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Geometric Josephson junction
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Geometric Josephson junction
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In this work, we present a gravitational dual to a constriction Josephson junction constructed from the AdS/BCFT correspondence. On the gravity side, we consider a planar AdS-Schwarzschild black hole. Our junction is connected by the boundary $\partial\Omega$ with tension $\Sigma$ on the boundary CFT. This approach lead us to analytical solutions rather than usual numerical methods. Our computations on the gravity side reproduce the standard relation between the current across the junction and the phase difference of the condensate controlled by the tension $\Sigma$. We also study the maximum current's dependence on the junction's tension and size and reproduce familiar results.
Forward citations
Cited by 2 Pith papers
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Josephson's effect in the Schwarzschild background
Josephson dynamics in Schwarzschild spacetime reduce to flat-space laws with redshifted voltages, giving critical currents that scale as α, power as α², and Shapiro steps fixed in asymptotic variables.
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Building an AdS/BCFT Josephson junction within Horndeski gravity
AdS/BCFT with Horndeski gravity is claimed to yield Josephson junctions whose phase and current depend on the Horndeski couplings, but the condensate and critical temperature are put in by hand.
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