Nonlinear Chiral Transport Phenomena

Abstract

We study the nonlinear responses of relativistic chiral matter to the external fields, such as the electric field $\mathbf{E}$, gradients of temperature and chemical potential, $\nabla T$ and $\nabla \mu$. Using the kinetic theory with Berry curvature corrections under the relaxation time approximation, we compute the transport coefficients of possible new electric currents that are forbidden in usual chirally symmetric matter, but are allowed in chirally asymmetric matter by parity. In particular, we find a new type of electric current proportional to $\nabla \mu \times \mathbf{E}$ due to the interplay between the effects of the Berry curvature and collisions. We also derive an analogue of the "Wiedemann-Franz" law specific for anomalous nonlinear transport in relativistic chiral matter.

5 pages

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Cited by in corpus (28)

• Nonlinear Responses of Chiral Fluids from Kinetic Theory
• Foundations and Applications of Quantum Kinetic Theory
• Effect of intense magnetic fields on reduced-MHD evolution in $\sqrt{s_{\mathrm{NN}}}$ = 200 GeV Au+Au collisions
• Anomalous Maxwell equations for inhomogeneous chiral plasma
• Non-equilibrium Chiral Magnetic/Vortical Effects in Viscous Fluids
• Local and global polarization of $\Lambda$ hyperons across RHIC-BES energies: the roles of spin hall effect, initial condition and baryon diffusion
• Chiral Kinetic Theory from Effective Field Theory Revisited
• Chiral kinetic theory from Landau level basis
• Causality and stability in relativistic viscous non-resistive magneto-fluid dynamics
• Energy Conservation and the Chiral Magnetic Effect
• Boost invariant formulation of the chiral kinetic theory
• Lepton pair photoproduction in peripheral relativistic heavy-ion collisions
• Chirality Production with Mass Effects-Schwinger Pair Production and the Axial Ward Identity
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• Anomalous magnetohydrodynamics with constant anisotropic electric conductivities
• Cross effects in spin hydrodynamics: A revisit Entropy analysis and statistical operator
• Photoproduction of $e^{+}{e}^{-}$ in peripheral isobar collisions
• Impact of chiral asymmetry and magnetic field on passage of an energetic test parton in a QCD medium
• Berry phase in the phase space worldline representation: the axial anomaly and classical kinetic theory
• Nonlinear Chiral Plasma Transport in Rotating Coordinates
• Gradient resummation for nonlinear chiral transport: an insight from holography
• Photon Self-energy in Magnetized Chiral Plasma from Kinetic Theory
• Nonlinear thermoelectric probes of anomalous electron lifetimes in topological Fermi liquids
• Some Features of Semiclassical Chiral Transport in Rotating Frames
• Abelian and non-Abelian Berry curvatures in lattice QCD
• Nuclear deformation effects in photoproduction of $\rho$ mesons in ultraperipheral isobaric collisions
• Lepton pair production in ultra-peripheral collisions
• Chiral kinematic theory and converse vortical effects