Flux Periodicities and Quantum Hair on Holographic Superconductors

Understand

Superconductors in a cylindrical geometry respond periodically to a cylinder-threading magnetic flux, with the period changing from hc/2e to hc/e depending on whether the Aharonov-Bohm effects are suppressed or not.

• We show that Holographic Superconductors present a similar phenomenon, and that the different periodicities follow from classical no-hair theorems.
• We also give the Ginzburg-Landau description of the period-doubling phenomenon.