Emergent quantum criticality, Fermi surfaces, and AdS2

Details Emergent quantum criticality, Fermi surfaces, and AdS2 Emergent quantum criticality, Fermi surfaces, and AdS2

2009-07-16

arxiv.org/abs/0907.2694v2

Phys.Rev.D83:125002,2011

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, 17 figures; v2: corrections in Appendix D, new Appendix D.5

Scientific paper

10.1103/PhysRevD.83.125002

Gravity solutions dual to d-dimensional field theories at finite charge density have a near-horizon region which is AdS_2 x R^{d-1}. The scale invariance of the AdS_2 region implies that at low energies the dual field theory exhibits emergent quantum critical behavior controlled by a (0+1)-dimensional CFT. This interpretation sheds light on recently-discovered holographic descriptions of Fermi surfaces, allowing an analytic understanding of their low-energy excitations. For example, the scaling behavior near the Fermi surfaces is determined by conformal dimensions in the emergent IR CFT. In particular, when the operator is marginal in the IR CFT, the corresponding spectral function is precisely of the "Marginal Fermi Liquid" form, postulated to describe the optimally doped cuprates.

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