Crystalline Geometries from Fermionic Vortex Lattice

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.

17 pages, 5 figures. v2: typos corrected + some clarifications, a reference added

References in corpus (7)

• Real-time response in AdS/CFT with application to spinors
• A Holographic Superconductor in an External Magnetic Field
• Metal-insulator transition in holography
• Adventures in Holographic Dimer Models
• Vortex Lattices and Crystalline Geometries
• Lattice Gauge Theories Have Gravitational Duals
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Cited by in corpus (5)

• Holographic Metals and Insulators with Helical Symmetry
• Scaling of the Holographic AC conductivity for non-Fermi liquids at criticality
• Holographic s-wave and p-wave Josephson junction with backreaction
• Several integrals of quaternionic field on hyperbolic matrix space
• Crystalline geometries from fermionic vortex lattice with hyperscaling violation