Please use this identifier to cite or link to this item: https://doi.org/10.1088/0953-8984/23/30/305402
Title: The phonon Hall effect: Theory and application
Authors: Zhang, L. 
Ren, J.
Wang, J.-S. 
Li, B. 
Issue Date: 3-Aug-2011
Source: Zhang, L., Ren, J., Wang, J.-S., Li, B. (2011-08-03). The phonon Hall effect: Theory and application. Journal of Physics Condensed Matter 23 (30) : -. ScholarBank@NUS Repository. https://doi.org/10.1088/0953-8984/23/30/305402
Abstract: 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-Hermitian 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 the 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, Γ, K, X, in the wavevector space of the kagome lattice. © 2011 IOP Publishing Ltd.
Source Title: Journal of Physics Condensed Matter
URI: http://scholarbank.nus.edu.sg/handle/10635/98309
ISSN: 09538984
DOI: 10.1088/0953-8984/23/30/305402
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