TL;DR
This paper develops a holographic renormalization method for dyonic Lifshitz black holes, revealing their thermodynamics and magnetic properties, including paramagnetic behavior at low temperatures for specific critical exponents.
Contribution
It introduces a new holographic renormalization procedure for Lifshitz black holes with electric and magnetic charges, ensuring consistent thermodynamics.
Findings
Black holes exhibit paramagnetic behavior at low temperatures for certain z.
Standard thermodynamic relations are maintained for dyonic Lifshitz black holes.
AdS black holes are always diamagnetic, contrasting with Lifshitz cases.
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.
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