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Title: Topological honeycomb magnon Hall effect: A calculation of thermal Hall conductivity of magnetic spin excitations

Abstract

Quite recently, the magnon Hall effect of spin excitations has been observed experimentally on the kagome and pyrochlore lattices. The thermal Hall conductivity κ{sup xy} changes sign as a function of magnetic field or temperature on the kagome lattice, and κ{sup xy} changes sign upon reversing the sign of the magnetic field on the pyrochlore lattice. Motivated by these recent exciting experimental observations, we theoretically propose a simple realization of the magnon Hall effect in a two-band model on the honeycomb lattice. The magnon Hall effect of spin excitations arises in the usual way via the breaking of inversion symmetry of the lattice, however, by a next-nearest-neighbour Dzyaloshinsky-Moriya interaction. We find that κ{sup xy} has a fixed sign for all parameter regimes considered. These results are in contrast to the Lieb, kagome, and pyrochlore lattices. We further show that the low-temperature dependence on the magnon Hall conductivity follows a T{sup 2} law, as opposed to the kagome and pyrochlore lattices. These results suggest an experimental procedure to measure thermal Hall conductivity within a class of 2D honeycomb quantum magnets and ultracold atoms trapped in a honeycomb optical lattice.

Authors:
 [1]
  1. African Institute for Mathematical Sciences, 6 Melrose Road, Muizenberg, Cape Town 7945, South Africa and Perimeter Institute for Theoretical Physics, 31 Caroline St. N., Waterloo, Ontario N2L 2Y5 (Canada)
Publication Date:
OSTI Identifier:
22597777
Resource Type:
Journal Article
Journal Name:
Journal of Applied Physics
Additional Journal Information:
Journal Volume: 120; Journal Issue: 4; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-8979
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ATOMS; EXCITATION; HALL EFFECT; MAGNETIC FIELDS; MAGNETS; PYROCHLORE; SPIN; TEMPERATURE DEPENDENCE; TEMPERATURE RANGE 0065-0273 K; TOPOLOGY; TWO-DIMENSIONAL CALCULATIONS

Citation Formats

Owerre, S. A., E-mail: solomon@aims.ac.za. Topological honeycomb magnon Hall effect: A calculation of thermal Hall conductivity of magnetic spin excitations. United States: N. p., 2016. Web. doi:10.1063/1.4959815.
Owerre, S. A., E-mail: solomon@aims.ac.za. Topological honeycomb magnon Hall effect: A calculation of thermal Hall conductivity of magnetic spin excitations. United States. https://doi.org/10.1063/1.4959815
Owerre, S. A., E-mail: solomon@aims.ac.za. Thu . "Topological honeycomb magnon Hall effect: A calculation of thermal Hall conductivity of magnetic spin excitations". United States. https://doi.org/10.1063/1.4959815.
@article{osti_22597777,
title = {Topological honeycomb magnon Hall effect: A calculation of thermal Hall conductivity of magnetic spin excitations},
author = {Owerre, S. A., E-mail: solomon@aims.ac.za},
abstractNote = {Quite recently, the magnon Hall effect of spin excitations has been observed experimentally on the kagome and pyrochlore lattices. The thermal Hall conductivity κ{sup xy} changes sign as a function of magnetic field or temperature on the kagome lattice, and κ{sup xy} changes sign upon reversing the sign of the magnetic field on the pyrochlore lattice. Motivated by these recent exciting experimental observations, we theoretically propose a simple realization of the magnon Hall effect in a two-band model on the honeycomb lattice. The magnon Hall effect of spin excitations arises in the usual way via the breaking of inversion symmetry of the lattice, however, by a next-nearest-neighbour Dzyaloshinsky-Moriya interaction. We find that κ{sup xy} has a fixed sign for all parameter regimes considered. These results are in contrast to the Lieb, kagome, and pyrochlore lattices. We further show that the low-temperature dependence on the magnon Hall conductivity follows a T{sup 2} law, as opposed to the kagome and pyrochlore lattices. These results suggest an experimental procedure to measure thermal Hall conductivity within a class of 2D honeycomb quantum magnets and ultracold atoms trapped in a honeycomb optical lattice.},
doi = {10.1063/1.4959815},
url = {https://www.osti.gov/biblio/22597777}, journal = {Journal of Applied Physics},
issn = {0021-8979},
number = 4,
volume = 120,
place = {United States},
year = {2016},
month = {7}
}