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Thermodynamics of Dyonic Lifshitz Black Holes · Around

2011

Thermodynamics of Dyonic Lifshitz Black Holes

Zingg, Tobias

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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.

Built on

hors série
C. Fefferman and C. Robin Graham, Conformal Invariants · 1985
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J. M. Maldacena, The large N limit of superconformal field theories and supergravity
1998
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V. Balasubramanian and P. Kraus, A stress tensor for anti-de Sitter gravity
1999
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P. Coleman and A. J. Schofield, Quantum criticality
2005
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S. A. Hartnoll and P. Kovtun, Hall conductivity from dyonic black holes
Original
2007
Earlier work this paper cites.

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Then

J. McGreevy, Holographic duality with a view toward many-body physics
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Later among the works it cites.
E. J. Brynjolfsson, U. H. Danielsson, L. Thorlacius, and T. Zingg, Holographic Superconductors with Lifshitz Scaling
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E. J. Brynjolfsson, U. H. Danielsson, L. Thorlacius, and T. Zingg, Black Hole Thermodynamics and Heavy Fermion Metals
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S. A. Hartnoll, J. Polchinski, E. Silverstein, and D. Tong, Towards strange metallic holography
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