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Recent experimental advances in controlling dissipation have brought about unprecedented flexibility in engineering non-Hermitian Hamiltonians in open classical and quantum systems. A particular interest centers on the topological…

介观与纳米尺度物理 · 物理学 2018-09-25 Zongping Gong , Yuto Ashida , Kohei Kawabata , Kazuaki Takasan , Sho Higashikawa , Masahito Ueda

It is well known that inversion symmetry in one-dimensional (1D) systems leads to the quantization of the geometric Zak phase to values of either 0 or {\pi}. When the system has particle-hole symmetry, this topological property ensures the…

介观与纳米尺度物理 · 物理学 2017-04-20 Yi-Xin Xiao , Zhao-Qing Zhang , C. T. Chan

As energy dissipation and gain are ubiquitous in the real world, such phenomena demand the generalization of Hermitian methods such as the analysis of topological properties for non-Hermitian systems. However, as non-Hermitian systems…

介观与纳米尺度物理 · 物理学 2026-02-02 Cameron Gibson , Evelyn Tang

In this work we investigate the topological content of the Zak phase in one-dimensional translation-invariant topological insulators endowed with time-reversal, particle-hole and/or chiral symmetries, extending results from…

数学物理 · 物理学 2026-04-28 Federico Manzoni , Domenico Monaco , Gabriele Peluso

This communication presents an examination of a two-dimensional, non-Hermitian Su -Schrieffer-Heeger (SSH) model, which is differentiated from its conventional Hermitian counterpart by incorporating gain and/or loss terms, mathematically…

介观与纳米尺度物理 · 物理学 2025-06-23 Udai Prakash Tyagi , Partha Goswami

Non-Hermiticity appears ubiquitously in various open classical and quantum systems and enriches classification of topological phases. However, the role of nonsymmorphic symmetry, crystalline symmetry accompanying fractional lattice…

介观与纳米尺度物理 · 物理学 2025-04-30 Daichi Nakamura , Yutaro Tanaka , Ken Shiozaki , Kohei Kawabata

Topological phases in non-Hermitian systems have become fascinating subjects recently. In this paper, we attempt to classify topological phases in 1D interacting non-Hermitian systems. We begin with the non-Hermitian generalization of the…

强关联电子 · 物理学 2021-05-18 Wenjie Xi , Zhi-Hao Zhang , Zheng-Cheng Gu , Wei-Qiang Chen

Nontrivial topology in lattices is characterized by invariants--such as the Zak phase for one dimensional (1D) lattices--derived from wave functions covering the Brillouin zone. We realized the 1D bipartite Rice-Mele (RM) lattice using…

量子气体 · 物理学 2022-09-19 G. H. Reid , Mingwu Lu , A. R. Fritsch , A. M. Piñeiro , I. B. Spielman

The (one-dimensional) Su-Schrieffer-Heeger Hamiltonian, augmented by spin-orbit coupling and longer-range hopping, is studied at half filling for an even number of sites. The ground-state phase diagram depends sensitively on the symmetry of…

介观与纳米尺度物理 · 物理学 2023-05-30 N. Ahmadi , J. Abouie , D. Baeriswyl

Topological physics provides novel insights for designing functional photonic devices, such as magnetic-free optical diodes, which are important in optical engineering and quantum information processing. Past efforts mostly focus on the…

光学 · 物理学 2025-05-15 Xiao Liu , Jiefei Wang , Ruosong Mao , Huizhu Hu , Shi-Yao Zhu , Xingqi Xu , Han Cai , Da-Wei Wang

The dynamical and topological properties of non-Hermitian systems have attracted great attention in recent years. In this work, we establish an intrinsic connection between two classes of intriguing phenomena -- topological phases and…

量子物理 · 物理学 2021-06-18 Longwen Zhou , Qianqian Du

Non-Hermiticity alters topology with the presence of non-Hermitian factors in topological systems. Most existing non-Hermitian topological systems derive their topological phases from Hermitian components, that is, the gain and loss of the…

Non-Hermiticity can vary the topology of system, induce topological phase transition, and even invalidate the conventional bulk-boundary correspondence. Here, we show the introducing of non-Hermiticity without affecting the topological…

介观与纳米尺度物理 · 物理学 2019-07-30 K. L. Zhang , H. C. Wu , L. Jin , Z. Song

In this work we investigate non-Hermitian topological phase transitions using real-space edge states as a paradigmatic tool. We focus on the simplest non-Hermitian variant of the Su-Schrieffer-Hegger model, including a parameter that…

强关联电子 · 物理学 2024-03-15 Rui Aquino , Nei Lopes , Daniel G. Barci

Recently there is trend to study topological properties in one-dimensional(1D) periodic systems. Concepts such as Zak phase are considered as topological invariants that characterize the bulk bands. The bulk 1D systems are classified to…

强关联电子 · 物理学 2019-01-14 Yi-Dong Wu

Non-Hermitian systems can host topological states with novel topological invariants and bulk-edge correspondences that are distinct from conventional Hermitian systems. Here we show that two unique classes of non-Hermitian 2D topological…

介观与纳米尺度物理 · 物理学 2021-03-10 Junpeng Hou , Ya-Jie Wu , Chuanwei Zhang

The discovery of topological phases in non-Hermitian open classical and quantum systems challenges our current understanding of topological order. Non-Hermitian systems exhibit unique features with no counterparts in topological Hermitian…

介观与纳米尺度物理 · 物理学 2019-06-26 Stefano Longhi

Su-Schrieffer-Heeger (SSH) model on two-dimensional square lattice exhibits a topological phase transition, which is related to the Zak phase determined by bulk band topology. The strong modulation of electron hopping causes nontrivial…

介观与纳米尺度物理 · 物理学 2019-09-04 Daichi Obana , Feng Liu , Katsunori Wakabayashi

A particle-hole symmetry protected 2D non-Hermitian Su-Schrieffer-Heeger (SSH) model is investigated. This version differs from the usual Hermitian version by the inclusion of gain and/or loss terms which are represented by complex on-site…

量子物理 · 物理学 2025-04-08 Udai Prakash Tyagi , Partha Goswami

Topological semimetals exhibit protected band crossings in momentum space, accompanied by corresponding surface states. Non-Hermitian Hamiltonians introduce geometry-sensitive features that dissolve this bulk-boundary correspondence…

介观与纳米尺度物理 · 物理学 2025-06-18 Megan Schoenzeit , Chang Shu , Kai Zhang , Kai Sun
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