Lattice dynamics with molecular Berry curvature: chiral optical phonons

Abstract

Under the Born-Oppenheimer approximation, the electronic ground state evolves adiabatically and can accumulate geometrical phases characterized by the molecular Berry curvature. In this work, we study the effect of the molecular Berry curvature on the lattice dynamics in a system with broken time-reversal symmetry. The molecular Berry curvature is formulated based on the single-particle electronic Bloch states. It manifests as a non-local effective magnetic field in the equations of motion of the ions that are beyond the widely adopted Raman spin-lattice coupling model. We employ the Bogoliubov transformation to solve the quantized equations of motion and to obtain phonon polarization vectors. We apply our formula to the Haldane model on a honeycomb lattice and find a large molecular Berry curvature around the Brillouin zone center. As a result, the degeneracy of the optical branches at this point is lifted intrinsically. The lifted optical phonons show circular polarizations, possess large phonon Berry curvature, and have a nearly quantized angular momentum that modifies the Einstein-de Haas effect.

3 figures, 6 pages

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• Adiabatic dynamics of coupled spins and phonons in magnetic insulators
• Chiral-phonon-induced current in helical crystals
• Phonon Inverse Faraday effect from electron-phonon coupling
• Acoustic resonators: symmetry classification and multipolar content of the eigenmodes
• Exciton-activated effective phonon magnetic moment in monolayer MoS2
• Detection of phonon helicity in nonchiral crystals with Raman scattering
• Extrinsic Mechanisms of Phonon Magnetic Moment
• Chiral phonons induced from spin dynamics via magnetoelastic anisotropy
• Comprehensive Study of Phonon Chirality under Symmetry Constraints
• Theory of spin Seebeck effect activated by acoustic chiral phonons
• Nonreciprocal phonons in PT-symmetric antiferromagnet
• General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking
• Coupling of acoustic phonon to a spin-orbit entangled pseudospin
• Inherited Berry curvature of phonons in Dirac materials with time-reversal symmetry
• Intrinsic thermal Hall effect of optical phonons enhanced by discrete rotational symmetry