Intermediate scalings in holographic RG flows and conductivities

Abstract

We construct numerically finite density domain-wall solutions which interpolate between two $Ad{S}_4$ fixed points and exhibit an intermediate regime of hyperscaling violation, with or without Lifshitz scaling. Such RG flows can be realized in gravitational models containing a dilatonic scalar and a massive vector field with appropriate choices of the scalar potential and couplings. The infrared $Ad{S}_4$ fixed point describes a new ground state for strongly coupled quantum systems realizing such scalings, thus avoiding the well-known extensive zero temperature entropy associated with $Ad{S}_2\times {\mathbb{R}}^2$. We also examine the zero temperature behavior of the optical conductivity in these backgrounds and identify two scaling regimes before the UV CFT scaling is reached. The scaling of the conductivity is controlled by the emergent IR conformal symmetry at very low frequencies, and by the intermediate scaling regime at higher frequencies.

v3: minor changes, version to be published in JHEP. v2: added references and clarifications. v1: 35 pages, 7 figures

References in corpus (20)

• Building an AdS/CFT superconductor
• Electrodynamics of Correlated Electron Materials
• Effective Holographic Theories for low-temperature condensed matter systems
• Quantum critical transport, duality, and M-theory
• Lifshitz Space-Times for Schroedinger Holography
• The thermoelectric properties of inhomogeneous holographic lattices
• The gravity dual to a quantum critical point with spontaneous symmetry breaking
• Holographic Metals and Insulators with Helical Symmetry
• Quantum critical lines in holographic phases with (un)broken symmetry
• Holographic End-Point of Spatially Modulated Phase Transition
• Metal-insulator transition in holography
• Domain Wall Holography for Finite Temperature Scaling Solutions
• Lifshitz holography: The whole shebang
• Conductivities for Hyperscaling Violating Geometries
• The Benefits of Stress: Resolution of the Lifshitz Singularity
• Hyperscaling Violating Solution in Coupled Dilaton-Squared Curvature Gravity
• Entangled Dilaton Dyons
• Generalized dilatation operator method for non-relativistic holography
• Interpolating solution from AdS${}_5$ to hyperscaling violating Lifshitz space-time
• Polarized solutions and Fermi surfaces in holographic Bose-Fermi systems

Cited by in corpus (11)

• Coherent/incoherent metal transition in a holographic model
• Conductivity of weakly disordered strange metals: from conformal to hyperscaling-violating regimes
• Anisotropic plasmas from axion and dilaton deformations
• Electrically-Charged Lifshitz Spacetimes, and Hyperscaling Violations
• Black Rubber and the Non-linear Elastic Response of Scale Invariant Solids
• Superfluid and Metamagnetic Phase Transitions in $\omega$-deformed Gauged Supergravity
• Non-Abelian (Hyperscaling Violating) Lifshitz Black Holes in General Dimensions
• Constraining Non-Relativistic RG Flows with Holography
• Deep learning-based holography for T-linear resistivity
• Logarithmic curvature correction to Lifshitz and hyperscaling violation geometries
• Critical scaling of the AC conductivity and momentum dissipation