论文标题
强烈相互作用的自旋轨道耦合系统对Zeeman场的响应
Response of a strongly interacting spin-orbit coupling system to a Zeeman field
论文作者
论文摘要
强烈的旋转轨道耦合系统可以处于零场的磁性阶相。但是，采面领域可以将其驱动到不同的量子或拓扑阶段。在这项工作中，从一般对称性原理开始，我们构建了各种有效的作用，以研究所有这些量子相和相变，这些量子相和相变的形式取决于凝结量，这些量子相位是相称的或同意的。 我们不仅恢复了所有这些量子阶段及其通过微观计算实现的激发，而且还发现了具有动态指数的几类新型量子相变，$ z = 1，z = 2 $和各向异性的$（z_x = 3/2，z_y = 3）$。我们确定量子自旋与显示丰富的旋转轨道结构的有效作用的顺序参数之间的关系。我们找到了一种新型的危险无关的操作员，我们将其命名为II型，与已知的我们命名为I型II。我们探索了一种称为顺序参数分馏的新现象，其中一个复杂的顺序参数分为两个，该参数与量子自旋分级化不同，将其分为两个和$ Z_2 $通量。提出了有限温度转换。评估动态自旋旋转相关函数。讨论了热厅的电导率。简要概述了$ u（1）_ {SOC} $对称性的案例。鉴于在光学晶格中为冷原子生成2D SOC的最新实验进步，可以在不久的将来的冷原子实验中探索这些新的多体现象。对各种SOC材料（例如Mnsi，fe $ _ {0.5} $ co $ _ {0.5} $ si，尤其是4d Kitaev材料$α$ -rucl $ _3 $ _3 $ _3 $。
A strongly spin-orbital coupled systems could be in a magnetic ordered phase at zero field. However, a Zeeman field could drive it into different quantum or topological phases. In this work, starting from general symmetry principle, we construct various effective actions to study all these quantum phases and phase transitions which take different forms depending on the condensation momenta are commensurate or in-commensurate. We not only recover all these quantum phases and their excitations achieved by the microscopic calculations, but also discover several novel classes of quantum phase transitions with dynamic exponents $ z=1, z=2 $ and anisotropic ones $ (z_x=3/2, z_y=3) $ respectively. We determine the relations between the quantum spin and the order parameters of the effective actions which display rich spin-orbital structures. We find a new type of dangerously irrelevant operator we name type-II, in distinction from the known one we name type-I. We explore a new phenomena called order parameter fractionization where one complex order parameter split into two which is different than quantum spin fractionization into a spinon and a $ Z_2 $ flux. Finite temperature transitions are presented. The dynamic spin-spin correlation functions are evaluated. Thermal Hall conductivities are discussed. The cases with the $ U(1)_{soc} $ symmetry explicitly broken are briefly outlined. In view of recent experimental advances in generating 2d SOC for cold atoms in optical lattices, these new many-body phenomena can be explored in the near future cold atom experiments. Implications to various SOC materials such as MnSi, Fe$_{0.5}$Co$_{0.5}$Si, especially 4d Kitaev materials $α$-RuCl$_3$ in a Zeeman field are outlined.
