A Holographic Josephson Junction
Gary T. Horowitz, Jorge E. Santos, and Benson Way
TL;DR
This paper develops a gravitational model of a Josephson junction that replicates key physical relations and explores how the maximum current varies with temperature and size, aligning with known experimental results.
Contribution
It introduces a holographic dual model of a Josephson junction, providing a new theoretical framework for studying superconducting phenomena using gravity duals.
Findings
Reproduces the standard current-phase relation.
Analyzes maximum current dependence on temperature.
Shows size effects on junction behavior.
Abstract
We construct a gravitational dual of a Josephson junction. Calculations on the gravity side reproduce the standard relation between the current across the junction and the phase difference of the condensate. We also study the dependence of the maximum current on the temperature and size of the junction and reproduce familiar results.
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