Holographic Description of Finite Size Effects in Strongly Coupled Superconductors

Understand

Despite its fundamental and practical interest, the understanding of mesoscopic effects in strongly coupled superconductors is still limited.

• Here we address this problem by studying holographic superconductivity in a disk and a strip of typical size $\ell$.
• For $\ell < \ell_c$, where $\ell_c$ depends on the chemical potential and temperature, we have found that the order parameter vanishes.
• The superconductor-metal transition at $\ell = \ell_c$ is controlled by mean-field critical exponents which suggests that quantum and thermal fluctuations induced by finite size effects are suppressed in holographic superconductors.