Characterizing bulk-boundary correspondence of one-dimensional non-Hermitian interacting systems by edge entanglement entropy

Characterizing bulk-boundary correspondence of one-dimensional non-Hermitian interacting systems by edge entanglement entropy
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通过边缘纠缠熵表征一维非厄米相互作用系统的体边界对应

DOI:
10.1103/physrevb.105.075126
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发表时间:
2021-08
期刊:
影响因子:
3.7
通讯作者:
Xiancong Lu
Xiancong Lu
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Weitao Chen;Liangtao Peng;Hantao Lu;Xiancong Lu

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Dramatically different from the Hermitian systems, the conventional Bulk-Boundary Correspondence (BBC) is broken in the non-Hermitian systems. In this article, we use edge entanglement entropy to characterize the topological properties of non-Hermitian Su-Schrieffer-Heeger Hubbard model. For free Fermions, we study the scaling behavior of entanglement entropy and demonstrate that the edge entanglement entropy is a good indicator to delimit different phases of non-Hermitian systems. We further generalize the edge entanglement entropy to the non-Hermitian interacting Hubbard chain, and obtain the topological phase diagram in the plane of interaction and non-Hermitian hopping amplitudes. It is found that the Hubbard interaction diminishes and weakens the breakdown of Bulk-Boundary Correspondence, which eventually disappears at some critical value of interaction.
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