Cubic Hall viscosity in three-dimensional topological semimetals
arXiv:2102.02226 · doi:10.1103/PhysRevResearch.3.L032068
Abstract
The nondissipative (Hall) viscosity is known to play an interesting role in two-dimensional (2D) topological states of matter, in the hydrodynamic regime of correlated materials, and in classical active fluids with broken time-reversal symmetry (TRS). However, generalizations of these effects to 3D have remained elusive. In this work, we address this question by studying the Hall viscoelastic response of 3D crystals. We show that for systems with tetrahedral symmetries, there exist new, intrinsically 3D Hall viscosity coefficients that cannot be obtained via a reduction to a quasi-2D system. To study these coefficients, we specialize to a theoretically and experimentally motivated tight-binding model for a chiral magnetic metal in (magnetic) space group [(M)SG] P23 (No. 198.9), a nonpolar group of recent experimental interest that hosts both chiral magnets and topological semimetals (TSMs). Using the Kubo formula for viscosity, we compute two forms of the Hall viscosity, phonon and ``momentum'' (conventional) and show that for the tight-binding model we consider, both forms realize the novel cubic Hall viscosity. We conclude by discussing the implication of our results for transport in 2D magnetic metals and discuss some candidate materials in which these effects may be observed.
arXiv commentv2: Published version. v1: 7+7+epsilon pages, 2 figures
References in corpus (54)
- Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
- Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and p_x+ip_y paired superfluids
- Topological quantum properties of chiral crystals
- High-throughput calculations of magnetic topological materials
- Viscosity of Quantum Hall Fluids
- Large Fermi Arcs in Unconventional Weyl Semimetal RhSi
- Hydrodynamics of electrons in graphene
- Discovery of topological chiral crystals with helicoid arc states
- New classes of chiral topological nodes with non-contractible surface Fermi arcs in CoSi
- Geometrical Description of the Fractional Quantum Hall Effect
- Odd viscosity in chiral active fluids
- Hall Viscosity and Electromagnetic Response
- Measuring Hall Viscosity of Graphene's Electron Fluid
- Chiral Topological Semimetal with Multifold Band Crossings and Long Fermi arcs
- Visualizing Poiseuille flow of hydrodynamic electrons
- Hall viscosity, orbital spin, and geometry: paired superfluids and quantum Hall systems
- Electrical and Thermal Transport at the Planckian Bound of Dissipation in the Hydrodynamic Electron Fluid of WP2
- Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity
- Observation of Topological Photocurrents in the Chiral Weyl Semimetal RhSi
- Elastic Gauge Fields in Weyl Semimetals
- Chiral Optical Response of Multifold Fermions
- Hydrodynamic Electron Flow and Hall Viscosity
- Existence of bulk chiral fermions and crystal symmetry
- Giant topological longitudinal circular photo-galvanic effect in the chiral multifold semimetal CoSi
- Electromagnetic and gravitational responses of two-dimensional non-interacting electrons in background magnetic field
- Observation and control of maximal Chern numbers in a chiral topological semimetal
- Torsional Response and Dissipationless Viscosity in Topological Insulators
- Non-local transport and the Hall viscosity of 2D hydrodynamic electron liquids
- Odd viscosity in active matter: microscopic origin and 3D effects
- Generalized effective hamiltonian for graphene under non-uniform strain
- Transport signatures of Hall viscosity
- Linear and nonlinear optical responses in the chiral multifold semimetal RhSi
- Viscoelastic response of topological tight-binding models in two and three dimensions
- Torsion, Parity-odd Response and Anomalies in Topological States
- Lorentz shear modulus of a two-dimensional electron gas at high magnetic field
- Multifold nodal points in magnetic materials
- Rotational strain in Weyl semimetals: A continuum approach
- Dissipationless Phonon Hall Viscosity
- Phonon dynamics in the Kitaev spin liquid
- Unified description of the classical Hall viscosity
- Intrinsic anomalous Hall conductivity in a nonuniform electric field
- Hall viscosity in quantum systems with discrete symmetry: point group and lattice anisotropy
- Odd viscosity in the quantum critical region of a holographic Weyl semimetal
- Investigating anisotropic quantum Hall states with bi-metric geometry
- Hall viscosity from elastic gauge fields in Dirac crystals
- Dissipative and Hall viscosity of a disordered 2D electron gas
- Extrinsic phonon thermal Hall transport from Hall viscosity
- Elastic response of the electron fluid in intrinsic graphene: The collisionless regime
- Free surface variational principle for an incompressible fluid with odd viscosity
- Phonon Hall viscosity from phonon-spinon interactions
- Viscoelastic response of quantum Hall fluids in a tilted field
- Hall viscosity for optical phonons
- Anomalous Hall viscosity at the Weyl semimetal/insulator transition
- Topological piezoelectric effect and parity anomaly in nodal line semimetals
Cited by in corpus (12)
- Odd Viscosity and Odd Elasticity
- Parallel spin-momentum locking in a chiral topological semimetal
- Embedded Topological Semimetals
- Nonreciprocal electron hydrodynamics under magnetic fields: applications to nonreciprocal surface magnetoplasmons
- Resolving Hall and dissipative viscosity ambiguities via boundary effects
- Plasmonic quantum nonlinear Hall effect in noncentrosymmetric 2D materials
- Hele-Shaw flow for parity odd three-dimensional fluids
- Nonlinear shallow-water waves with vertical odd viscosity
- Viscoelastic tensor and hydrodynamics of altermagnets
- Viscoelastic response and anisotropic hydrodynamics in Weyl semimetals
- Light-induced pseudo-magnetic fields in three-dimensional topological semimetals
- Fermi surface and topology of multiband superconductor BeAu