Universal linear and nonlinear electrodynamics of the Dirac fluid

Abstract

A general relation is derived between the linear and second-order nonlinear ac conductivities of an electron system in the hydrodynamic regime of frequencies below the interparticle scattering rate. The magnitude and tensorial structure of the hydrodynamic nonlinear conductivity are shown to differ from their counterparts in the more familiar kinetic regime of higher frequencies. Due to universality of the hydrodynamic equations, the obtained formulas are valid for systems with an arbitrary Dirac-like dispersion, ranging from solid-state electron gases to free-space plasmas, either massive or massless, at any temperature, chemical potential or space dimension. Predictions for photon drag and second-harmonic generation in graphene are presented as one application of this theory.

5 pages, 4 figures

References in corpus (16)

• Acoustic phonon scattering limited carrier mobility in 2D extrinsic graphene
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Superballistic flow of viscous electron fluid through graphene constrictions
• Colloquium: Graphene spectroscopy
• Higher-Than-Ballistic Conduction of Viscous Electron Flows
• Quantum-critical relativistic magnetotransport in graphene
• Hydrodynamics in graphene: Linear-response transport
• Phonon-limited resistivity of graphene by first-principle calculations: electron-phonon interactions, strain-induced gauge field and Boltzmann equation
• Hydrodynamic theory of thermoelectric transport and negative magnetoresistance in Weyl semimetals
• Plasmon losses due to electron-phonon scattering: the case of graphene encapsulated in hexagonal Boron Nitride
• Coulomb interaction in graphene: Relaxation rates and transport
• Second-order nonlinear optical response of graphene
• Second order optical nonlinearity of graphene due to electric quadrupole and magnetic dipole effects
• Electromagnetic properties of viscous charged fluids
• Theory of plasmonic effects in nonlinear optics: the case of graphene
• The intrinsic charge and spin conductivities of doped graphene in the Fermi-Liquid regime

Cited by in corpus (37)

• Hydrodynamics of electrons in graphene
• Quantum Nanophotonics in Two-Dimensional Materials
• The boundary conditions of viscous electron flow
• Fizeau Drag in Graphene Plasmonics
• Hydrodynamic approach to two-dimensional electron systems
• Hydrodynamic-to-ballistic crossover in Dirac fluid
• Collective modes and terahertz near-field response of superconductors
• Transport properties of strongly coupled electron-phonon liquids
• Terahertz tuning of Dirac plasmons in Bi${}_2$Se${}_3$ Topological Insulator
• Hydrodynamic collective modes in graphene
• Temporal control of graphene plasmons
• Non-local hydrodynamic transport and collective excitations in Dirac fluids
• Acoustic plasmons at the crossover between the collisionless and hydrodynamic regimes in two-dimensional electron liquids
• Pseudo-Euler equations from nonlinear optics: plasmon-assisted photodetection beyond hydrodynamics
• Instantaneous response and quantum geometry of insulators
• Optical conductivity in graphene: hydrodynamic regime
• Optical signatures of shear collective modes in strongly interacting Fermi liquids
• Polaritonic Quantum Matter
• Anti-Poiseuille flow in neutral graphene
• Graphene as a source of entangled plasmons
• Dominant Role of Two-Photon Vertex in Nonlinear Response of Dirac Materials
• Interlayer electron-hole friction in tunable twisted bilayer graphene semimetal
• Floquet engineering of many-body states by the ponderomotive potential
• Plasmonic quantum nonlinear Hall effect in noncentrosymmetric 2D materials
• Enhanced ponderomotive force in graphene due to interband resonance
• Current Noise of Hydrodynamic Electrons
• Dipole excitation of collective modes in viscous two-dimensional electron systems
• Quasiclassical nonlinear plasmon resonance in graphene
• Hydrodynamics of the electronic Fermi liquid: a pedagogical overview
• The Future of the Correlated Electron Problem
• Eccentric Corbino FET in magnetic field: a highly tunable photodetector
• Disorder-enhanced effective masses and deviations from Matthiessen's rule in PdCoO${}_2$ thin films
• Strongly nonlinear Bernstein modes in graphene reveal plasmon-enhanced near-field magnetoabsorption
• Engineering Ponderomotive Potential for Realizing $\pi$ and $\pi /2$ Bosonic Josephson Junctions
• Diffusive and hydrodynamic magnetotransport around a density perturbation in a two-dimensional electron gas
• Relativistic Langevin Equation derived from a particle-bath Lagrangian
• Minimal one-dimensional model of bad metal behavior from fast particle-hole scattering