Re-examination of electronic transports through a quantum wire coupled to a quantum dot

TL;DR

This paper re-examines electronic transport in a quantum wire-quantum dot system using bosonization and phase shift methods, providing a simpler derivation of known results and natural insight into the system's critical fixed points.

Contribution

It introduces a simplified method to analyze quantum wire-dot transport and naturally captures the evolution to critical fixed points.

Findings

Re-derivation of known transport results

Natural description of system evolution to fixed points

Simplified analytical approach

Abstract

In this paper we re-examine the problem of electronic transports through a system consisting of a quantum dot which has well-defined discrete energy levels connected to an infinite quantum wire, using the bosonization method and phase shift representation, we show that all previously known results can be obtained through our method in a very simple way. Furthermore, the evolution of the system from ultraviolet to infrared critical fixed points appears naturally our method.