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Geometric Josephson junction

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arxiv 2407.10008 v3 pith:YS2JPJVR submitted 2024-07-13 hep-th gr-qc

Fabiano F. Santos , Henrique Boschi-Filho This is my paper · ORCID
classification hep-thgr-qc
keywords junctiontensionboundarycurrentgravityjosephsonreproduceside
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Josephson's effect in the Schwarzschild background

    hep-th 2025-10 conditional novelty 5.0 of 10

    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.

  2. Building an AdS/BCFT Josephson junction within Horndeski gravity

    hep-th 2025-10 reject novelty 4.0 of 10

    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.

  3. Probing the Black Hole Interior with Holographic Entanglement Entropy and the Role of AdS/BCFT Correspondence

    hep-th 2025-08 reject novelty 4.0 of 10

    The paper's central claim, that a Horndeski-gravity residual entropy -ξ/6 identifies smooth-interior microstates and firewalls, is an unsupported interpretation of previously derived formulas.

  4. Holographic Complexity as a Probe of Boundary Entropy in AdS/BCFT

    hep-th 2026-08 reject novelty 3.0 of 10

    Relative complexity in AdS/BCFT is claimed to equal boundary entropy log g divided by pi hbar, but the equality is built into the renormalization counterterm.

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