The conductance of interacting nano-wires

TL;DR

This paper investigates the conductance of interacting nano-wires connected to non-interacting leads using advanced many-body techniques, demonstrating that conductance can be inferred from persistent current even in interacting systems.

Contribution

It introduces a combined approach using Green functions and persistent current relations to evaluate conductance in interacting nano-wires, validating the method for such systems.

Findings

Persistent current method applies to interacting systems

Conductance calculations agree with Green function results

Method extends non-interacting conductance concepts to interactions

Abstract

The conductance of one-dimensional nano-wires of interacting electrons connected to non-interacting leads is calculated in the linear response regime. Two different approaches are used: a many-body Green function technique and a relation to the persistent current recently proposed based on results of the non-interacting case. The conductance is evaluated using the functional renormalization group method and the density matrix renormalization group algorithm. Our results give a strong indication that the idea of obtaining the conductance from the persistent current holds for interacting systems.