Holographic quantum critical points in Lifshitz space-time
arXiv:1212.6635
Abstract
We study a minimally coupled charged scalar field in a charged Lifshitz background. For z=2, we find an analytic expression for the corresponding low energy retarded Green's function. Unlike the RN-AdS case, the position of the superfluid surfaces depends on the charge of the scalar field only through the IR scaling dimension. We show that by increasing the dynamical exponent, the dual theory becomes more stable. We also show that the background could suffer from an instability of the IR geometry leading to a bifurcating critical point. It also allows the existence of scalar hair, causing hybridized critical point. We have investigated stable an unstable regions in the parameter space.
arXiv comment17 pages. 5 figures, v3 (Published version): references added + some clarifications
References in corpus (11)
- Lectures on holographic methods for condensed matter physics
- Gravity Duals of Lifshitz-like Fixed Points
- Non-relativistic holography
- Holographic stress tensor for non-relativistic theories
- Holography for asymptotically locally Lifshitz spacetimes
- Hamilton-Jacobi Renormalization for Lifshitz Spacetime
- Analytic fermionic Green's functions from holography
- Fermions on Lifshitz Background
- Fluctuation and Dissipation at a Quantum Critical Point
- Boundary conditions for scalars in Lifshitz
- Scalar Boundary Conditions in Lifshitz Spacetimes