for a wide class of one-dimensional strongly correlated finite systems where interactions are current dependent. The universal conductance is related to the presence of an (anomalous) chiral symmetry. The fundamental role played by the finiteness of the sample and the adiabaticity of the contacts to Fermi-liquid leads is evidenced.