Berry Curvature and Phonon Hall Effect

Details Berry Curvature and Phonon Hall Effect Berry Curvature and Phonon Hall Effect

2011-11-05

arxiv.org/abs/1111.1322v1

Physics

Condensed Matter

Materials Science

4 pages, no figures

Scientific paper

We establish the general phonon dynamics of magnetic solids by incorporating the Mead-Truhlar correction in the Born-Oppenheimer approximation. The effective magnetic-field acting on the phonons naturally emerges, giving rise to the phonon Hall effect. A general formula of the intrinsic phonon Hall conductivity is obtained using the corrected Kubo formula with the energy magnetization contribution properly incorporated. The resulting phonon Hall conductivity is uniquely determined by the phonon Berry curvature and the dispersions. Based on the formula, the topological phonon system could be rigorously defined. In the low temperature regime, we predict that the phonon Hall conductivity is proportional to $T^{3}$ for the ordinary phonon systems, while that for the topological phonon systems has the linear $T$ dependence with the quantized temperature coefficient.

Affiliated with

Also associated with

No associations

Rating

Berry Curvature and Phonon Hall Effect does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Berry Curvature and Phonon Hall Effect, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Berry Curvature and Phonon Hall Effect will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-65446