Half-quantized Hall Plateaus in the Confined Geometry of Graphene

TL;DR

This paper reports the observation of half-quantized Hall plateaus in monolayer graphene, revealing new fractional states that could host non-Abelian excitations, advancing the understanding of quantum Hall phenomena and potential quantum computing applications.

Contribution

It demonstrates the emergence of half-quantized Hall plateaus in graphene through charge equilibration in a quantum point contact, a novel mechanism for such states.

Findings

Observation of fractional state at ν_H=5/2 in graphene

Half-quantized plateaus arise from charge equilibration

Potential implications for topological quantum computing

Abstract

Since the ground-breaking discovery of the quantum Hall effect, half-quantized quantum Hall plateaus have been some of the most studied and sought-after states. Their importance stems not only from the fact that they transcend the composite fermion framework used to explain fractional quantum Hall states (such as Laughlin states). Crucially, they hold promise for hosting non-Abelian excitations, which are essential for developing topological qubits - key components for fault-tolerant quantum computing. In this work, we show that these coveted half-quantized plateaus can appear in more than one unexpected way. We report the observation of fractional states with conductance quantization at $\nu_H = 5/2$ arising due to charge equilibration in the confined region of a quantum point contact in monolayer graphene.