Chiral kinematic theory and converse vortical effects

Abstract

Response theories in condensed matter typically describe the response of an electron fluid to external electromagnetic fields, while perturbations on neutral particles are often designed to mimic such fields. Here, we study the response of fermions to a space-time-dependent velocity field, thereby sidestepping the issue of gauge charge. First, we use a semiclassical chiral kinematic theory to obtain the local density of current and extract the orbital magnetization. The theory immediately predicts a "converse vortical effect," defined as an orbital magnetization driven by linear velocity. It receives contributions from magnetic moments on the Fermi surface and the Berry curvature of the occupied bands. Then, transcending semiclassics via a complementary Kubo formalism reveals that the uniform limit of a clean system receives only the Berry curvature contribution while other limits sense the Fermi surface magnetic moments too. We propose CoSi as a candidate material and suggest magnetometry of a sample under a thermal gradient to detect the effect. Overall, our study sheds light on the effects of a space-time-dependent velocity field on electron fluids and paves the way for exploring quantum materials using new probes and perturbations.

arXiv commentIt has been accepted by PRB

References in corpus (64)

• Topological Insulators
• Topological insulators and superconductors
• Berry Phase Effects on Electronic Properties
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Type-II Weyl Semimetals
• Weyl Semimetal in a Topological Insulator Multilayer
• Experimental discovery of Weyl semimetal TaAs
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Synthetic magnetic fields for ultracold neutral atoms
• Light-induced gauge fields for ultracold atoms
• Observation of the chiral magnetic effect in ZrTe5
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Topological response in Weyl semimetals and the chiral anomaly
• Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
• Recent developments in transport phenomena in Weyl semimetals
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Topological Semimetals
• Rapidly Rotating Atomic Gases
• Quantum Oscillations from Surface Fermi-Arcs in Weyl and Dirac Semi-Metals
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Chiral Kinetic Theory
• New classes of chiral topological nodes with non-contractible surface Fermi arcs in CoSi
• Weyl Semimetals, Fermi Arcs and Chiral Anomalies (A Short Review)
• Chiral anomaly and transport in Weyl metals
• Kinetic theory with Berry curvature from quantum field theories
• Observation of Chiral Fermions with a Large Topological Charge and and Associated Fermi-Arc Surface States in CoSi
• Gyrotropic magnetic effect and the magnetic moment on the Fermi surface
• Lorentz Invariance in Chiral Kinetic Theory
• Anomaly related transport of Weyl fermions for Weyl semi-metals
• Anomalous Nernst Effect in Dirac Semimetal Cd3As2
• Universality of transport properties in equilibrium, Goldstone theorem and chiral anomaly
• Triangle anomaly in Weyl semi-metals
• Chiral magnetic effect and natural optical activity in (Weyl) metals
• Nonlinear Responses of Chiral Fluids from Kinetic Theory
• Review of experiments on the chiral anomaly in Dirac-Weyl semimetals
• Chiral anomaly, dimensional reduction, and magnetoresistivity of Weyl and Dirac semimetals
• Inhomogeneous Weyl and Dirac semimetals: Transport in axial magnetic fields and Fermi arc surface states from pseudo Landau levels
• Generalized Bloch theorem and chiral transport phenomena
• Chiral transport of neutrinos in supernovae: Neutrino-induced fluid helicity and helical plasma instability
• Chiral kinetic theory in curved spacetime
• The chiral anomaly, Berry's phase and chiral kinetic theory, from world-lines in quantum field theory
• Topological responses from chiral anomaly in multi-Weyl semimetals
• Optical signatures of multifold fermions in the chiral topological semimetal CoSi
• Chiral Gravitational Waves and Baryon Superfluid Dark Matter
• Chiral Vortical Effect for Bosons
• Breakdown of chiral perturbation theory for the axion hot dark matter bound
• Chiral vortical effect with finite rotation, temperature, and curvature
• Berry-phase effects in dipole density and Mott relation
• The chiral vortical effect in Wigner function approach
• Nonlinear Chiral Transport Phenomena
• Chiral Vortical Effect in Superfluid
• Anomalous Hydrodynamic Transport in Interacting Noncentrosymmetric Metals
• Chiral Anomaly in Interacting Condensed Matter Systems
• Anatomy of the chiral vortical effect
• Quantum Kinetic Equation in the Rotating Frame and Chiral Kinetic Theory
• CVE for photons: black-hole vs. flat-space derivation
• Chiral vortical effect in relativistic and nonrelativistic systems
• Nonlinear chiral kinetic theory
• Chiral Vortical Effect in Fermi Liquid
• Quantum Kinetic Equation for Fluids of Spin-1/2 Fermions
• Vortical effects in chiral band structures