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Thermal Hall effect from a two-dimensional Schwinger boson gas with Rashba spin-orbit interaction: Application to ferromagnets with in-plane Dzyaloshinskii-Moriya interaction

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Title
Thermal Hall effect from a two-dimensional Schwinger boson gas with Rashba spin-orbit interaction: Application to ferromagnets with in-plane Dzyaloshinskii-Moriya interaction
Author(s)
Sungjoon Park; Bohm-Jung Yang
Publication Date
2020-12
Journal
PHYSICAL REVIEW B, v.102, no.21, pp.1 - 8
Publisher
AMER PHYSICAL SOC
Abstract
Recently, uncovering the sources of the thermal Hall effect in insulators has become an important issue. In the case of ferromagnetic insulators, it is well known that the Dzyaloshinskii-Moriya (DM) interaction can induce a magnon thermal Hall effect. Specifically, the DM vector parallel to the magnetization direction induces complex magnon hopping amplitudes, so that magnons act as if they feel Lorentz force. However, the DM vector which is orthogonal to the magnetization direction has hitherto been neglected as a possible source of magnon thermal Hall effect. This is because they play no role in the linear spin wave theory, an often invoked approximation when computing the magnon thermal Hall effect. Here, we challenge this expectation by presenting a self-consistent Schwinger boson mean-field study of two-dimensional magnets with ferromagnetic Heisenberg interaction and in-plane DM interaction. We find that the relevant Schwinger boson mean-field Hamiltonian takes the form of a two-dimensional electron gas with Rashba spin-orbit interaction, which is known to show an anomalous Hall effect, spin Hall effect, and Rashba-Edelstein effect, whose thermal counterparts also appear in our system. Importantly, the thermal Hall effect can be induced when out-of-plane magnetic field is applied and persists even when the magnetic field is large, so that the spins are significantly polarized, and the linear spin wave theory is expected to be a reasonable approximation. Since the linear spin wave theory predicts a vanishing thermal Hall effect, our result implies that a linear spin wave is not a sufficient approximation and that magnon-magnon interaction must be taken into account to predict the correct thermal Hall conductivity.
URI
https://pr.ibs.re.kr/handle/8788114/9105
DOI
10.1103/PhysRevB.102.214421
ISSN
2469-9950
Appears in Collections:
Center for Correlated Electron Systems(강상관계 물질 연구단) > 1. Journal Papers (저널논문)
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