Spontaneous fractional Josephson current from parafermions

Spontaneous fractional Josephson current from parafermions

We study a parafermion Josephson junction (JJ) comprising a pair of counter-propagating edge modes of two quantum Hall (QH) systems, proximitized by an s-wave superconductor. We show that the difference between the lengths (which can be controlled by external gates) of the two counter-propagating ch...

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Veröffentlicht in:arXiv.org 2022-08
Hauptverfasser: Iyer, Kishore, Ratnakar, Amulya, Mukhopadyaya, Aabir, Rao, Sumathi, Das, Sourin
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Josephson junctions
Physics - Mesoscale and Nanoscale Physics
Propagation modes
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Ratnakar, Amulya
Mukhopadyaya, Aabir
Rao, Sumathi
Das, Sourin
description We study a parafermion Josephson junction (JJ) comprising a pair of counter-propagating edge modes of two quantum Hall (QH) systems, proximitized by an s-wave superconductor. We show that the difference between the lengths (which can be controlled by external gates) of the two counter-propagating chiral edges at the Josephson junction, can act as a source of spontaneous phase bias. For the Laughlin filling fractions, \(\nu = 1/m,~ m \in 2\mathbb{Z}+1\), this leads to an electrical control of either Majorana \((m=1)\) or parafermion \((m\neq 1)\) zero modes.
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subjects Josephson junctions
Physics - Mesoscale and Nanoscale Physics
Propagation modes
title Spontaneous fractional Josephson current from parafermions
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