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Construction and classification of point-group symmetry-protected topological phases in two-dimensional interacting fermionic systems

机译：二维相互作用费米子系统中点群对称保护的拓扑相的构建与分类

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摘要

The construction and classification of symmetry-protected topological (SPT) phases in interacting bosonic and fermionic systems have been intensively studied in the past few years. Very recently, a complete classification and construction of space-group SPT phases were also proposed for interacting bosonic systems. In this Rapid Communication, we attempt to generalize this classification and construction scheme systematically into interacting fermion systems. In particular, we construct and classify point-group SPT phases for two-dimensional (2D) interacting fermion systems via lower-dimensional block-state decorations. We discover several intriguing fermionic SPT states that can only be realized in interacting fermion systems (i.e., not in free-fermion or bosonic SPT systems). Moreover, we also verify the recently conjectured crystalline equivalence principle for 2D interacting fermion systems. Finally, the potential experimental realization of these different classes of point-group SPT phases in 2D correlated superconductors is addressed.
机译：在过去的几年中，已经深入研究了相互作用的玻色子和铁离子系统中对称保护拓扑（SPT）相的构造和分类。最近，还提出了用于相互作用的玻色系统的空间组SPT相的完整分类和构造。在本快速通信中，我们尝试将这种分类和构造方案概括为相互作用的费米子系统。特别是，我们通过低维块状态修饰为二维（2D）相互作用费米子系统构造和分类点组SPT相。我们发现了只有在相互作用的费米子系统中才能实现的几个有趣的费米子SPT状态（即在自由费米子或玻色子SPT系统中无法实现）。此外，我们还验证了二维相互作用费米子系统最近推测的晶体等效原理。最后，讨论了二维相关超导体中这些不同类的点组SPT相的潜在实验实现。

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  • 来源
    《Physical review》 |2020年第10期|100501.1-100501.6|共6页
  • 作者

    Jian-Hao Zhang; Qing-Rui Wang; Shuo Yang; Yang Qi; Zheng-Cheng Gu;

  • 作者单位

    Institute for Advanced Study Tsinghua University Beijing 100084 China;

    Department of Physics The Chinese University of Hong Kong Shatin New Territories Hong Kong China;

    State Key Laboratory of Low Dimensional Quantum Physics and Department of Physics Tsinghua University Beijing 100084 China Beijing Academy of Quantum Information Sciences Beijing 100193 China;

    Department of Physics Center for Field Theory and Particle Physics Fudan University Shanghai 200433 China State Key Laboratory of Surface Physics Fudan University Shanghai 200433 China Collaborative Innovation Center of Advanced Microstructures Nanjing 210093 China;

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