dc-Response of a Dissipative Driven Mesoscopic Ring

TL;DR

This paper investigates the dc current response in mesoscopic quantum rings with different structures under a time-varying magnetic flux, using non-equilibrium Green functions to analyze electron transport and inelastic scattering effects.

Contribution

It provides an exact theoretical analysis of dc current behavior in mesoscopic rings with various structures, incorporating inelastic scattering via reservoir coupling.

Findings

dc current depends on ring structure and disorder

inelastic scattering significantly affects transport properties

exact Green function approach enables detailed analysis

Abstract

The behavior of the dc-component of the current along a quantum loop of tight-binding electrons threaded by a magnetic flux that varies linearly in time Phi_M(t)= Phi t is investigated. We analize the electron transport in different kinds of one-dimensional structures bended into a ring geometry: a clean one-dimensional metal, a chain with a two-band structure and a disordered chain. Inelastic scattering events are introduced through the coupling to a particle reservoir. We use a theoretical treatment based in Baym-Kadanoff-Keldysh non-equilibrium Green functions, which allows us to solve the problem exactly.