Non-Abelian Two-component Fractional Quantum Hall States

TL;DR

This paper classifies non-Abelian two-component fractional quantum Hall states using the pattern-of-zeros approach and explores their potential experimental realization in bilayer systems at various filling factors.

Contribution

It extends the pattern-of-zeros classification to multilayer FQH states, constructing new non-Abelian two-component states and analyzing their experimental feasibility.

Findings

Identified simple non-Abelian two-component FQH states

Proposed experimental realization in bilayer systems at specific filling factors

Extended classification framework for multilayer FQH states

Abstract

A large class of fractional quantum Hall (FQH) states can be classified according to their pattern of zeros, which describes the order of zeros in ground state wave functions as various clusters of electrons are brought together. The pattern-of-zeros approach can be generalized to systematically classify multilayer/spin-unpolarized FQH states, which has led to the construction of a class of non-Abelian multicomponent FQH states. Here we discuss some of the simplest non-Abelian two-component states that we find and the possibility of their experimental realization in bilayer systems at $\nu = 2/3$, 4/5, 4/7, 4/9, 1/4, etc.