Phonon helicity and Nieh-Yan Anomaly in the Kramers-Weyl semimetals of Chiral Crystals
arXiv:2104.04859 · doi:10.1103/PhysRevB.106.115102
Abstract
Nieh-Yan anomaly describes the non-conservation of chiral charges induced by the coupling between Dirac fermions and torsion fields. Since the torsion field is beyond general relativity, this effect remains hypothetical and its relevance to our universe is unclear in the context of high-energy physics. In this work, we propose that the phonons can induce a torsion field for the Kramers-Weyl fermions through electron-phonon interaction in a non-magnetic chiral crystal, thus leading to the occurrence of the Nieh-Yan anomaly in this condensed matter system. As a consequence, the Nieh-Yan term can strongly influence the phonon dynamics and lead to the helicity of acoustic phonons, namely, two transverse phonon modes mix with each other to form a circular polarization with a non-zero angular momentum at a finite phonon momentum and the phonon angular momentum reverses its sign for opposite momenta due to time reversal symmetry. The phonon helicity can be probed through measuring the total phonon angular momentum driven by a temperature gradient.
arXiv comment34 pages, 3 figures
References in corpus (81)
- Double-slit photoelectron interference in strong-field ionization of the neon dimer
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
- The Chiral Magnetic Effect
- Energy gaps, topological insulator state and zero-field quantum Hall effect in graphene by strain engineering
- Topological Materials: Weyl Semimetals
- Experimental discovery of Weyl semimetal TaAs
- Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
- Magnetic Weyl Semimetal Phase in a Kagome Crystal
- Recent developments in transport phenomena in Weyl semimetals
- Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals
- Topological quantum properties of chiral crystals
- Valley contrasting chiral phonons in monolayer hexagonal lattices
- Experimental discovery of a topological Weyl semimetal state in TaP
- Discovery of Weyl fermion semimetals and topological Fermi arc states
- Viscosity of Quantum Hall Fluids
- Discovery of topological chiral crystals with helicoid arc states
- Chiral anomaly and transport in Weyl metals
- Chiral gauge field and axial anomaly in a Weyl semi-metal
- Angular Momentum of Phonons and Einstein-de Haas Effect
- Experimental signatures of the mixed axial-gravitational anomaly in the Weyl semimetal NbP
- Chiral Topological Semimetal with Multifold Band Crossings and Long Fermi arcs
- Notes on Anomaly Induced Transport
- Elastic Gauge Fields in Weyl Semimetals
- Chiral anomaly from strain-induced gauge fields in Dirac and Weyl semimetals
- Topological Invariants, Instantons and Chiral Anomaly on Spaces with Torsion
- Torsional Anomalies, Hall Viscosity, and Bulk-boundary Correspondence in Topological States
- Orbital magnetic moments of phonons
- Observation and control of maximal Chern numbers in a chiral topological semimetal
- Inhomogeneous Weyl and Dirac semimetals: Transport in axial magnetic fields and Fermi arc surface states from pseudo Landau levels
- Plasmon mode as a detection of the chiral anomaly in Weyl semimetals
- Axial-field-induced chiral channels in an acoustic Weyl system
- A condensed matter realization of the axial magnetic effect
- Low-energy effective theory in the bulk for transport in a topological phase
- Phonon Angular Momentum Induced by Temperature Gradient
- Pseudo-electromagnetic fields in topological semimetals
- Angular momentum in spin-phonon processes
- Torsional chiral magnetic effect in Weyl semimetal with topological defect
- Viscoelastic response of topological tight-binding models in two and three dimensions
- Torsion, Parity-odd Response and Anomalies in Topological States
- Chiral Phonon Transport Induced by Topological Magnons
- Phonon angular momentum Hall effect
- Emergent spacetime and gravitational Nieh-Yan anomaly in chiral Weyl superfluids and superconductors
- Designer curved-space geometry for relativistic fermions in Weyl metamaterials
- Comment on: Topological Invariants, instantons, and the chiral anomaly on spaces with torsion
- Signatures of the chiral anomaly in phonon dynamics
- Dissipationless Phonon Hall Viscosity
- Mixed axial-torsional anomaly in Weyl semimetals
- On the chiral anomaly in non-Riemannian spacetimes
- Emergent gravity and chiral anomaly in Dirac semimetals in the presence of dislocations
- Soft phonons and ultralow lattice thermal conductivity in the Dirac semimetal Cd3As2
- Quantum many-body dynamics of the Einstein-de Haas effect
- Topological Singularity Induced Chiral Kohn Anomaly in a Weyl Semimetal
- Torsional Landau levels and geometric anomalies in condensed matter Weyl systems
- Chiral torsional effect
- Nieh-Yan Anomaly: Torsional Landau Levels, central charge and anomalous thermal Hall effect
- Supersymmetric Particle in a Spacetime with Torsion and the Index Theorem
- Curved spacetime theory of inhomogeneous Weyl materials
- Emergent gravity in the cubic tight-binding model of Weyl semimetal in the presence of elastic deformations
- Kramers Weyl Semimetals as Quantum Solenoids and Their Applications in Spin-Orbit Torque Devices
- Phonon helicity induced by electronic Berry curvature in Dirac materials
- Phonon rotoelectric effect
- On thermal Nieh-Yan anomaly in Weyl superfluids
- Topological magnetotorsional effect in Weyl semimetals
- Reply to the comment by D. Kreimer and E. Mielke
- Phonon magnetochiral effect of band-geometric origin in Weyl semimetals
- Chiral Magnetic Photocurrent in Dirac and Weyl Materials
- Electron-spin dynamics induced by photon spins
- Chiral sound waves in strained Weyl semimetals
- Lattice field theory with torsion
- Influence of Landau levels in the phonon dispersion of Weyl semimetals
- On thermal Nieh-Yan anomaly in topological Weyl materials
- Adler-Bell-Jackiw anomaly, the Nieh-Yan form, and vacuum polarization
- Hamiltonian approach to the torsional anomalies and its dimensional ladder
- Hall viscosity for optical phonons
- Chiral Anomaly in Contorted Spacetimes
- Thermoelectric transport in torsional strained Weyl semimetals
- Anomalous sound attenuation in Weyl semimetals in magnetic and pseudomagnetic fields
- Chiral transport of pseudo-spinors induced by synthetic gravitational field in photonic Weyl metamaterials
- Pseudo-gauge Fields in Dirac and Weyl Materials
- Torsional Anomalies and Bulk-Dislocation Correspondence in Weyl Systems