A(nother) Continuum Model for Dephasing in Mesoscopic Systems

TL;DR

This paper introduces a continuum dephasing model for mesoscopic systems, incorporating adjustable dephasing rates, and demonstrates its effects on conductance through numerical solutions of a delta scatterer model.

Contribution

It presents a novel continuum dephasing model with adjustable parameters, extending previous fictitious probe models for mesoscopic conductors.

Findings

Dephasing reduces conductance in the model.

The model's adjustable rate influences conductance behavior.

Numerical solutions illustrate dephasing effects on a delta scatterer.

Abstract

A dephasing model in the spirit of Buttiker's fictitious probe model where infinite probes are distributed uniformly over the conductor is proposed. The dephasing rate enters into the model as an adjustable parameter and to compute the conductance. A one-dimensional delta function scatterer model is solved numerically. We observe the dephasing effects on the calculated conductance.