Non-equilibrium tunneling into general quantum Hall edge states

TL;DR

This paper develops a comprehensive theory for tunneling into general Abelian fractional quantum Hall edge states, identifying conductance fixed points and boundary conditions that determine transport properties and noise characteristics.

Contribution

It extends tunneling theory beyond Laughlin states to general Abelian quantum Hall edges, linking symmetries to boundary conditions and transport behavior.

Findings

Identified a unique large-$V$ conductance value for dissipationless transport.

Connected symmetries of edge states to boundary conditions and operator content.

Analyzed how boundary conditions influence current noise and strong-coupling behavior.

Abstract

In this paper we formulate the theory of tunneling into general Abelian fractional quantum Hall edge states. In contrast to the simple Laughlin states, a number of charge transfer processes must be accounted for. Nonetheless, it is possible to identify a unique value corresponding to dissipationless transport as the asymptotic large-$V$ conductance through a tunneling junction, and find fixed points (CFT boundary conditions) corresponding to this value. The symmetries of a given edge tunneling problem determine the appropriate boundary condition, and the boundary condition determines the strong-coupling operator content and current noise.