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具有内禀自旋–轨道耦合的Lieb晶格中Floquet拓扑相变
Floquet Topological Phase Transitions in Lieb Lattice with Intrinsic Spin-Orbit Coupling

DOI: 10.12677/APP.2020.101004, PP. 24-37

Keywords: Lieb晶格，内禀自旋–轨道耦合，Floquet理论，拓扑相变，无序
Lieb Lattice, Intrinsic Spin-Orbit Coupling, Floquet Theory, Topological Phase Transition, Disorder

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Abstract:

我们基于Floquet理论研究了外加圆偏振光对具有内禀自旋–轨道耦合的Lieb晶格拓扑性质的影响。首先，我们采用数值方法计算自旋陈数分析Lieb晶格的拓扑性质。给出了当模型中次近邻格点间跃迁强度取不同值时，自旋陈数随着圆偏振光振幅变化关系。接着，我们在高频极限下给出了体系有效哈密顿量，理论计算了不同高对称点处能隙随者圆偏振光振幅变化的关系。计算结果表明，在高频极限下的理论结果与直接数值计算结果定性一致。最后，基于Bott指数的计算，我们研究了无序对外加圆偏振光作用下的Lieb晶格拓扑性质的影响。
We use Floquet theory to theoretically investigate the influence of the external circularly polarized light on the topological properties of the Lieb lattice with intrinsic spin-orbit coupling. Firstly, we use numerical calculation method to compute the spin Chern number to study the topological properties of the Lieb lattice. The variations of the spin Chern number with the amplitude of the circularly polarized light are obtained for different amplitudes of the next nearest-neighbor hop-ping of the model. Next, the effective Hamiltonian in the high-frequency limit is given, and the var-iations of the energy gaps at different high-symmetry points with the amplitude of the circularly polarized light are theoretically calculated. It is shown that the results from the theoretical calcu-lating in the high-frequency limit are qualitatively consistent with those by numerical calculations. Finally, based on the computation of the Bott index, the influence of disorder on the topological properties of the Lieb lattice with the external circularly polarized light is investigated.

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