Nondissipative Drag Conductance as a Topological Quantum Number

TL;DR

This paper demonstrates that the nondissipative drag conductance in coupled mesoscopic rings is a topological invariant, characterized by a Chern number, with significant implications for understanding topological properties in quantum systems.

Contribution

It introduces the concept that the boundary condition averaged nondissipative drag conductance is a topological invariant, linking it to Chern numbers in mesoscopic quantum rings.

Findings

Drag conductance is a topological invariant.

Characterized by a Chern integer.

Implications for topological quantum systems.

Abstract

We show in this paper that the boundary condition averaged nondissipative drag conductance of two coupled mesoscopic rings with no tunneling, evaluated in a particular many-particle eigenstate, is a topological invariant characterized by a Chern integer. Physical implications of this observation are discussed.