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 (10)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Quantum Criticality in Heavy Fermion Metals
- Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
- Quantum criticality
- Quantum Criticality
- Universal Quantum Viscosity in a Unitary Fermi Gas
- Quantum critical transport in clean graphene
- Collective cyclotron motion of the relativistic plasma in graphene
- Hydrodynamic Model for Conductivity in Graphene
- Lorentz violation, Gravity, Dissipation and Holography
Cited by in corpus (47)
- 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
- DC and Hall conductivity in holographic massive Einstein-Maxwell-Dilaton gravity
- Non-Boost Invariant Fluid Dynamics
- 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
- Horava-Lifshitz Black Hole Hydrodynamics
- Lifshitz Anomalies, Ward Identities and Split Dimensional Regularization
- Momentum and charge transport in non-relativistic holographic fluids from Hořava gravity
- Topical Review on Skyrmions and Hall Transport
- Bulk Viscosity in Holographic Lifshitz Hydrodynamics
- 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
- Hydrodynamics of multi-component Bosonic systems
- Holographic fundamental matter in multilayered media
- Constitutive relations and response parameters in two dimensional hydrodynamics with gauge and gravitational anomalies
- 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
- Holographic Lifshitz fluids in 1+1 dimensions
- Conformal Mapping of Non-Lorentzian Geometries in SU(1,2) Conformal Field Theory
- Classical microscopic derivation of the relativistic hydrodynamics equations
- Constrained motions and slow dynamics in one-dimensional bosons with double-well dispersion
- Gravitational quasinormal modes for Lifshitz black branes
- Lifshitz scaling effects on the holographic paramagnetic-ferromagnetic phase transition
- Broken Lifshitz invariance, spin waves and hydrodynamics