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arXiv · 1307.7397

Crystalline Geometries from Fermionic Vortex Lattice

M. Reza Mohammadi Mozaffar·Ali Mollabashi
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Abstract

We study charged Dirac fermions on an AdS$_2\times R^2$ background with a non-zero magnetic field. Under certain boundary conditions, we show that the charged fermion can make the background unstable, resulting in spontaneously formation of a vortex lattice. We observe that an electric field emerges in the back-reacted solution due to the vortex lattice constructed from spin polarized fermions. This electric field may be extended to the UV boundary which leads to a finite charge density. We also discuss corrections to the thermodynamic functions due to the lattice formation.

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M. Reza Mohammadi Mozaffar, Ali Mollabashi. 2013-07-28. Crystalline Geometries from Fermionic Vortex Lattice. https://doi.org/10.1103/physrevd.89.046007

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