QUANTUM HALL EFFECT OF HARD-CORE BOSONS

TL;DR

This paper investigates the quantum Hall effect in hard-core bosons, demonstrating it occurs only in the thermodynamic limit and identifying potential filling factors through adiabatic schemes.

Contribution

It introduces a mean-field inspired approach to analyze the quantum Hall effect in hard-core bosons and determines conditions for its occurrence.

Findings

QHE occurs only in the thermodynamic limit

Filling factors for QHE are identified using adiabatic schemes

The study extends understanding of bosonic quantum Hall phenomena

Abstract

Motivated by a mean-field approach, which has been employed for anyon superfluidity and the fractional quantum Hall effect, the quantum Hall effect (QHE) of hard-core bosons is investigated. It is shown that QHE is possible {\em only} in the thermodynamic limit. The filling factors where QHE may be expected are obtained with the help of two adiabatic schemes.