Spin-Nernst effect in the paramagnetic regime of an antiferromagnetic insulator

Yinhan Zhang, Satoshi Okamoto, Di Xiao

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Abstract

We theoretically investigate a pure spin Hall current driven by a longitudinal temperature gradient, i.e., the spin Nernst effect (SNE), in a paramagnetic state of a collinear antiferromagnetic insulator with the Dzyaloshinskii-Moriya interaction. The SNE in a magnetic ordered state in such an insulator was proposed by Cheng et al. [R. Cheng, S. Okamoto, and D. Xiao, Phys. Rev. Lett. 117, 217202 (2016)PRLTAO0031-900710.1103/PhysRevLett.117.217202]. Here we show that the Dzyaloshinskii-Moriya interaction can generate a pure spin Hall current even without magnetic ordering. By using a Schwinger boson mean-field theory, we calculate the temperature dependence of SNE in a disordered phase. We also discuss the implication of our results to experimental realizations.

Original languageEnglish
Article number035424
JournalPhysical Review B
Volume98
Issue number3
DOIs
StatePublished - Jul 19 2018

Funding

We are grateful to Ying Ran for discussions. We also acknowledge useful discussions with Ran Cheng, Rina Takashima, Yang Gao, and Wenyu Shan. Y.Z. and D.X. are supported by the Department of Energy, Basic Energy Sciences, Grant No. DE-SC0012509. S.O. acknowledges support by the US Department of Energy, Office of Science, Basic Energy Sciences, Materials Sciences and Engineering Division.

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