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arXiv 2108.04758cond-mat.str-el
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连续波和脉冲激发下有机导体$α$ -(BEDT-TTF)$_2$ I $_3$光致拓扑态的实时动力学

Real-time dynamics of the photoinduced topological state in organic conductor $α$-(BEDT-TTF)$_2$I$_3$ under continuous-wave and pulse excitations

Yasuhiro Tanaka, Masahito Mochizuki

摘要:

我们从理论上研究了最近用Floquet理论预测的有机导体$α$ -(BEDT-TTF)$_2$ I $_3$中光致拓扑相变到非平衡Floquet Chern绝缘体的实时动力学。利用紧束缚模型$α$ -(BEDT-TTF)$_2$ I $_3$,求解了含时薛定谔方程,得到了圆偏振光连续波和脉冲激发下的物理量随时间的演化.我们证明,对于连续波激发,陈数和霍尔电导率的时间曲线显示Floquet拓扑绝缘体的迹象。我们认为,霍尔电导率表现出一个缓慢的振荡,其频率对应于由Floquet带结构确定的光致直接间隙。在脉冲激发下,得到了瞬态激发谱,据此我们推测了脉冲辐照过程中Floquet带的形成和狄拉克点处的能隙开放。这种动态间隙的形成也表现为霍尔电导率的缓慢振荡分量;也就是说,它的频率随着时间的推移而增加,朝向脉冲峰值,在该脉冲峰值处,它几乎与光致直接间隙重合。实验结果的相关性进行了讨论。

英文摘要:

We theoretically study the real-time dynamics of the photoinduced topological phase transition to a nonequilibrium Floquet Chern insulator in an organic conductor $α$-(BEDT-TTF)$_2$I$_3$, which was recently predicted using the Floquet theory. By using a tight-binding model of $α$-(BEDT-TTF)$_2$I$_3$ that hosts a pair of tilted Dirac-cone bands at the Fermi level, we solve the time-dependent Schrödinger equation and obtained time evolutions of physical quantities for continuous-wave and pulse excitations with circularly polarized light. We demonstrate that, for the continuous-wave excitations, time profiles of the Chern number and the Hall conductivity show indications of the Floquet topological insulator. We argue that the Hall conductivity exhibits a slow oscillation with its frequency corresponding to a photoinduced direct gap determined by the Floquet band structure. With pulse excitations, transient excitation spectra are obtained, from which we infer the formation of Floquet bands and the gap opening at the Dirac point during the pulse irradiation. This dynamical gap formation is also manifested by the slow oscillation component of the Hall conductivity; that is, its frequency increases with time toward the pulse peak at which it nearly coincides with the photoinduced direct gap. The relevance of the results to experiments is also discussed.

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