Non Mean-Field Quantum Critical Points from Holography

Details Non Mean-Field Quantum Critical Points from Holography Non Mean-Field Quantum Critical Points from Holography

2010-08-11

arxiv.org/abs/1008.1889v2

Phys.Rev.D82:105012,2010

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 7 figures, v2: Added references

Scientific paper

10.1103/PhysRevD.82.105012

We construct a class of quantum critical points with non-mean-field critical exponents via holography. Our approach is phenomenological. Beginning with the D3/D5 system at nonzero density and magnetic field which has a chiral phase transition, we simulate the addition of a third control parameter. We then identify a line of quantum critical points in the phase diagram of this theory, provided that the simulated control parameter has dimension less than two. This line smoothly interpolates between a second-order transition with mean-field exponents at zero magnetic field to a holographic Berezinskii-Kosterlitz-Thouless transition at larger magnetic fields. The critical exponents of these transitions only depend upon the parameters of an emergent infrared theory. Moreover, the non-mean-field scaling is destroyed at any nonzero temperature. We discuss how generic these transitions are.

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