论文标题

探测经典天空的量子类似物的拓扑

Probing the topology of the quantum analog of a classical skyrmion

论文作者

Sotnikov, O. M., Mazurenko, V. V., Colbois, J., Mila, F., Katsnelson, M. I., Stepanov, E. A.

论文摘要

在磁性中,天空对应于经典的三维自旋纹理,其特征在于拓扑不变的,该拓扑不变,该纹理跟踪真实空间中磁化的绕组,由于量子旋转的方向是一般不确定的,因此无法轻易地将其推广到量子情况。此外,如我们所示,在探测系统局部磁化的现代实验中无法直接观察到量子天空状态。但是,我们表明,这种新颖的量子状态仍然可以被识别和充分表征,其特殊的局部三旋相关函数在相邻的晶格位点(标量性手性)定义为大型系统的经典拓扑不变性,并且在量子skyrmion相中显示出几乎恒定的。

In magnetism, skyrmions correspond to classical three-dimensional spin textures characterized by a topological invariant that keeps track of the winding of the magnetization in real space, a property that cannot be easily generalized to the quantum case since the orientation of a quantum spin is in general ill-defined. Moreover, as we show, the quantum skyrmion state cannot be directly observed in modern experiments that probe the local magnetization of the system. However, we show that this novel quantum state can still be identified and fully characterized by a special local three-spin correlation function defined on neighbouring lattice sites -- the scalar chirality -- which reduces to the classical topological invariant for large systems, and which is shown to be nearly constant in the quantum skyrmion phase.

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