Quantum Criticality in Einstein-Maxwell-Dilaton Gravity
arXiv:1009.3952 · doi:10.1016/j.physletb.2011.12.053
Abstract
We investigate the quantum Lifshitz criticality in a general background of Einstein-Maxwell-Dilaton gravity. In particular, we demonstrate the existence of critical point with dynamic critical exponent z by tuning a nonminimal coupling to its critical value. We also study the effect of nonminimal coupling and exponent z to the Efimov states and holographic RG flow in the overcritical region. We have found that the nonminimal coupling increases the instability for a probe scalar to condensate and its back reaction is discussed. At last, we give a quantum mechanics treatment to a solvable system with z=2, and comment for generic z>2.
15 pages, 6 figures, revtex4
References in corpus (10)
- Building an AdS/CFT superconductor
- Emergent quantum criticality, Fermi surfaces, and AdS2
- Holography of Charged Dilaton Black Holes
- Conformality Lost
- Ground states of holographic superconductors
- Quantum phase transitions in holographic models of magnetism and superconductors
- Thermodynamics of black branes in asymptotically Lifshitz spacetimes
- Competing Holographic Orders
- Nonrelativistic inverse square potential, scale anomaly, and complex extension
- Phenomenological Models of Holographic Superconductors and Hall currents