Can Majorana zero modes in quantum Hall edges survive edge reconstruction?

2023/08/03 by K. Iyer, Iyer, Kishore, Amulya Ratnakar +5
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Topological Materials and Phenomena

paper · pdf · doi:10.48550/arxiv.2308.01980

openalex publication_date 2023/08/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Parafermion zero modes can be trapped in the domain walls of quantum Hall edges proximitized by superconductors and ferromagnets. The ν= 1/3 fractional quantum Hall side strip arising due to edge reconstruction of a ν= 1 edge doubles the number of topological sectors such that each of them is Z₂ × Z₂ degenerate. The many-body spectrum displays a 4π Josephson periodicity, with the states in each Z₂ being energetically decoupled. Signatures of the new states appear in the fractional Josephson current when the edge velocities are taken to be different.

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