Frequency splitting of chiral phonons from broken time reversal symmetry in CrI${}_3$

Abstract

Conventional approaches for lattice dynamics based on static interatomic forces do not fully account for the effects of time-reversal-symmetry breaking in magnetic systems. Recent approaches to rectify this involve incorporating the first-order change in forces with atomic velocities under the assumption of adiabatic separation of electronic and nuclear degrees of freedom. In this work, we develop a first-principles method to calculate this velocity-force coupling in extended solids, and show via the example of ferromagnetic CrI${}_3$ that, due to the slow dynamics of the spins in the system, the assumption of adiabatic separation can result in large errors for splittings of zone-center chiral modes. We demonstrate that an accurate description of the lattice dynamics requires treating magnons and phonons on the same footing.

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• On-site and inter-site Hubbard corrections in magnetic monolayers: The case of FePS${}_3$ and CrI${}_3$
• Magnetic switching of phonon angular momentum in a ferrimagnetic insulator
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• Gauge theory of giant phonon magnetic moment in doped Dirac semimetals
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• General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking
• Intrinsic thermal Hall effect of optical phonons enhanced by discrete rotational symmetry
• Pseudo-chiral phonon splitting from octupolar magnetic order