Lifshitz Hydrodynamics
arXiv:1304.7481 · doi:10.1007/JHEP11(2013)145
Abstract
We construct the hydrodynamics of quantum critical points with Lifshitz scaling. There are new dissipative effects allowed by the lack of boost invariance. The formulation is applicable, in general, to any fluid with an explicit breaking of boost symmetry. We use a Drude model of a strange metal to study the physical effects of the new transport coefficient. It can be measured using electric fields with non-zero gradients, or via the heat production when an external force is turned on. Scaling arguments fix the resistivity to be linear in the temperature.
11 pages, 1 figure, acceleration term corrected
References in corpus (15)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Quantum Criticality in Heavy Fermion Metals
- Gravity Duals of Lifshitz-like Fixed Points
- Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
- Quantum criticality
- Towards strange metallic holography
- Quantum Criticality
- Universal Quantum Viscosity in a Unitary Fermi Gas
- Quantum critical transport in clean graphene
- Universal quantum critical dynamics of two-dimensional antiferromagnets
- Locally critical umklapp scattering and holography
- Collective cyclotron motion of the relativistic plasma in graphene
- On Existence of Self-Tuning Solutions in Static Braneworlds without Singularities
- Hydrodynamic Model for Conductivity in Graphene
- Lorentz violation, Gravity, Dissipation and Holography
Cited by in corpus (48)
- Holographic duality and the resistivity of strange metals
- Boundary Stress-Energy Tensor and Newton-Cartan Geometry in Lifshitz Holography
- Lifshitz holography
- Perfect Fluids
- Thermoelectric conductivities, shear viscosity, and stability in an anisotropic linear axion model
- Field Theory on Newton-Cartan Backgrounds and Symmetries of the Lifshitz Vacuum
- Aspects of hot Galilean field theory
- Non-Boost Invariant Fluid Dynamics
- DC and Hall conductivity in holographic massive Einstein-Maxwell-Dilaton gravity
- Generic morphologies of viscoelastic dewetting fronts
- Cascades and Dissipative Anomalies in Compressible Fluid Turbulence
- Lifshitz Field Theories at Non-Zero Temperature, Hydrodynamics and Gravity
- Lifshitz Scale Anomalies
- Hydrodynamic Modes of Homogeneous and Isotropic Fluids
- Linear and quadratic in temperature resistivity from holography
- Cascades and Dissipative Anomalies in Relativistic Fluid Turbulence
- Lifshitz Hydrodynamics from Lifshitz Black Branes with Linear Momentum
- Aspects of Non-Relativistic Quantum Field Theories
- Hydrodynamics without boosts
- Momentum and charge transport in non-relativistic holographic fluids from Hořava gravity
- Horava-Lifshitz Black Hole Hydrodynamics
- Lifshitz Anomalies, Ward Identities and Split Dimensional Regularization
- Bulk Viscosity in Holographic Lifshitz Hydrodynamics
- Topical Review on Skyrmions and Hall Transport
- String-Theory-Based Predictions for Nonhydrodynamic Collective Modes in Strongly Interacting Fermi Gases
- Anomalous Hall viscosity at the Weyl semimetal/insulator transition
- Lifshitz Superfluid Hydrodynamics
- Thermodynamics and transport of holographic nodal line semimetals
- Ward Identities for Hall Transport
- On anisotropic black branes with Lifshitz scaling
- Magnetoconductivity in chiral Lifshitz hydrodynamics
- Taking a critical look at holographic critical matter
- Constitutive relations and response parameters in two dimensional hydrodynamics with gauge and gravitational anomalies
- Holographic fundamental matter in multilayered media
- Hydrodynamics of multi-component Bosonic systems
- Non-equilibrium steady states in quantum critical systems with Lifshitz scaling
- Microscopic model for relativistic hydrodynamics of ideal plasmas
- Holography of electrically and magnetically charged black branes
- Hydrodynamics without Boost-Invariance from Kinetic Theory: From Perfect Fluids to Active Flocks
- Temperature Dependence of In-plane Resistivity and Inverse Hall Angle in NLED Holographic Model
- Lifshitz hydrodynamics at generic from a moving black brane
- Conformal Mapping of Non-Lorentzian Geometries in SU(1,2) Conformal Field Theory
- Holographic Lifshitz fluids in 1+1 dimensions
- Classical microscopic derivation of the relativistic hydrodynamics equations
- Broken Lifshitz invariance, spin waves and hydrodynamics
- Gravitational quasinormal modes for Lifshitz black branes
- Lifshitz scaling effects on the holographic paramagnetic-ferromagnetic phase transition
- Constrained motions and slow dynamics in one-dimensional bosons with double-well dispersion