Thermal Hall effect, spin Nernst effect, and spin density induced by thermal gradient in collinear ferrimagnets from magnon-phonon interaction
2020
We
theoretically study the intrinsic thermal Hall and spin Nernst
effect in collinear ferrimagnets on a honeycomb lattice with broken
inversion symmetry. The broken inversion symmetry allows in-plane
Dzyaloshinskii–Moriya interaction between the nearest neighbors,
which does not affect the linear spin wave theory. However, the Dzyaloshinskii–Moriya
interaction induces large Berry curvature in the magnetoelastic excitations
through the magnon–phonon interaction (MPI) to produce thermal
Hall current. Furthermore, the magnetoelastic excitations transport
spin, which is inherited from the magnons. Therefore, spin Nernst
current accompanies the thermal Hall current. Because the MPI does
not conserve the spin, we examine the spatial distribution of spin
induced by a thermal gradient in the system having a stripe geometry.
We find that spin is accumulated at the edges, reflecting the spin
Nernst current. We also find that the total spin of the systemand,
therefore, the magnetizationis changed, because of the thermal
gradient and MPI.
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