The holographic vortex lattice using the circular cell method
Gianni Tallarita, Roberto Auzzi
TL;DR
This paper models vortex lattices in holographic superconductors using the circular cell approximation, calculating critical fields and magnetization, and comparing lattice profiles to Abrikosov solutions near the critical magnetic field.
Contribution
It introduces a holographic superconductor vortex lattice model incorporating gravitational backreaction, utilizing the circular cell method to compute physical properties.
Findings
Critical magnetic fields are calculated.
Magnetization curves are obtained.
Vortex lattice profiles match Abrikosov solutions near H_{2c}.
Abstract
We investigate vortex lattice solutions in a holographic superconductor model in asymptotically spacetime which includes the gravitational backreaction of the vortex. The circular cell approximation, which is known to give a good result for several physical quantities in the Ginzburg-Landau model, is used. The critical magnetic fields and the magnetization curve are computed. The vortex lattice profiles are compared to expectations from the Abrikosov solution in the regime nearby the upper critical magnetic field for which superconductivity is lost.
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