Identification of topological order in the fractional quantum Hall state at $\nu =1/4$

Abstract

The nature of the fractional quantum Hall state at quarter filling in a wide quantum well is still under debate. Both one-component non-Abelian and two-component Abelian orders have been proposed to describe the system. Interestingly, these candidates received support from different experiments under disparate conditions. In this article, we focus on non-Abelian orders from Cooper pairing between composite fermions and the Abelian Halperin-(5,5,3) order. We discuss and predict systematically different experimental signatures to identify them in future experiment. In particular, we address the Mach-Zehnder interferometry experiment and show that it can identify the recently proposed 22111 parton order.

arXiv commentaccepted version

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Cited by in corpus (6)

• Fractional charge and fractional statistics in the quantum Hall effects
• Fractional quantum Hall effect with unconventional pairing in monolayer graphene
• Bardeen-Cooper-Schrieffer pairing of composite fermions
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Unlocking new regimes in fractional quantum Hall effect with quaternions
• Very high-energy collective states of partons in fractional quantum Hall liquids