论文标题
蜂窝晶格上木元素的轨道角动量的确切结果
Exact Results for the Orbital Angular Momentum of Magnons on Honeycomb Lattices
论文作者
论文摘要
在dzyallonshinskii-moriya（DM）相互作用的情况下，我们在高磁（FM）和抗磁磁性（AF）蜂窝状晶格的高对称点和抗铁磁（AF）的高对称点上获得了轨道角动量（OAM）的确切结果。对于FM蜂窝晶格，在没有DM相互作用的情况下，在Brillouin Zone（Bz）角的OAM值（$ {\ bf k} _1^*=（0,2 \ sqrt {3}/9）/9）2π/a $，$ {\ bf k} _2^*=（1/3，\ sqrt {3}/9）2π/a，\ ldots $）交替使用$ \ pm 3 \ hbar/16 $，对于这两个磁杆带/16 $。 DM相互作用的存在通过打破两个镁带的堕落性来极大地改变了这些值。对于下磁杆带，OAM值交替为$ 3 \ hbar /8 $，为0 $ -3 \ hbar /8 $，上层磁杆频段为0。对于AF蜂窝晶格，Bz角落的OAM值为$ \ MP（3 \ HBAR /16）κ$在一个退化的磁杆带上和$ \ pm（3 \ hbar /8）（1+κ /2）$中，另一个$κ$ the $κ$ then $κ$κ均独立于Anisotrpopy和dm insutction and insutction and and ins ins ins ins ins ins ins ins ins ins dms dms dms dms dms dms dms dms dms dms dms dms dms dms dms dms dms dms dms dms dms Insution。
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.
