Theory of universal diode effect in three-terminal Josephson junctions

Fuente: arXiv
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Auteurs principaux: Correa, Jorge Huamani, Nowak, Michal P.
Format: Preprint
Publié: 2024
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author Correa, Jorge Huamani
Nowak, Michal P.
author_facet Correa, Jorge Huamani
Nowak, Michal P.
contents We theoretically study the superconducting diode effect in a three-terminal Josephson junction. The diode effect in superconducting systems is typically related to the presence of a difference in the critical currents for currents flowing in the opposite direction. We show that in multi-terminal systems this effect occurs naturally without the need of the presence of any spin interactions and is a result of the presence of a relative shift between the Andreev bound states carrying the supercurrent. On an example of a three-terminal junction, we demonstrate that the non-reciprocal current in one of the superconducting contacts can be induced by proper phase biasing of the other contacts, provided that there are at least two Andreev bound states in the system and the symmetry of the system is broken. This result is confirmed in numerical models describing the junctions in both the short- and long-regime. By optimizing the geometry of the junction, we show that the efficiency of the realized superconducting diode exceeds $35 \%$. We relate our predictions to recent experiments on multi-terminal junctions, in which non-reciprocal supercurrents were observed.
format Preprint
id arxiv_https___arxiv_org_abs_2401_16262
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Theory of universal diode effect in three-terminal Josephson junctions
Correa, Jorge Huamani
Nowak, Michal P.
Superconductivity
Mesoscale and Nanoscale Physics
We theoretically study the superconducting diode effect in a three-terminal Josephson junction. The diode effect in superconducting systems is typically related to the presence of a difference in the critical currents for currents flowing in the opposite direction. We show that in multi-terminal systems this effect occurs naturally without the need of the presence of any spin interactions and is a result of the presence of a relative shift between the Andreev bound states carrying the supercurrent. On an example of a three-terminal junction, we demonstrate that the non-reciprocal current in one of the superconducting contacts can be induced by proper phase biasing of the other contacts, provided that there are at least two Andreev bound states in the system and the symmetry of the system is broken. This result is confirmed in numerical models describing the junctions in both the short- and long-regime. By optimizing the geometry of the junction, we show that the efficiency of the realized superconducting diode exceeds $35 \%$. We relate our predictions to recent experiments on multi-terminal junctions, in which non-reciprocal supercurrents were observed.
title Theory of universal diode effect in three-terminal Josephson junctions
topic Superconductivity
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2401.16262