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Functional renormalization group for a large moire unit cell

机译：大莫尔单位细胞的功能重整组

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摘要

Layers of two-dimensional materials arranged at a twist angle with respect to each other lead to enlarged unit cells with potentially strongly altered band structures, offering a new arena for novel and engineered many-body ground states. For the exploration of these, renormalization group methods are an appropriate, flexible tool that takes into account the mutual influence of competing tendencies. Here we show that, within reasonable, nontrivial approximations, the functional renormalization group known from simpler two-dimensional systems can be employed for the large-unit cell moire superlattices with more than 10 000 bands, remedying the need to employ ad hoc restrictions to effective low-energy theories of a few bands and/or effective continuum theories. This provides a description on the atomic scale, allowing one to absorb available ab initio information on the model parameters and therefore lending the analysis a more concrete quantitative character. For the case of twisted bilayer graphene models, we explore the leading ordering tendencies, depending on the band filling and the range of interactions. The results indicate a delicate balance between distinct magnetically ordered ground states, as well as the occurrence of a charge modulation within the moire unit cell for sufficiently nonlocal repulsive interaction.
机译：彼此相对于扭曲角度布置的二维材料层导致具有潜在强烈改变的带结构的放大单元电池，为新颖和工程化的许多地面态提供了新的竞技场。为了探索这些，重整化组方法是适当的灵活工具，以考虑竞争趋势的相互影响。在这里，我们表明，在合理的非动力近似之下，从更简单的二维系统中已知的功能重新运行组可以用于大于10 000个频段的大单元电池莫尔莫尔超晶格，补救了需要采用临时限制以有效的少带和/或有效连续理论的低能量理论。这提供了关于原子尺度的描述，允许一个人吸收关于模型参数的可用AB Initio信息，因此借鉴分析更具体的定量性质。对于扭曲双层石墨烯模型的情况，我们探讨了领先的订购趋势，具体取决于乐队填充和相互作用范围。结果表明不同的磁排序地面态之间的微妙平衡，以及用于足够非识别的排斥相互作用的莫尔单元电池内的电荷调制的发生。

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  • 来源
    《Physical review》 |2020年第8期|085109.1-085109.9|共9页
  • 作者

    Lennart Klebl; Dante M. Kennes; Carsten Honerkamp;

  • 作者单位

    Institute for Theory of Statistical Physics RWTH Aachen University and JARA Fundamentals of Future Information Technology 52062 Aachen Germany;

    Institute for Theory of Statistical Physics RWTH Aachen University and JARA Fundamentals of Future Information Technology 52062 Aachen Germany Max Planck Institute for the Structure and Dynamics of Matter Center for Free Electron Laser Science 22761 Hamburg Germany;

    Institute for Theoretical Solid State Physics RWTH Aachen University and JARA Fundamentals of Future Information Technology 52062 Aachen Germany;

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