Charged Lifshitz black hole and probed Lorentz-violation fermions from holography
arXiv:1612.01247 · doi:10.1016/j.physletb.2017.03.019
Abstract
We analytically obtain a new charged Lifshtitz solution by adding a non-relativistic Maxwell field in Horava-Lifshitz gravity. The black hole exhibits an anisotropic scaling between space and time (Lifshitz scaling) in the UV limit, while in the IR limit, the Lorentz invariance is recovered. We introduce the probed Lorentz-violation fermions into the background and holographically investigate the spectral properties of the dual fermionic operator. The Lorentz-violation of fermions will enhance the peak and corresponds larger fermi momentum, which compensates the non-relativistic bulk effect of the dynamical exponent. For a fixed , when the Lorentz-violation of fermions increases to a critical value, the behavior of the low energy excitation goes from a non-Fermi liquid type to a fermi liquid type, which implies a kind of phase transition.
minor revisions, references added, published version
References in corpus (21)
- Quantum Gravity at a Lifshitz Point
- Lectures on Holographic Superfluidity and Superconductivity
- Non-relativistic holography
- A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
- Real-time response in AdS/CFT with application to spinors
- Lifshitz Gravity for Lifshitz Holography
- General Covariance in Gravity at a Lifshitz Point
- Dynamically Generated Gap from Holography: Mottness from a Black Hole
- Dynamical Gap and Cuprate-like Physics from Holography
- String theory embeddings of non-relativistic field theories and their holographic Horava gravity duals
- Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point
- High-dimensional Lifshitz-type spacetimes, universal horizons and black holes in Hořava-Lifshitz gravity
- Minding the Gap in Holographic Models of Interacting Fermions
- Holographic Fermi surfaces and bulk dipole couplings
- Anisotropic Fermi surface from holography
- Holographic Superconductors in Horava-Lifshitz Gravity
- Electrically-Charged Lifshitz Spacetimes, and Hyperscaling Violations
- Dynamically generated gap from holography in the charged black brane with hyperscaling violation
- Charged Black Holes in Colored Lifshitz Spacetimes
- Duality between zeroes and poles in holographic systems with massless fermions and a dipole coupling
- Effects of high-order operators in non-relativistic Lifshitz holography