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arXiv 1411.2452cond-mat.str-elcond-mat.stat-mech
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含Skyrmion铁磁体中的磁振子谱

Magnon spectrum in ferromagnets with a skyrmion

D. N. Aristov, S. S. Kravchenko, A. O. Sorokin

摘要:

用单个Skyrmion在基态对二维各向同性海森堡铁磁体中的自旋波激发进行了分析。我们采用半经典量子化方法的思想,适当修改的晶格模型和自旋算符的Maleyev-Dyson玻色子表示的使用。由此得到的磁振子薛定谔方程描述了自旋波激发的色散和波函数,具有严格的非负谱。与通常的铁磁体相反,我们证明了三个零模式的存在,对应于自发违反的Skyrmion配置的共形对称性。

英文摘要:

The analysis of the spin wave excitations in two-dimensional isotropic Heisenberg ferromagnet is performed with a single skyrmion in the ground state. We employ the ideas of semiclassical quantization method, duly modified for the use of the lattice model and Maleyev-Dyson boson representation of spin operators. The resulting Schrödinger equation for magnons describes the dispersion and wave functions of spin-wave excitations with strictly non-negative spectrum. In contrast to usual ferromagnet, we demonstrate the existence of three zero modes, corresponding to conformal symmetries spontaneously violated by the skyrmion configuration.

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