Length asymmetry between counter-propagating chiral edges in a parafermion Josephson junction supplies a spontaneous phase bias that electrically controls Majorana (m=1) or parafermion (m>1) zero modes at Laughlin fillings.
Spontaneous fractional Josephson current from parafermions
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abstract
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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cond-mat.mes-hall 1years
2022 1verdicts
UNVERDICTED 1representative citing papers
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Spontaneous fractional Josephson current from parafermions
Length asymmetry between counter-propagating chiral edges in a parafermion Josephson junction supplies a spontaneous phase bias that electrically controls Majorana (m=1) or parafermion (m>1) zero modes at Laughlin fillings.