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arXiv 1808.00633cond-mat.str-elhep-th
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关联电子体系中的主手征模型

Principal Chiral Model in Correlated Electron Systems

Cristian D. Batista, Mikhail Shifman, Zhentao Wang, Shang-Shun Zhang

摘要:

讨论了局域序参量由多个自旋矢量表征的非共线磁现象。通过对二维三角晶格和三维烧绿石晶格的简单情形的讨论,我们证明了它们的低能理论可以用一类单参数西格玛模型来描述,该模型对于所有$U\in \text{SU}(2)$都是在经典海森堡模型和主手征模型${\rm Tr} \,\left( \partial_a U \partial_a U^\dagger\right)$之间连续插值的.目标空间可以看作是$CP(1)$空间上的U $(1)$纤维化。我们的模型的3D版本进一步推广到打破空间和自旋旋转对称性$\text{SO}(3) \times \text{SO}(3) \to \text{SO}(3)$。

英文摘要:

We discuss noncollinear magnetic phenomena whose local order parameter is characterized by more than one spin vector. By focusing on the simple cases of 2D triangular and 3D pyrochlore lattices, we demonstrate that their low-energy theories can be described by a one-parametric class of sigma models continuously interpolating between the classical Heisenberg model and the principal chiral model ${\rm Tr} \,\left( \partial_a U \partial_a U^\dagger\right)$ for all $U\in \text{SU}(2)$. The target space can be viewed as a U$(1)$ fibration over the $CP(1)$ space. The 3D version of our model is further generalized to break spatial and spin rotation symmetry $\text{SO}(3) \times \text{SO}(3) \to \text{SO}(3)$.

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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