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Theory of exciton-electron scattering in atomically thin semiconductors

机译：原子薄半导体中激子电子散射理论

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摘要

The realization of mixtures of excitons and charge carriers in van der Waals materials presents a frontier for the study of the many-body physics of strongly interacting Bose-Fermi mixtures. In order to derive an effective low-energy model for such systems, we develop an exact diagonalization approach based on a discrete variable representation that predicts the scattering and bound state properties of three charges in two-dimensional transition metal dichalcogenides. From the solution of the quantum mechanical three-body problem we thus obtain the bound state energies of excitons and trions within an effective mass model which are in excellent agreement with quantum Monte Carlo predictions. The diagonalization approach also gives access to excited states of the three-body system. This allows us to predict the scattering phase shifts of electrons and excitons that serve as input for a low-energy theory of interacting mixtures of excitons and charge carriers at finite density. To this end we derive an effective exciton-electron scattering potential that is directly applicable for quantum Monte Carlo or diagrammatic many-body techniques. As an example, we demonstrate the approach by studying the many-body physics of exciton Fermi polarons in transition-metal dichalcogenides, and we show that finite-range corrections have a substantial impact on the optical absorption spectrum. Our approach can be applied to a plethora of many-body phenomena realizable in atomically thin semiconductors ranging from exciton localization to induced superconductivity.
机译：van der WALS材料中的激子和电荷载体混合物的实现呈现了用于研究强烈相互作用的Bose-Fermi混合物的许多身体物理学的前沿。为了获得这种系统的有效低能量模型，我们基于离散可变表示来开发精确的对角化方法，其预测三维过渡金属二均硅烷化物中三个电荷的散射和结合状态性质。从Quantum机械三体问题的溶液中，我们在有效的质量模型中获得了激子和细分的束缚状态能量，这些质量模型与量子蒙特卡罗预测的优秀协议。对角化方法还可以访问三体系的激发状态。这使我们能够预测电子和激子的散射相移，其用作在有限密度下相互作用的激子和电荷载体混合物的低能量理论的输入。为此，我们得出了有效的激子 - 电子散射电位，可直接适用于量子蒙特卡罗或图解的多体技术。作为一个例子，我们通过在过渡 - 金属二甲硅烷化物中研究激子费米极性的许多身体物理学来证明这种方法，并且我们表明有限范围的校正对光学吸收光谱具有显着影响。我们的方法可以应用于以原子上薄的半导体可实现的多体现象，从而从激子定位到诱导超导性。

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  • 来源
    《Physical review》 |2020年第19期|195417.1-195417.13|共13页
  • 作者

    Christian Fey; Peter Schmelcher; Atac Imamoglu; Richard Schmidt;

  • 作者单位

    Max-Planck-Institute of Quantum Optics 85748 Garching Germany Zentrum fuer Optische Quantentechnologien Universitaet Hamburg Fachbereich Physik 22761 Hamburg Germany;

    Zentrum fuer Optische Quantentechnologien Universitaet Hamburg Fachbereich Physik 22761 Hamburg Germany The Hamburg Centre for Ultrafast Imaging Universitaet Hamburg Lumper Chaussee 149 22761 Hamburg Germany;

    Institute for Quantum Electronics ETH Zuerich 8093 Zuerich Switzerland;

    Max-Planck-Institute of Quantum Optics 85748 Garching Germany Munich Center for Quantum Science and Technology (MCQST) Schellingsirasse 4 80799 Muenchen Germany;

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