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Exciton condensation in strongly correlated electron bilayers

机译：高度相关的电子双层中的激子凝聚

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摘要

We studied the possibility of exciton condensation in Mott insulating bilayers. In these strongly correlated systems, an exciton is the bound state of a double occupied and empty site. In the strong coupling limit, the exciton acts as a hard-core boson. Its physics is captured by the exciton t-J model, containing an effective XXZ model describing the exciton dynamics only. Using numerical simulations and analytical mean-field theory, we constructed the ground-state phase diagram. Three homogeneous phases can be distinguished: the antiferromag-net, the exciton checkerboard crystal, and the exciton superfluid. For most model parameters, however, we predict macroscopic phase separation between these phases. The exciton superfluid exists only for large exciton hopping energy. Additionally, we studied the collective modes and susceptibilities of the three phases. In the superfluid phase, we find the striking feature that the bandwidth of the spin-triplet excitations, potentially detectable by resonant inelastic x-ray scattering (RIXS), is proportional to the superfluid density. The superfluid phase mode is visible in the charge susceptibility, measurable by RIXS or electron energy loss spectroscopy (EELS).
机译：我们研究了莫特绝缘双层中激子凝聚的可能性。在这些高度相关的系统中，激子是双重占据和空位的结合状态。在强耦合极限下，激子起着核心玻色子的作用。激子t-J模型捕获了它的物理特性，其中包含有效的XXZ模型，仅描述了激子动力学。利用数值模拟和解析平均场理论，我们构建了基态相图。可以区分三个均相：反铁磁网，激子棋盘状晶体和激子超流体。但是，对于大多数模型参数，我们预测这些相之间的宏观相分离。激子超流体仅对于大的激子跳跃能量存在。此外，我们研究了这三个阶段的集体模式和敏感性。在超流体阶段，我们发现了一个引人注目的特征，即可能通过共振非弹性X射线散射（RIXS）检测到的自旋三重态激发的带宽与超流体密度成比例。超流体相模在电荷磁化率中可见，可通过RIXS或电子能量损失谱（EELS）进行测量。

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  • 来源
    《Physical review》 |2013年第23期|235127.1-235127.21|共21页
  • 作者

    Louk Rademaker; Jeroen van den Brink; Jan Zaanen; Hans Hilgenkamp;

  • 作者单位

    Institute-Lorentz for Theoretical Physics, Leiden University, P.O. Box 9506, Leiden, The Netherlands;

    Institute for Theoretical Solid State Physics, IFW Dresden, 01171 Dresden, Germany,Department of Physics, TU Dresden, D-01062 Dresden, Germany;

    Institute-Lorentz for Theoretical Physics, Leiden University, P.O. Box 9506, Leiden, The Netherlands;

    Institute-Lorentz for Theoretical Physics, Leiden University, P.O. Box 9506, Leiden, The Netherlands,Faculty of Science and Technology and MESA + Institute for Nanotechnology, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands;

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