Scattering approach to current and noise in interacting mesoscopic systems

TL;DR

This paper extends the Landauer-Buttiker scattering theory to account for interactions in mesoscopic systems, providing new formulas for current and noise, and applies them to a double-barrier tunneling structure.

Contribution

It introduces a novel extension of scattering theory that incorporates interactions, unifying current calculations and deriving a new noise expression.

Findings

Current expression matches previous methods

Derived a new general noise formula

Applied theory to double-barrier tunneling

Abstract

We propose an extension of the Landauer-Buttiker scattering theory to include effects of interaction in the active region of a mesoscopic conductor structure. The current expression obtained coincides with those derived by different methods. A new general expression for the noise is also established. These expressions are then discussed in the case of strongly sequential tunneling through a double-barrier resonant tunneling structure.