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arXiv 1702.02575cond-mat.mes-hallcond-mat.mtrl-scicond-mat.str-el
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磁振子自旋-动量锁定:非共线反铁磁体中的各种自旋涡旋和Dirac磁振子

Magnon Spin-Momentum Locking: Various Spin Vortices and Dirac Magnons in Noncollinear Antiferromagnets

Nobuyuki Okuma

摘要:

本文将自旋动量锁定的概念推广到磁振子系统,导出了一般两体自旋哈密顿量的单磁振子态自旋期望值的计算公式。我们给出了磁振子自旋与动量无关的不通过条件。作为磁振子自旋动量锁定的例子,我们分析了一维Néel序反铁磁体和二维kagome晶格反铁磁体的120 $^\circ$结构。我们发现,即使当哈密顿量具有$z$轴自旋旋转对称性时,磁振子自旋也依赖于其动量,这可以用奇异带点或$U(1)$对称性破缺来解释。在kagome晶格反铁磁体中产生的动量空间中的自旋涡旋具有缠绕数$Q=-2$,而在拓扑绝缘体表面态中观察到的典型自旋涡旋的特征为$Q=+1$。在另一个可果美晶格反铁磁体中发现了表面态的磁振子类似物,即具有$Q=+1$的狄拉克磁振子。利用Poincaré-Hopf指标定理,我们还导出了$Q$的求和规则.

英文摘要:

We generalize the concept of the spin-momentum locking to magnonic systems and derive the formula to calculate the spin expectation value for one-magnon states of general two-body spin Hamiltonians. We give no-go conditions for magnon spin to be independent of momentum. As examples of the magnon spin-momentum locking, we analyze a one-dimensional antiferromagnet with the Néel order and two-dimensional kagome lattice antiferromagnets with the 120$^\circ$ structure. We find that the magnon spin depends on its momentum even when the Hamiltonian has the $z$-axis spin rotational symmetry, which can be explained in the context of a singular band point or a $U(1)$ symmetry breaking. A spin vortex in momentum space generated in a kagome lattice antiferromagnet has the winding number $Q=-2$, while the typical one observed in topological insulator surface states is characterized by $Q=+1$. A magnonic analogue of the surface states, the Dirac magnon with $Q=+1$, is found in another kagome lattice antiferromagnet. We also derive the sum rule for $Q$ by using the Poincaré-Hopf index theorem.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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