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Many-body approach to non-Hermitian physics in fermionic systems

机译：费米子系统中非赫米特物理学的多体方法

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摘要

In previous studies, the topological invariants of one-dimensional non-Hermitian systems have been defined in open boundary condition (OBC) to satisfy the bulk-boundary correspondence. The extreme sensitivity of bulk energy spectra to boundary conditions has been attributed to the breakdown of the conventional bulk-boundary correspondence based on the topological invariants defined under periodic boundary condition (PBC). Here we propose non-Hermitian many-body polarization as a topological invariant for ID non-Hermitian systems defined in PBC. which satisfies the bulk-boundary correspondence. Employing many-body methodology in the non-Hermitian Su-Schrieffer-Heeger model for fermions, we show the absence of non-Hermitian skin effect due to the Pauli exclusion principle and demonstrate the bulk-boundary correspondence using the invariant defined under PBC. Moreover, we show that the bulk topological invariant is quantized in the presence of chiral or generalized inversion symmetry. Our study suggests the existence of generalized crystalline symmetries in non-Hermitian systems, which give quantized topological invariants that capture the symmetry-protected topology of non-Hermitian systems.
机译：在以前的研究中，一维非Hermitian系统的拓扑不变量已在开放边界条件（OBC）中定义，以满足体边界对应。体能谱对边界条件的极端敏感性已归因于基于在周期性边界条件（PBC）下定义的拓扑不变量的常规体-边界对应关系的分解。在这里，我们提出非Hermitian多体极化作为PBC中定义的ID非Hermitian系统的拓扑不变量。满足体边界对应。在非Hermitian Su-Schrieffer-Heeger模型的费米子模型中采用多体方法，由于Pauli排除原理，我们显示出不存在非Hermitian皮肤效应，并使用在PBC下定义的不变量证明了体积边界对应关系。此外，我们表明，在存在手性或广义反演对称性的情况下，可以量化本体拓扑的不变性。我们的研究表明，非Hermitian系统中存在广义晶体对称性，从而给出了捕获非Hermitian系统的对称保护拓扑的量化拓扑不变性。

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  • 来源
    《Physical review》 |2020年第12期|121109.1-121109.6|共6页
  • 作者

    Eunwoo Lee; Hyunjik Lee; Bohm-Jung Yang;

  • 作者单位

    Department of Physics and Astronomy Seoul National University Seoul 08826 Korea Center for Correlated Electron Systems Institute for Basic Science (IBS) Seoul 08826 Korea Center for Theoretical Physics (CTP) Seoul National University Seoul 08826 Korea;

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