Non-equilibrium Plasmons in a Quantum Wire Single Electron Transistor

TL;DR

This paper investigates non-equilibrium plasmon behavior in a quantum wire single electron transistor, revealing universal steady state occupations influenced by voltage and interactions, using a Luttinger liquid model and master equation approach.

Contribution

It introduces a model combining Luttinger liquids and master equations to analyze non-equilibrium plasmon states in a quantum wire transistor, highlighting universal occupation probabilities.

Findings

Steady state occupations depend only on state energies and system parameters.

Universal form of occupation probabilities in strongly interacting regimes.

Analysis of non-equilibrium plasmon dynamics in quantum wires.

Abstract

We analyze a single electron transistor composed of two semi-infinite one dimensional quantum wires and a relatively short segment between them. We describe each wire section by a Luttinger model, and treat tunneling events in the sequential approximation when the system's dynamics can be described by a master equation. We show that the steady state occupation probabilities in the strongly interacting regime depend only on the energies of the states and follow a universal form that depends on the source-drain voltage and the interaction strength.