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Non-Hermiticity gives rise to unique topological phases that have no counterparts in Hermitian systems. Such intrinsic non-Hermitian topological phases appear even in one dimension while no topological phases appear in one-dimensional…

强关联电子 · 物理学 2022-04-20 Kohei Kawabata , Ken Shiozaki , Shinsei Ryu

The non-Hermitian Su-Schrieffer-Heeger spinless Fermion model with interacting terms is studied by exact diagonalization. The model is derived from the spin chain with damping Dzyaloshinskii-Moriya interaction. The presence of the…

强关联电子 · 物理学 2020-01-06 Ma Luo

We investigate the non-Hermitian Haldane model on hyperbolic $\{8, 3\}$ and $\{12, 3\}$ lattices, and showcase its intriguing topological properties in the simultaneous presence of non-Hermitian effect and hyperbolic geometry. From bulk…

介观与纳米尺度物理 · 物理学 2023-12-27 Junsong Sun , Chang-An Li , Shiping Feng , Huaiming Guo

The synergy between non-Hermitian concepts and topological ideas have led to very fruitful activity in the recent years. Their interplay has resulted in a wide variety of new non-Hermitian topological phenomena being discovered. In this…

介观与纳米尺度物理 · 物理学 2023-06-16 Ayan Banerjee , Ronika Sarkar , Soumi Dey , Awadhesh Narayan

A unique feature of non-Hermitian systems is the skin effect, which is the extreme sensitivity to the boundary conditions. Here, we reveal that the skin effect originates from intrinsic non-Hermitian topology. Such a topological origin not…

介观与纳米尺度物理 · 物理学 2020-03-04 Nobuyuki Okuma , Kohei Kawabata , Ken Shiozaki , Masatoshi Sato

Unlike their Hermitian counterparts, non-Hermitian (NH) systems may display an exponential sensitivity to boundary conditions and an extensive number of edge-localized states in systems with open boundaries, a phenomena dubbed the…

无序系统与神经网络 · 物理学 2021-04-14 Jahan Claes , Taylor L. Hughes

We study the properties of the entanglement spectrum in gapped non-interacting non-Hermitian systems, and its relation to the topological properties of the system Hamiltonian. Two different families of entanglement Hamiltonians can be…

介观与纳米尺度物理 · 物理学 2020-01-06 Loïc Herviou , Nicolas Regnault , Jens H. Bardarson

The skin effect, where bulk modes collapse into boundary modes, is a key phenomenon in topological non-Hermitian systems, has been predominantly studied in spinless systems. Recent studies illustrate the magnetic suppression of the…

介观与纳米尺度物理 · 物理学 2024-08-19 Wenna Zhang , Yutao Hu , Hongyi Zhang , Xiang Liu , Georgios Veronis , Yuecheng Shen , Yin Huang , Wenchen Luo , Andrea Alu`

A non-Hermitian topological insulator is fundamentally different from conventional topological insulators. The non-Hermitian skin effect arises in a nonreciprocal tight binding lattice with open edges. In this case, not only topological…

介观与纳米尺度物理 · 物理学 2020-01-01 C. Yuce

One of the most pronounced non-Hermitian phenomena is the non-Hermitian skin effect, which refers to the exponential localization of bulk eigenstates near the boundaries of non-Hermitian systems. Whereas non-Bloch band theory has been…

介观与纳米尺度物理 · 物理学 2024-11-27 Yu-Min Hu , Yin-Quan Huang , Wen-Tan Xue , Zhong Wang

In non-Hermitian systems, it is a counterintuitive feature of the non-Hermitian skin effect (NHSE) that the energy spectrum and eigenstates can be totally different under open or periodic boundary conditions, suggesting that non-Hermitian…

量子物理 · 物理学 2024-10-31 Fei Song , Hong-Yi Wang , Zhong Wang

Non-Hermiticity enables macroscopic accumulation of bulk states, named non-Hermitian skin effects. The non-Hermitian skin effects are well-established for single-particle systems, but their proper characterization for general systems is…

量子物理 · 物理学 2024-10-01 Kenji Shimomura , Masatoshi Sato

Non-Hermitian skin effect, namely that the eigenvalues and eigenstates of a non-Hermitian tight-binding Hamiltonian have significant differences under open or periodic boundary conditions, is a remarkable phenomenon of non-Hermitian…

介观与纳米尺度物理 · 物理学 2021-10-04 Liang Mao , Tianshu Deng , Pengfei Zhang

Many-body spin systems represent a paradigmatic platform for the realization of emergent states of matter in a strongly interacting regime. Spin models are commonly studied in one-dimensional periodic chains, whose lattice constant is on…

介观与纳米尺度物理 · 物理学 2019-10-08 J. L. Lado , Oded Zilberberg

Topological phases of matter are conventionally characterized by the bulk-boundary correspondence in Hermitian systems: The topological invariant of the bulk in $d$ dimensions corresponds to the number of $(d-1)$-dimensional boundary…

The congregation of topological quantum and classical systems with the ideas of non-Hermitian physics has generated enormous research interest in the last few years. While the concepts associated to non-trivial topological aspects have…

应用物理 · 物理学 2021-08-27 Nitish Kumar Gupta , Arun M. Jayannavar

A nonzero non-Hermitian winding number indicates that a gapped system is in a nontrivial topological class due to the non-Hermiticity of its Hamiltonian. While for Hermitian systems nontrivial topological quantum numbers are reflected by…

介观与纳米尺度物理 · 物理学 2021-06-02 Heinrich-Gregor Zirnstein , Bernd Rosenow

One of the unique features of non-Hermitian Hamiltonians is the non-Hermitian skin effect, namely that the eigenstates are exponentially localized at the boundary of the system. For open quantum systems, a short-time evolution can often be…

量子气体 · 物理学 2019-11-01 Fei Song , Shunyu Yao , Zhong Wang

Non-Hermitian topology provides a research frontier for exploring topological phenomena, revealing novel topological effects and driving the development of emergent materials and platforms. Here, we explore the non-Hermitian Chern insulator…

光学 · 物理学 2024-11-13 Yi-Ling Zhang , Li-Wei Wang , Yang Liu , Zhao-Xian Chen , Jian-Hua Jiang

The emergence of the non-Hermitian skin effect, distinguished by the exponential localization of bulk states onto boundaries in open systems, has redefined the conventional band theory. It can be established through the generalized…

其他凝聚态物理 · 物理学 2026-05-19 Jiuchun Meng , Lichao Sun , Xiumei Wang , Dandan Zhu , Xingping Zhou