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<p>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 <i>∂</i>Ω with tension Σ 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 Σ. We also study the maximum current’s dependence on the junction’s tension and size and reproduce familiar results.</p>

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Geometric Josephson junction

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月28日

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  • Fabiano F. Santos,
  • Henrique Boschi-Filho

摘要

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 ∂Ω with tension Σ 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 Σ. We also study the maximum current’s dependence on the junction’s tension and size and reproduce familiar results.