时间周期驱动的Falicov-Kimball模型的谱函数：实空间Floquet DMFT研究
Spectral functions of a time-periodically driven Falicov-Kimball model: real-space Floquet DMFT study
摘要：
我们提出了一个系统的研究谱函数的时间周期驱动的Falicov-Kimball哈密顿量。在高频极限下，该系统可以有效地描述为Harper-Hofstadter-Falicov-Kimball模型。使用实空间Floquet动力学平均场论（DMFT），我们考虑到更高的Floquet带的非微扰方式的相互作用的影响和贡献。我们的计算表明，相互作用的驱动系统和其有效的静态对应的光谱特性之间的高度相似性。然而，正如我们的结果所示，应该记住，Floquet DMFT描述了一个非平衡稳态（NESS），而一个有效的静态哈密顿描述了一个平衡态。我们进一步证明了使用实空间Floquet DMFT研究边缘状态的圆柱几何的可能性。
英文摘要：
We present a systematic study of spectral functions of a time-periodically driven Falicov-Kimball Hamiltonian. In the high-frequency limit, this system can be effectively described as a Harper-Hofstadter-Falicov-Kimball model. Using real-space Floquet dynamical mean-field theory (DMFT), we take into account interaction effects and contributions from higher Floquet bands in a non-perturbative way. Our calculations show a high degree of similarity between the interacting driven system and its effective static counterpart with respect to spectral properties. However, as also illustrated by our results, one should bear in mind that Floquet DMFT describes a non-equilibrium steady state (NESS), while an effective static Hamiltonian describes an equilibrium state. We further demonstrate the possibility of using real-space Floquet DMFT to study edge states on a cylinder geometry.
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