Holographic quantum criticality from multi-trace deformations

Details Holographic quantum criticality from multi-trace deformations Holographic quantum criticality from multi-trace deformations

2010-08-09

arxiv.org/abs/1008.1581v2

JHEP 1104:051,2011

Physics

High Energy Physics

High Energy Physics - Theory

v2: minor edits and added references

Scientific paper

10.1007/JHEP04(2011)051

We explore the consequences of multi-trace deformations in applications of gauge-gravity duality to condensed matter physics. We find that they introduce a powerful new "knob" that can implement spontaneous symmetry breaking, and can be used to construct a new type of holographic superconductor. This knob can be tuned to drive the critical temperature to zero, leading to a new quantum critical point. We calculate nontrivial critical exponents, and show that fluctuations of the order parameter are `locally' quantum critical in the disordered phase. Most notably the dynamical critical exponent is determined by the dimension of an operator at the critical point. We argue that the results are robust against quantum corrections and discuss various generalizations.

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