Spontaneous fractional Josephson current in parafermion junctions
Kishore Iyer, Amulya Ratnakar, Aabir Mukhopadyay, Sumathi Rao, Sourin Das
DOI 10.1103/PhysRevB.107.L121408 · Physical Review B
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Abstract
We study a parafermion Josephson junction comprising a pair of counterpropagating edge modes of two quantum Hall 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 counterpropagating chiral edges at the Josephson junction, can act as a source of spontaneous phase bias. For the Laughlin filling fractions, ν=1/m, m∈2Z+1, this leads to an electrical control of either Majorana (m=1) or parafermion (m≠1) zero modes.
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