Thermodynamics of Dyonic Lifshitz Black Holes

Abstract

Black holes with asymptotic anisotropic scaling are conjectured to be gravity duals of condensed matter system close to quantum critical points with non-trivial dynamical exponent z at finite temperature. A holographic renormalization procedure is presented that allows thermodynamic potentials to be defined for objects with both electric and magnetic charge in such a way that standard thermodynamic relations hold. Black holes in asymptotic Lifshitz spacetimes can exhibit paramagnetic behavior at low temperature limit for certain values of the critical exponent z, whereas the behavior of AdS black holes is always diamagnetic.

26 pages, 4 figures

References in corpus (6)

• Quantum criticality
• Holographic duality with a view toward many-body physics
• Towards strange metallic holography
• Holographic stress tensor for non-relativistic theories
• On Charged Lifshitz Black Holes
• Black Hole Thermodynamics and Heavy Fermion Metals

Cited by in corpus (7)

• Thermodynamical First Laws of Black Holes in Quadratically-Extended Gravities
• Electrically-Charged Lifshitz Spacetimes, and Hyperscaling Violations
• Charged Black Holes in Colored Lifshitz Spacetimes
• Cardy formula for charged black holes with anisotropic scaling
• Holographic anyonization: A systematic approach
• Logarithmic two-Point Correlation Functions from a z = 2 Lifshitz Model
• Lifshitz hydrodynamics at generic $z$ from a moving black brane