English

Half-quantized Hall Plateaus in the Confined Geometry of Graphene

Mesoscale and Nanoscale Physics 2024-10-08 v1

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 νH=5/2\nu_H = 5/2 arising due to charge equilibration in the confined region of a quantum point contact in monolayer graphene.

Keywords

Cite

@article{arxiv.2410.03896,
  title  = {Half-quantized Hall Plateaus in the Confined Geometry of Graphene},
  author = {Preeti Pandey and Sourav Manna and Kristiana N. Frei and Jerin Saji and Anne Denis and Alexander Savin and Kenji Watanabe and Takashi Taniguchi and Pertti J. Hakonen and Ankur Das and Manohar Kumar},
  journal= {arXiv preprint arXiv:2410.03896},
  year   = {2024}
}

Comments

30 pages, 18 figures, and 2 tables