Hall viscosity for optical phonons

Abstract

We generalize the notion of dissipationless, topological Hall viscosity tensor to optical phonons in thin film Weyl semimetals. By using the strained Porphyrin thin film Weyl semimetal as a model example, we show how optical phonons can couple to Weyl electrons as chiral pseudo gauge fields. These chiral vector fields lead to a novel dissipationless two-rank viscosity tensor in the effective dynamics of optical phonons whose origin is the chiral anomaly. We also compute the contribution to this two rank Hall viscosity tensor due to the presence of an external magnetic field, whose origin is the conventional Hall response of Weyl electrons. Finally, the phonon dispersion relations of the system at the long-wavelength limit with and without an electromagnetic field are calculated showing a measurable shift in the Raman response of the system. Our results can be investigated by Raman scattering or infrared spectroscopy by attenuated total reflectance experiments.

13 pages, 5 figures, To appear in Phys. Rev. B

References in corpus (22)

• The Chiral Magnetic Effect
• Giant anomalous Hall effect in a ferromagnetic Kagome-lattice semimetal
• Topological response in Weyl semimetals and the chiral anomaly
• Evidence for Magnetic Weyl Fermions in a Correlated Metal
• Giant anomalous Nernst effect and quantum-critical scaling in a ferromagnetic semimetal
• Chiral Anomaly and Diffusive Magnetotransport in Weyl Metals
• Planar Hall effect in the Weyl semimetal GdPtBi
• Chiral anomaly from strain-induced gauge fields in Dirac and Weyl semimetals
• Giant anisotropic magnetoresistance and planar Hall effect in the Dirac semimetal Cd3As2
• Axial-field-induced chiral channels in an acoustic Weyl system
• Strain induced Chiral Magnetic Effect in Weyl semimetals
• Consistent Chiral Kinetic Theory in Weyl Materials: Chiral Magnetic Plasmons
• Hall viscosity, topological states and effective theories
• Detecting Chiral Magnetic Effect by Lattice Dynamics
• Tunable axial gauge fields in engineered Weyl semimetals: Semiclassical analysis and optical lattice implementations
• Chiral magnetic plasmons in anomalous relativistic matter
• Elastic Gauge Fields and Hall Viscosity of Dirac Magnons
• Landau levels from neutral Bogoliubov particles in two-dimensional nodal superconductors under strain and doping gradients
• Pseudo-Landau levels of Bogoliubov quasiparticles in strained nodal superconductors
• Weyl fermions induced Magnon electrodynamics in Weyl semimetal
• Influence of Landau levels in the phonon dispersion of Weyl semimetals
• Spontaneous mass generation due to phonons in a two-dimensional Dirac fermion system

Cited by in corpus (11)

• Lattice dynamics with molecular Berry curvature: chiral optical phonons
• Phonon helicity induced by electronic Berry curvature in Dirac materials
• Extrinsic phonon thermal Hall transport from Hall viscosity
• Chiral Hall effect in strained Weyl semimetals
• Cubic Hall viscosity in three-dimensional topological semimetals
• Pseudo-gauge Fields in Dirac and Weyl Materials
• Gauge theory of giant phonon magnetic moment in doped Dirac semimetals
• Symmetry-driven Phononic Metamaterials
• Phonon helicity and Nieh-Yan Anomaly in the Kramers-Weyl semimetals of Chiral Crystals
• Anomalous plasmon mode in strained Weyl semimetals
• Probing domain wall dynamics in magnetic Weyl semimetals via the non-linear anomalous Hall effect