Topological Nature of the Phonon Hall Effect
arXiv:1008.0458 · doi:10.1103/PhysRevLett.105.225901
Abstract
We provide a topological understanding on phonon Hall effect in dielectrics with Raman spinphonon coupling. A general expression for phonon Hall conductivity is obtained in terms of the Berry curvature of band structures. We find a nonmonotonic behavior of phonon Hall conductivity as a function of magnetic field. Moreover, we observe a phase transition in phonon Hall effect, which corresponds to the sudden change of band topology, characterized by the altering of integer Chern numbers. This can be explained by touching and splitting of phonon bands.
12 pages, 4 figures. Detailed supplementary file is included
References in corpus (7)
- The Quantum Spin Hall Effect: Theory and Experiment
- Observation of the Magnon Hall Effect
- Thermal Logic Gates: Computation with phonons
- Thermal memory: a storage of phononic information
- Berry-Phase induced Heat Pumping and its Impact on the Fluctuation Theorem
- Anomalous Hall effect for the phonon heat conductivity in paramagnetic dielectric
- Phonon Hall thermal conductivity from Green-Kubo formula