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Microscopic theory for the light-induced anomalous Hall effect in graphene

机译：石墨烯中光诱导异常霍尔效应的微观理论

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摘要

We employ a quantum Liouville equation with relaxation to model the recently observed anomalous Hall effect in graphene irradiated by an ultrafast pulse of circularly polarized light. In the weak-field regime, we demonstrate that the Hall effect originates from an asymmetric population of photocarriers in the Dirac bands. By contrast, in the strong-field regime, the system is driven into a nonequilibrium steady state that is well described by topologically nontrivial Floquet-Bloch bands. Here, the anomalous Hall current originates from the combination of a population imbalance in these dressed bands together with a smaller anomalous velocity contribution arising from their Berry curvature. This robust and general finding enables the simulation of electrical transport from light-induced Floquet-Bloch bands in an experimentally relevant parameter regime and creates a pathway to designing ultrafast quantum devices with Floquet-engineered transport properties.
机译：我们使用具有松弛的量子Liouville方程来对最近观察到的由圆偏振光的超快脉冲辐照的石墨烯中的异常霍尔效应进行建模。在弱场状态下，我们证明了霍尔效应源自狄拉克谱带中不对称的光载流子。相比之下，在强场状态下，系统被驱动到非平衡稳态，这在拓扑上很重要的Floquet-Bloch能带很好地描述了这一点。在这里，霍尔电流异常是由于这些修整带中的人口不平衡以及由其贝里曲率引起的较小的异常速度贡献共同造成的。这一稳健而普遍的发现使得能够在实验相关的参数范围内模拟光诱导的Floquet-Bloch波段的电输运，并为设计具有Floquet设计的输运特性的超快量子器件创造了一条途径。

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  • 来源
    《Physical review》 |2019年第21期|214302.1-214302.11|共11页
  • 作者

    Sato S. A.; McIver J. W.; Nuske M.; Tang P.; Jotzu G.; Schulte B.; Huebener H.; De Giovannini U.; Mathey L.; Sentef M. A.; Cavalleri A.; Rubio A.;

  • 作者单位

    Univ Tsukuba, Ctr Computat Sci, 1-1-1 Tennodai, Tsukuba, Ibaraki, Japan|Max Planck Inst Struct & Dynam Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany;

    Max Planck Inst Struct & Dynam Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany;

    Univ Hamburg, Zentrum Opt Quantentechnol, Luruper Chaussee 149, D-22761 Hamburg, Germany|Univ Hamburg, Inst Laserphys, Luruper Chaussee 149, D-22761 Hamburg, Germany;

    Max Planck Inst Struct & Dynam Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany;

    Max Planck Inst Struct & Dynam Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany;

    Max Planck Inst Struct & Dynam Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany;

    Max Planck Inst Struct & Dynam Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany;

    Max Planck Inst Struct & Dynam Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany;

    Univ Hamburg, Zentrum Opt Quantentechnol, Luruper Chaussee 149, D-22761 Hamburg, Germany|Univ Hamburg, Inst Laserphys, Luruper Chaussee 149, D-22761 Hamburg, Germany|Univ Hamburg, Hamburg Ctr Ultrafast Imaging, Luruper Chaussee 149, D-22761 Hamburg, Germany;

    Max Planck Inst Struct & Dynam Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany;

    Max Planck Inst Struct & Dynam Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany;

    Max Planck Inst Struct & Dynam Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany|Flatiron Inst, Ctr Computat Quantum Phys CCQ, 162 Fifth Ave, New York, NY 10010 USA;

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