论文标题
自旋轨道耦合的玻色菌冷凝物的磁相变向整个磁相变的固有异常效应
Intrinsic anomalous Hall effect across the magnetic phase transition of a spin-orbit-coupled Bose-Einstein condensate
论文作者
论文摘要
从理论上讲，我们在实验实现的2D自旋轨道耦合的玻色气体中研究了零温度的内在异常霍尔效应。对于各向异性原子相互作用，随着自旋轨道耦合强度的提高，系统经历了从表现出总面积磁化状态的状态向沿$ z $方向垂直磁化的状态的基态相变。我们表明，由于有限的带间跃迁，在没有人造磁场的情况下，有限频率或交流电响应在两个阶段都存在。但是，由于相应的基态保留了不同的对称性，因此在这两个阶段中，异常霍尔反应的特征截然不同。特别是，我们在一个阶段发现有限的直流电导率，而不是另一个阶段。通过探索DC霍尔电导率与系统的手性和Bloch频段的浆果曲率的关系，进一步分析了这一目标的基本物理原因。最后，我们讨论了一种实验方法，以探测被困系统中异常霍尔效应。
We study theoretically the zero temperature intrinsic anomalous Hall effect in an experimentally realized 2D spin-orbit coupled Bose gas. For anisotropic atomic interactions and as the spin-orbit coupling strength increases, the system undergoes a ground state phase transition from states exhibiting a total in-plane magnetization to those with a perpendicular magnetization along the $z$ direction. We show that finite frequency, or ac, Hall responses exist in both phases in the absence of an artificial magnetic field, as a result of finite inter-band transitions. However, the characteristics of the anomalous Hall responses are drastically different in these two phases because of the different symmetries preserved by the corresponding ground states. In particular, we find a finite dc Hall conductivity in one phase but not the other. The underlying physical reasons for this are analyzed further by exploring relations of the dc Hall conductivity to the system's chirality and Berry curvatures of the Bloch bands. Finally, we discuss an experimental method of probing the anomalous Hall effect in trapped systems.
