Nonequilibrium functional bosonization of quantum wire networks

TL;DR

This paper introduces a nonequilibrium functional bosonization framework for analyzing quantum wire networks, enabling the study of tunneling and interference effects in one-dimensional nanostructures.

Contribution

It develops a novel nonequilibrium bosonization approach using Keldysh action and instanton methods, applied to quantum wire networks with tunneling and impurity scattering.

Findings

Analyzed tunneling into biased Luttinger liquids with impurities.

Studied quantum-Hall Fabry-Perot interferometry.

Provided a formalism for nonequilibrium transport in 1D systems.

Abstract

We develop a general approach to nonequilibrium nanostructures formed by one-dimensional channels coupled by tunnel junctions and/or by impurity scattering. The formalism is based on nonequilibrium version of functional bosonization. A central role in this approach is played by the Keldysh action that has a form reminiscent of the theory of full counting statistics. To proceed with evaluation of physical observables, we assume the weak-tunneling regime and develop a real-time instanton method. A detailed exposition of the formalism is supplemented by two important applications: (i) tunneling into a biased Luttinger liquid with an impurity, and (ii) quantum-Hall Fabry-Perot interferometry.