Tuesday, July 30, 2013

1307.7397 (M. Reza Mohammadi Mozaffar et al.)

Crystalline Geometries from Fermionic Vortex Lattice    [PDF]

M. Reza Mohammadi Mozaffar, Ali Mollabashi
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 ?nite charge density. We also discuss corrections to the thermodynamic functions due to the lattice formation.
View original: http://arxiv.org/abs/1307.7397

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