Thermal Hall effect of spins in a paramagnet

Hyunyong Lee, Jung Hoon Han, and Patrick A. Lee
Phys. Rev. B 91, 125413 – Published 10 March 2015

Abstract

The theory of Hall transport of spins in a correlated paramagnetic phase is developed. By identifying the thermal Hall current operator in the spin language, which turns out to equal the spin chirality in the pure Heisenberg model, various response functions can be derived straightforwardly. Subsequent reduction to the Schwinger-boson representation of spins allows a convenient calculation of thermal and spin Hall coefficients in the paramagnetic regime using self-consistent mean-field theory. A comparison is made to results from the Holstein-Primakoff reduction of spin operators appropriate for ordered phases.

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  • Received 15 October 2014
  • Revised 23 February 2015

DOI:https://doi.org/10.1103/PhysRevB.91.125413

©2015 American Physical Society

Authors & Affiliations

Hyunyong Lee1, Jung Hoon Han1,*, and Patrick A. Lee2,†

  • 1Department of Physics, Sungkyunkwan University, Suwon 440-746, Korea
  • 2Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

  • *hanjh@skku.edu
  • palee@mit.edu

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Issue

Vol. 91, Iss. 12 — 15 March 2015

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