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arXiv 2207.09883cond-mat.mtrl-sci
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蜂窝晶格上磁振子轨道Angular Momentum的精确结果

Exact Results for the Orbital Angular Momentum of Magnons on Honeycomb Lattices

Randy S. Fishman, Lucas Lindsay, Satoshi Okamoto

摘要:

我们获得了在Dzyallonshinskiii-Moriya(DM)相互作用下铁磁(FM)和反铁磁(AF)蜂窝晶格高对称点处磁振子轨道角动量(OAM)的精确结果.对于FM蜂窝晶格,在没有DM相互作用的情况下,在布里渊区(BZ)的角处的OAM值(${\bf k}_1^*=(0,2\sqrt{3}/9)2π/a $,${\bf k}_2^*=(1/3,\sqrt{3}/9)2π/a ,\ldots $)对于两个磁振子带交替为$\pm 3\hbar /16$。DM相互作用的存在通过破坏两个磁振子带的简并性而显著改变了这些值。对于下磁振子带,OAM值交替为$3\hbar /8$和0,对于上磁振子带,OAM值交替为$-3\hbar /8$和0。对于AF蜂窝晶格,在BZ的角落处的OAM的值是在一个简并磁振子带上的$\mp (3\hbar /16)κ$和在另一个上的$\pm (3\hbar /8) (1+κ/2)$,其中$κ$测量各向异性,并且结果与DM相互作用无关。

英文摘要:

We obtain exact results for the orbital angular momentum (OAM) of magnons at the high symmetry points of ferromagnetic (FM) and antiferromagnetic (AF) honeycomb lattices in the presence of Dzyallonshinskii-Moriya (DM) interactions. For the FM honeycomb lattice in the absence of DM interactions, the values of the OAM at the corners of the Brillouin zone (BZ) (${\bf k}_1^*=(0,2\sqrt{3}/9)2π/a $, ${\bf k}_2^*=(1/3,\sqrt{3}/9)2π/a ,\ldots $) are alternately $\pm 3\hbar /16$ for both magnon bands. The presence of DM interactions dramatically changes those values by breaking the degeneracy of the two magnon bands. The OAM values are alternately $3\hbar /8$ and 0 for the lower magnon band and $-3\hbar /8$ and 0 for the upper magnon band. For the AF honeycomb lattice, the values of the OAM at the corners of the BZ are $\mp (3\hbar /16)κ$ on one of the degenerate magnon bands and $\pm (3\hbar /8) (1+κ/2)$ on the other, where $κ$ measures the anisotropy and the result is independent of the DM interaction.

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