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Topological phases in one-dimensional nonreciprocal superlattices

机译：一维不可逆超晶格的拓扑相

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摘要

Non-Hermitian topological systems have been shown to exhibit many interesting properties. However, due to the presence of complex energy spectra and non-Hermitian skin effect (NHSE), the topological edge states will be dynamically unstable and unresolvable from the bulk states which are also localized at the boundaries. Here we propose a one-dimensional nonreciprocal superlattice model in which topological phases are solely induced by the modulated asymmetric hopping amplitude. Most importantly, we can obtain robust real energy spectra, and in the meanwhile, eliminate the NHSE both in the commensurate and incommensurate lattices by tuning the modulation. Thus the topological zero and nonzero energy edge states are stable and distinguishable from the bulk states, which would definitely facilitate the experimental identifications of non-Hermitian topological phases. We further propose a practical scheme to realize this nonreciprocal model by exploiting electrical circuits.
机译：非Hermitian拓扑系统已显示出许多有趣的特性。但是，由于存在复杂的能谱和非赫密特集肤效应（NHSE），拓扑边缘状态将动态不稳定并且无法从也位于边界的本体状态中解析出来。在这里，我们提出了一维不可逆的超晶格模型，其中拓扑相位仅由调制的不对称跳变幅度诱发。最重要的是，我们可以获得鲁棒的真实能谱，同时，通过调整调制，可以消除相称和不相称晶格中的NHSE。因此，拓扑零和非零能量边沿状态是稳定的，并且可与本体状态区分开，这无疑将有助于非Hermitian拓扑相的实验识别。我们进一步提出了一种通过利用电路来实现这种不可逆模型的实用方案。

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  • 来源
    《Physical review》 |2020年第12期|125418.1-125418.9|共9页
  • 作者

    Qi-Bo Zeng; Yan-Bin Yang; Rong Lü;

  • 作者单位

    Center for Quantum Information IIIS Tsinghua University Beijing 100084 China;

    Department of Physics Tsinghua University Beijing 100084 China Frontier Science Center for Quantum Information Beijing 100084 China;

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