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arXiv 1001.0375cond-mat.mes-hallcond-mat.stat-mech
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高自旋$s>= 1$二维自旋系统的拓扑激发

Topological excitations in 2D spin system with high spin $s>= 1$

Julia Bernatska, Petro Holod

摘要:

在具有高次幂交换作用的量子海森堡模型所代表的二维自旋系统中,构造了一类平均场的拓扑激发。量子模型与经典模型(连续经典模拟)相关联,经典模型基于Landau-Lifshitz方程,描述了平均场的大尺度波动。另一方面,在自旋为$s$的情况下,经典模型是酉群SU($2s {+} 1$)的余伴随轨道上的哈密顿系统。我们已经发现了一类平均场的配置,可以解释为拓扑激发,因为他们有固定的拓扑电荷。这样的激发改变它们的形状并保持能量增长。

英文摘要:

We construct a class of topological excitations of a mean field in a two-dimensional spin system represented by a quantum Heisenberg model with high powers of exchange interaction. The quantum model is associated with a classical one (the continuous classical analogue) that is based on a Landau-Lifshitz like equation, and describes large-scale fluctuations of the mean field. On the other hand, the classical model is a Hamiltonian system on a coadjoint orbit of the unitary group SU($2s {+} 1$) in the case of spin $s$. We have found a class of mean field configurations that can be interpreted as topological excitations, because they have fixed topological charges. Such excitations change their shapes and grow preserving an energy.

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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