Berry curvature and the phonon Hall effect

By T. Qin, Jianhui Zhou, Jun-ren Shi. 2011

146 citations recorded by the source corpus.

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 by using the corrected Kubo formula with the energy magnetization contribution incorporated properly. The resulting phonon Hall conductivity is fully 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.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/61d41236540702654baa776cf604643a4c1e14b4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Xiaobo Yin
2. Ronggui Yang
3. Baowen Li

In Materials Chemistry

1. Xiaobo Yin
2. Yujie Wei
3. Baowen Li
4. Xiaokun Gu
5. Ronggui Yang
6. Gang Zhang
7. Gang Chen
8. Yong‐Wei Zhang

Citations in the corpus

• Colloquium: Phononic thermal properties of two-dimensional materials (2017, background): “Additional analysis by Qin, Zhou, and Shi (2012) confirmed that the thermal conductivity in the Hall regime is the same as that of a series of 1D quantum wires, which is consistent with the expectation that a topological material develops nontrivial edge modes.”