论文标题

确切的结果与二维强相关系统中的自旋轨相互作用有关

Exact results relating spin-orbit interactions in two dimensional strongly correlated systems

论文作者

Kucska, Nóra, Gulácsi, Zsolt

论文摘要

通过阳性半芬矿算子的方法,在存在多体旋转轨道相互作用的情况下,精确地分析了一个2D正方形的两种波段,密切相关和不可融合的系统。在高浓度极限中推导的精确基态被牢固地纠缠,并且通过自旋轨道耦合给出铁磁磁性,并具有增强的载流子迁移率,这在不同的自旋投影方面大不相同。所描述的状态出现在受限制的参数空间区域中,但是在实验中明显可访问。通过包含74个耦合,非线性和复杂代数方程的方程组的匹配系统的解决方案提供了确切的解。据我们所知,文献中不存在与旋转轨道相互作用的2D相互作用系统的其他确切结果。

A 2D square, two-bands, strongly correlated and non-integrable system is analysed exactly in the presence of many-body spin-orbit interactions via the method of Positive Semidefinite Operators. The deduced exact ground states in the high concentration limit are strongly entangled, and given by the spin-orbit coupling are ferromagnetic and present an enhanced carrier mobility, which substantially differs for different spin projections. The described state emerges in a restricted parameter space region, which however is clearly accessible experimentally. The exact solutions are provided via the solution of a matching system of equations containing 74 coupled, non-linear and complex algebraic equations. In our knowledge, other exact results for 2D interacting systems with spin-orbit interactions are not present in the literature.

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