Topology of a parity-time symmetric non-Hermitian rhombic lattice

doi:10.1088/1674-1056/ac364a

中国物理B ›› 2022, Vol. 31 ›› Issue (1): 10312-010312.doi: 10.1088/1674-1056/ac364a

所属专题： SPECIAL TOPIC — Non-Hermitian physics

Topology of a parity-time symmetric non-Hermitian rhombic lattice

Shumai Zhang(张舒迈), Liang Jin(金亮)^†, and Zhi Song(宋智)

School of Physics, Nankai University, Tianjin 300071, China

收稿日期:2021-08-19 修回日期:2021-10-17 接受日期:2021-11-04 出版日期:2021-12-03 发布日期:2021-12-23
通讯作者: Liang Jin E-mail:jinliang@nankai.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grants Nos. 11975128 and 11874225).

Topology of a parity-time symmetric non-Hermitian rhombic lattice

Shumai Zhang(张舒迈), Liang Jin(金亮)^†, and Zhi Song(宋智)

School of Physics, Nankai University, Tianjin 300071, China

Received:2021-08-19 Revised:2021-10-17 Accepted:2021-11-04 Online:2021-12-03 Published:2021-12-23
Contact: Liang Jin E-mail:jinliang@nankai.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grants Nos. 11975128 and 11874225).

摘要/Abstract

摘要： We investigate the topological properties of a trimerized parity-time ($ \mathcal{PT}$) symmetric non-Hermitian rhombic lattice. Although the system is $\mathcal{PT}$-symmetric, the topology is not inherited from the Hermitian lattice; in contrast, the topology can be altered by the non-Hermiticity and depends on the couplings between the sublattices. The bulk-boundary correspondence is valid and the Bloch bulk captures the band topology. Topological edge states present in the two band gaps and are predicted from the global Zak phase obtained through the Wilson loop approach. In addition, the anomalous edge states compactly localize within two diamond plaquettes at the boundaries when all bands are flat at the exceptional point of the lattice. Our findings reveal the topological properties of the $\mathcal{PT}$-symmetric non-Hermitian rhombic lattice and shed light on the investigation of multi-band non-Hermitian topological phases.

关键词: topological phase, $\mathcal{PT}$ symmetry, Wilson loop

Abstract: We investigate the topological properties of a trimerized parity-time ($ \mathcal{PT}$) symmetric non-Hermitian rhombic lattice. Although the system is $\mathcal{PT}$-symmetric, the topology is not inherited from the Hermitian lattice; in contrast, the topology can be altered by the non-Hermiticity and depends on the couplings between the sublattices. The bulk-boundary correspondence is valid and the Bloch bulk captures the band topology. Topological edge states present in the two band gaps and are predicted from the global Zak phase obtained through the Wilson loop approach. In addition, the anomalous edge states compactly localize within two diamond plaquettes at the boundaries when all bands are flat at the exceptional point of the lattice. Our findings reveal the topological properties of the $\mathcal{PT}$-symmetric non-Hermitian rhombic lattice and shed light on the investigation of multi-band non-Hermitian topological phases.

Key words: topological phase, $\mathcal{PT}$ symmetry, Wilson loop

中图分类号: (Phases: geometric; dynamic or topological)

03.65.Vf

03.65.-w (Quantum mechanics)

Shumai Zhang(张舒迈), Liang Jin(金亮), and Zhi Song(宋智). Topology of a parity-time symmetric non-Hermitian rhombic lattice[J]. 中国物理B, 2022, 31(1): 10312-010312.

Shumai Zhang(张舒迈), Liang Jin(金亮), and Zhi Song(宋智). Topology of a parity-time symmetric non-Hermitian rhombic lattice[J]. Chin. Phys. B, 2022, 31(1): 10312-010312.

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Topology of a parity-time symmetric non-Hermitian rhombic lattice

Topology of a parity-time symmetric non-Hermitian rhombic lattice

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