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Pré-Publication, Document De Travail Année : 2022

Spontaneous fractional Josephson current from parafermions

Amulya Ratnakar
  • Fonction : Auteur
Aabir Mukhopadyay
  • Fonction : Auteur
Sumathi Rao
  • Fonction : Auteur
Sourin Das
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-03764437 , version 1 (30-08-2022)

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Kishore Iyer, Amulya Ratnakar, Aabir Mukhopadyay, Sumathi Rao, Sourin Das. Spontaneous fractional Josephson current from parafermions. 2022. ⟨hal-03764437⟩
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