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arXiv · 1511.01370

Crystalline geometries from fermionic vortex lattice with hyperscaling violation

Li-Ke Chen·Hong Guo·Fu-Wen Shu
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Abstract

We analytically consider the spontaneous formation of a fermionic crystalline geometry in a gravity background with Lifshitz scaling and/or hyperscaling violation. Fermionic vortex lattice solution sourced by the lowest Laundau level has been obtained. Thermodynamic analysis shows that the fermionic vortex lattice favors a triangular configuration, regardless of the values of the Lifshitz scaling $z$ and the hyperscaling violation exponent $θ$. Our results also show that the larger $z$ or lower $θ$ leads to more stable lattices thermodynamically.

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Li-Ke Chen, Hong Guo, Fu-Wen Shu. 2016-03-28. Crystalline geometries from fermionic vortex lattice with hyperscaling violation. https://doi.org/10.1103/physrevd.94.026011

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