Physics – Condensed Matter – Materials Science
Scientific paper
2011-01-27
J. Phys.: Condens. Matter 23, 305402 (2011)
Physics
Condensed Matter
Materials Science
19 pages, 6 figures
Scientific paper
10.1088/0953-8984/23/30/305402
We present a systematic theory of the phonon Hall effect in a ballistic crystal lattice system, and apply it on the kagome lattice which is ubiquitous in various real materials. By proposing a proper second quantization for the non-Hermite Hamiltonian in the polarization-vector space, we obtain a new heat current density operator with two separate contributions: the normal velocity responsible for the longitudinal phonon transport, and the anomalous velocity manifesting itself as the Hall effect of transverse phonon transport. As exemplified in kagome lattices, our theory predicts that the direction of Hall conductivity at low magnetic field can be reversed by tuning temperatures, which we hope can be verified by experiments in the future. Three phonon-Hall-conductivity singularities induced by phonon-band-topology change are discovered as well, which correspond to the degeneracies at three different symmetric center points, \Gamma, K, X, in the wave-vector space of the kagome lattice.
Li Baowen
Ren Jie
Wang Jian-Sheng
Zhang Lifa
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