Crystalline geometries from fermionic vortex lattice with hyperscaling violation
Autor: | Hong Guo, Fu-Wen Shu, Li-Ke Chen |
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Jazyk: | angličtina |
Rok vydání: | 2015 |
Předmět: |
Physics
High Energy Physics - Theory 010308 nuclear & particles physics High Energy Physics::Lattice FOS: Physical sciences Fermion Landau quantization General Relativity and Quantum Cosmology (gr-qc) Equilateral triangle 01 natural sciences General Relativity and Quantum Cosmology Vortex Maxima and minima High Energy Physics - Theory (hep-th) Lattice (order) Quantum mechanics 0103 physical sciences Exponent 010306 general physics Scaling |
Popis: | 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 $\theta$. Our results also show that the larger $z$ or lower $\theta$ leads to more stable lattices thermodynamically. Comment: 23 pages, 5 figures |
Databáze: | OpenAIRE |
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