Dynamics of Josephson junctions beyond the tunneling limit

Fuente: arXiv
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Autores principales: Steiner, Jacob F., Melischek, Larissa, von Oppen, Felix
Formato: Preprint
Publicado: 2025
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author Steiner, Jacob F.
Melischek, Larissa
von Oppen, Felix
author_facet Steiner, Jacob F.
Melischek, Larissa
von Oppen, Felix
contents The dynamics of the superconducting phase difference across a Josephson junction can be described within the resistively and capacitively shunted Josephson junction (RCSJ) model. Microscopic derivations of this model traditionally rely on the tunneling limit. Here, we present a derivation of a generalized version of the RCSJ model, which accounts for dissipative currents with nonlinear current-voltage characteristics as well as supercurrents with arbitrary current-phase relations. This requires a generalized fluctuation-dissipation theorem to describe the Langevin current, which we deduce along the lines of fluctuation theorems for mesoscopic conductors. Our work is motivated in particular by recent theories of the Josephson diode effect, which is not captured within the RCSJ model in the tunneling limit.
format Preprint
id arxiv_https___arxiv_org_abs_2511_03811
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dynamics of Josephson junctions beyond the tunneling limit
Steiner, Jacob F.
Melischek, Larissa
von Oppen, Felix
Mesoscale and Nanoscale Physics
Superconductivity
The dynamics of the superconducting phase difference across a Josephson junction can be described within the resistively and capacitively shunted Josephson junction (RCSJ) model. Microscopic derivations of this model traditionally rely on the tunneling limit. Here, we present a derivation of a generalized version of the RCSJ model, which accounts for dissipative currents with nonlinear current-voltage characteristics as well as supercurrents with arbitrary current-phase relations. This requires a generalized fluctuation-dissipation theorem to describe the Langevin current, which we deduce along the lines of fluctuation theorems for mesoscopic conductors. Our work is motivated in particular by recent theories of the Josephson diode effect, which is not captured within the RCSJ model in the tunneling limit.
title Dynamics of Josephson junctions beyond the tunneling limit
topic Mesoscale and Nanoscale Physics
Superconductivity
url https://arxiv.org/abs/2511.03811