Tao-Thouless Revisited

TL;DR

This paper reviews the Tao-Thouless state in the fractional quantum Hall effect, discussing its history, generalizations, and limitations, including quasiparticle statistics and challenges in calculating exchange statistics.

Contribution

It provides a comprehensive review of the Tao-Thouless state, its relation to Laughlin's state, and analyzes quasiparticle exclusion statistics and associated difficulties.

Findings

Tao-Thouless state is the ground state in the limit and connected to Laughlin's state

Calculated quasiparticle exclusion statistics in the Tao-Thouless limit

Identified difficulties in computing fractional exchange statistics in this limit

Abstract

It is now established that the state proposed by Tao and Thouless for the fractional quantum Hall effect in 1983, shortly after Laughlin's work, is the ground state in the so-called Tao-Thouless limit, and that it is adiabatically connected to the Laughlin state. We review the interesting history of the Tao-Thouless state, and its generalizations, and discuss its relevance and shortcomings. In particular, we calculate the exclusion statistics of quasiparticles in the Tao-Thouless limit and point out a principal difficulty which prevents calculation of the fractional exchange statistics in this limit.