Crystalline geometries from fermionic vortex lattice with hyperscaling violation

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 $\theta$. Our results also show that the larger $z$ or lower $\theta$ leads to more stable lattices thermodynamically.

23 pages, 5 figures

References in corpus (22)

• Quantum Gravity at a Lifshitz Point
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Lectures on Holographic Superfluidity and Superconductivity
• Effective Holographic Theories for low-temperature condensed matter systems
• Non-relativistic holography
• Holography without translational symmetry
• Electron stars for holographic metallic criticality
• Lifshitz Gravity for Lifshitz Holography
• Metal-insulator Transition by Holographic Charge Density Waves
• Tidal deformation of a slowly rotating black hole
• Conductivity of weakly disordered strange metals: from conformal to hyperscaling-violating regimes
• Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point
• High-dimensional Lifshitz-type spacetimes, universal horizons and black holes in Hořava-Lifshitz gravity
• Thermodynamics of nonlinear charged Lifshitz black branes with hyperscaling violation
• Higher-curvature corrections to holographic entanglement entropy in geometries with hyperscaling violation
• Electrically-Charged Lifshitz Spacetimes, and Hyperscaling Violations
• Dynamically generated gap from holography in the charged black brane with hyperscaling violation
• Formation of Fermi surfaces and the appearance of liquid phases in holographic theories with hyperscaling violation
• Revisiting holographic superconductors with hyperscaling violation
• Lifshitz holographic superconductor in Horava-Lifshitz gravity
• Non-Abelian (Hyperscaling Violating) Lifshitz Black Holes in General Dimensions
• Interpolating solution from AdS${}_5$ to hyperscaling violating Lifshitz space-time

Cited by in corpus (4)

• Transport coefficients from hyperscaling violating black brane: shear viscosity and conductivity
• Lifshitz holographic superconductor in Horava-Lifshitz gravity
• Holographic s-wave and p-wave Josephson junction with backreaction
• Holographic superconductor in hyperscaling violation geometry with Maxwell-dilaton coupling