Topological Nature of the Phonon Hall Effect
Materials Science
2011-01-28 v3 Mesoscale and Nanoscale Physics
Statistical Mechanics
General Physics
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.
Keywords
Cite
@article{arxiv.1008.0458,
title = {Topological Nature of the Phonon Hall Effect},
author = {Lifa Zhang and Jie Ren and Jian-Sheng Wang and Baowen Li},
journal= {arXiv preprint arXiv:1008.0458},
year = {2011}
}
Comments
12 pages, 4 figures. Detailed supplementary file is included