Phonon helicity induced by electronic Berry curvature in Dirac materials

Abstract

In two-dimensional insulators with time-reversal (TR) symmetry, a nonzero local Berry curvature of low-energy massive Dirac fermions can give rise to nontrivial spin and charge responses, even though the integral of the Berry curvature over all occupied states is zero. In this work, we present a new effect induced by the electronic Berry curvature. By studying electron-phonon interactions in BaMnSb${}_2$, a prototype two-dimensional Dirac material possessing two TR-related massive Dirac cones, we find that the nonzero local Berry curvature of electrons can induce a phonon angular momentum. The direction of this phonon angular momentum is locked to the phonon propagation direction, and thus we refer it as "phonon helicity", in a way that is reminiscent of electron helicity in spin-orbit-coupled electronic systems. We discuss possible experimental probes of such phonon helicity.

4+20 pages, 3+3 figures. All comments are welcome!

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Cited by in corpus (22)

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• Lattice dynamics with molecular Berry curvature: chiral optical phonons
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• Detection of phonon helicity in nonchiral crystals with Raman scattering
• Extrinsic Mechanisms of Phonon Magnetic Moment
• Holstein polaron in a pseudospin-$1$ quantum spin Hall system: first and second order topological phase transitions
• Comprehensive Study of Phonon Chirality under Symmetry Constraints
• Nonreciprocal phonons in PT-symmetric antiferromagnet
• Gauge theory of giant phonon magnetic moment in doped Dirac semimetals
• Phonon helicity and Nieh-Yan Anomaly in the Kramers-Weyl semimetals of Chiral Crystals
• Coexistent topological and chiral phonons in chiral RhGe: An ab initio study
• Anomalous circular phonon dichroism in transition metal dichalcogenides
• Nonreciprocal phonon dichroism induced by Fermi pocket anisotropy in two-dimensional Dirac materials
• Dynamic dielectric function and phonon self-energy from electrons strongly correlated with acoustic phonons in 2D Dirac crystals
• Raman tensor for two-dimensional massive Dirac fermions
• Magnetic Signature of Chiral Phonons Revealed by Neutron Spectroscopy in Ferrimagnetic Fe${}_{1.75}$Zn${}_{0.25}$Mo${}_3$O${}_8$
• Emergent topological phases and coexistence of gapless and spectral-localized Floquet quantum spin Hall states via electron-phonon interaction
• Topological characterization of magnon-polaron bands and thermal Hall conductivity in a frustrated kagome antiferromagnet
• Quantum geometry in correlated electron phases: from flat band to dispersive band
• Localized interfacial Phonon Modes at the Electronic Axion Domain Wall
• Inherited Berry curvature of phonons in Dirac materials with time-reversal symmetry
• Pseudo-chiral phonon splitting from octupolar magnetic order