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arXiv · 2308.01980

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

Kishore Iyer·Amulya Ratnakar·Sumathi Rao·Sourin Das
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Abstract

Parafermion zero modes can be trapped in the domain walls of quantum Hall edges proximitized by superconductors and ferromagnets. The $\nu = 1/3$ fractional quantum Hall side strip arising due to edge reconstruction of a $\nu = 1$ edge doubles the number of topological sectors such that each of them is $Z_{2} \times Z_{2}$ degenerate. The many-body spectrum displays a $4\pi$ Josephson periodicity, with the states in each $Z_{2}$ 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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Kishore Iyer, Amulya Ratnakar, Sumathi Rao, Sourin Das. 2023-08-03. Can Majorana zero modes in quantum Hall edges survive edge reconstruction?. https://doi.org/10.1103/physrevb.110.l161302

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