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Topological phases are generally characterized by topological invariants denoted by integer numbers. However, different topological systems often require different topological invariants to measure, and theses definition usually fail at…

强关联电子 · 物理学 2025-01-09 ZhaoXiang Fang , Ming Gong , Guang-Can Guo , Yongxu Fu , Long Xiong

Higher-order topological phases are characterized by protected states localized at the corners or hinges of the system. By applying time-periodic quenches to a two-dimensional lattice with balanced gain and loss, we obtain a rich variety of…

介观与纳米尺度物理 · 物理学 2020-09-23 Jiaxin Pan , Longwen Zhou

According to the topological band theory of a Hermitian system, the different electronic phases are classified in terms of topological invariants, wherein the transition between the two phases characterized by a different topological…

无序系统与神经网络 · 物理学 2022-01-24 Aruna Prasad Acharya , Aditi Chakrabarty , Deepak Kumar Sahu , Sanjoy Datta

The non-analyticity induced by exceptional points (EPs) has manifestations not only in non-Hermitian but also in Hermitian systems. In this work, we focus on a minimal Hermitian bosonic Kitaev model to reveal the dynamical demonstration of…

量子物理 · 物理学 2025-12-02 D. K. He , Z. Song

The discovery of topological phases has ushered in a new era of condensed matter physics and revealed a variety of natural and artificial materials. They obey the bulk-boundary correspondence (BBC), which guarantees the emergence of…

其他凝聚态物理 · 物理学 2026-03-06 Yu-Peng Ma , Ming-Jian Gao , Jun-Hong An

A non-Hermitian generalization of the Su-Schrieffer-Heeger model driven by a periodic external potential is investigated, and its topological features are explored. We find that the bi-orthonormal geometric phase acts as a topological…

介观与纳米尺度物理 · 物理学 2025-12-12 Vivek M. Vyas , Dibyendu Roy

We concisely review the recent evolution in the study of parafermions -- exotic emergent excitations that generalize Majorana fermions and similarly underpin a host of novel phenomena. First we illustrate the intimate connection between…

强关联电子 · 物理学 2016-04-01 Jason Alicea , Paul Fendley

The electroweak phase transition provides the most attractive framework to account for the baryon asymmetry of the universe. Comparing results of perturbative and nonperturbative studies is not straightforward, however, due to the different…

高能物理 - 唯象学 · 物理学 2009-09-25 A. Piróth

We propose and present a concept of Topological Distance (TD), obtained from the integration of trace distance over the generalized Brillouin zone, in order to characterize the topological transitions of non-Hermitian systems. Specifically,…

介观与纳米尺度物理 · 物理学 2025-08-13 ZhaoXiang Fang , Yongxu Fu , Guang-Can Guo , Long Xiong

Andreev bound states (ABSs) in hybrid semiconductor-superconductor nanowires can have near-zero energy in parameter regions where band topology predicts trivial phases. This surprising fact has been used to challenge the interpretation of a…

介观与纳米尺度物理 · 物理学 2019-11-11 J. Avila , F. Peñaranda , E. Prada , P. San-Jose , R. Aguado

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

Strong disorder drives conventional Hermitian systems into Anderson insulating states, suppressing all topological phases. Here, we unveil symmetry-protected, anomalous topological phases in the strong disorder limit of a non-Hermitian…

介观与纳米尺度物理 · 物理学 2026-02-11 Mina Ren , Xi Shi , Haitao Jiang , Feng Liu , Hong Chen , Yong Sun

The exotic physics emerging in non-Hermitian systems with balanced distributions of gain and loss has drawn a great deal of attention in recent years. These systems exhibit phase transitions and exceptional point singularities in their…

光学 · 物理学 2021-03-17 Arik Bergman , Robert Duggan , Kavita Sharma , Moshe Tur , Avi Zadok , Andrea Alu

Both theoretical and experimental studies of topological phases in non-Hermitian systems have made a remarkable progress in the last few years of research. In this article, we review the key concepts pertaining to topological phases in…

介观与纳米尺度物理 · 物理学 2019-07-18 Ananya Ghatak , Tanmoy Das

Non-Hermitian systems exhibit anomalous scaling, a striking departure from conventional bulk laws, rooted in the non-Hermitian skin effect (NHSE). Here, we experimentally uncover this scaling and demonstrate its active control in a temporal…

光学 · 物理学 2026-03-30 Shulin Wang , Jiawei He , Zhiyuan Yang , Stefano Longhi , Peng Xue

Periodically driven non-Hermitian systems could possess exotic nonequilibrium phases with unique topological, dynamical and transport properties. In this work, we introduce an experimentally realizable two-leg ladder model subjecting to…

量子物理 · 物理学 2020-08-26 Longwen Zhou

Non-Hermitian systems with exceptional points lead to many intriguing phenomena due to the coalescence of both eigenvalues and corresponding eigenvectors, in comparison to Hermitian systems where only eigenvalues degenerate. In this paper,…

量子物理 · 物理学 2022-10-05 youneng Guo , Guoyou Wang

Recently, concepts of topological phases of matter are extended to non-equilibrium systems, especially periodically driven systems. In this paper, we construct an example which shows non-equilibrium topological phase transitions using…

量子气体 · 物理学 2014-01-31 Masaya Nakagawa , Norio Kawakami

The zero-mode corner states in the gap of two-dimensional non-Hermitian Su-Schrieffer-Heeger model are robust to infinitesimal perturbations that preserve chiral symmetry. However, we demonstrate that this general belief is no longer valid…

量子物理 · 物理学 2026-01-06 Xue-Min Yang , Hao Lin , Jian Li , Jia-Ji Zhu , Jun-Li Zhu , Hong Wu

Exceptional points (EPs), a unique feature of non-Hermitian systems, represent degeneracies in non-Hermitian operators that likely do not occur in Hermitian systems. Nevertheless, unlike its fermionic counterpart, a Hermitian bosonic Kitaev…

量子物理 · 物理学 2025-10-07 D. K. He , Z. Song
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