Holographic Metamagnetism, Quantum Criticality, and Crossover Behavior

Details Holographic Metamagnetism, Quantum Criticality, and Crossover Behavior Holographic Metamagnetism, Quantum Criticality, and Crossover Behavior

2010-03-05

arxiv.org/abs/1003.1302v2

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 8 figures v2: added refs

Scientific paper

Using high-precision numerical analysis, we show that 3+1 dimensional gauge theories holographically dual to 4+1 dimensional Einstein-Maxwell-Chern-Simons theory undergo a quantum phase transition in the presence of a finite charge density and magnetic field. The quantum critical theory has dynamical scaling exponent z=3, and is reached by tuning a relevant operator of scaling dimension 2. For magnetic field B above the critical value B_c, the system behaves as a Fermi liquid. As the magnetic field approaches B_c from the high field side, the specific heat coefficient diverges as 1/(B-B_c), and non-Fermi liquid behavior sets in. For B

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