Mesoscopic density-operator in a uniform magnetic field

TL;DR

This paper develops a self-consistent linear-response theory for mesoscopic structures in magnetic fields, deriving a density operator that accounts for self-consistent effects and providing exact solutions in elastic scattering scenarios.

Contribution

It introduces a new density operator in the Landauer framework that incorporates self-consistent effects in magnetic fields, with exact solutions for the diagonal master equation.

Findings

Derived a density operator differing from Kubo's by a self-consistent term.

Obtained an exact solution for the diagonal master equation.

Highlighted the importance of self-consistent effects in mesoscopic transport.

Abstract

A self-consistent linear-response theory for a two-lead mesoscopic structure in Landauer's viewpoint for transport is developed. A density operator relevant in this viewpoint, in a uniform magnetic field is derived. It is shown that this operator differs from the one given in Kubo's viewpoint by a term that represents the self-consistent effects. Hence, a special emphasis is devoted to the diagonal master equation where an exact solution is obtained in the framework of elastic scattering theory.