Non-equilibrium current via geometric scatterers

TL;DR

This paper studies how particles flow through a geometric scatterer connected to heat baths with different chemical potentials, deriving formulas and analyzing how the shape affects the current.

Contribution

It introduces a new theoretical framework for non-equilibrium current in systems with geometric scatterers and provides numerical analysis for different shapes.

Findings

Current depends on scatterer shape and system parameters.

Rectangular and triangular scatterers show distinct transport behaviors.

Derived explicit formulas for non-equilibrium current.

Abstract

We investigate non-equilibrium particle transport in the system consisting of a geometric scatterer and two leads coupled to heat baths with different chemical potentials. We derive expression for the corresponding current the carriers of which are fermions and analyze numerically its dependence of the model parameters in examples, where the scatterer has a rectangular or triangular shape.