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The breakdown of conventional bulk-boundary correspondence, a cornerstone of topological physics, is one of counter-intuitive phenomena in non-Hermitian systems, that is deeply rooted in symmetry. In particular, preserved chiral symmetry is…

介观与纳米尺度物理 · 物理学 2025-04-08 Miao Zhang , Yue Zhang , Shuai Li , Rui Tian , Tianhao Wu , Yingchao Xu , Yi-an Li , Yuanbang Wei , Hong Gao , M. Suhail Zubairy , Fuli Li , Bo Liu

We construct a two-dimensional, discrete-time quantum walk exhibiting non-Hermitian skin effects under open-boundary conditions. As a confirmation of the non-Hermitian bulk-boundary correspondence, we show that the emergence of topological…

介观与纳米尺度物理 · 物理学 2021-03-03 Tianyu Li , Yong-Sheng Zhang , Wei Yi

In non-Hermitian crystals showing the non-Hermitian skin effect, ordinary Bloch band theory and Bloch topological invariants fail to correctly predict energy spectra, topological boundary states, and symmetry breaking phase transitions in…

量子物理 · 物理学 2019-09-18 Stefano Longhi

The past decades have witnessed an explosion of interest in topological materials, and a lot of mathematical concepts have been introduced in condensed matter physics. Among them, the bulk-boundary correspondence is the central topic in…

介观与纳米尺度物理 · 物理学 2023-03-29 Nobuyuki Okuma , Masatoshi Sato

Periodically driven systems, characterised by their inherent non-equilibrium dynamics, are ubiquitously found in both classical and quantum regimes. In the field of photonics, these Floquet systems have begun to provide insight into how…

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

Non-Hermitian band theory distinguishes between line gaps and point gaps. While point gaps can give rise to intrinsic non-Hermitian band topology without Hermitian counterparts, line-gapped systems can always be adiabatically deformed to a…

介观与纳米尺度物理 · 物理学 2023-08-03 Frank Schindler , Kaiyuan Gu , Biao Lian , Kohei Kawabata

Topological edge modes are excitations that are localized at the materials' edges and yet are characterized by a topological invariant defined in the bulk. Such bulk-edge correspondence has enabled the creation of robust electronic,…

介观与纳米尺度物理 · 物理学 2020-11-30 Ananya Ghatak , Martin Brandenbourger , Jasper van Wezel , Corentin Coulais

The synergy of non-Hermitian and topology renders the bulk-boundary correspondence (BBC) even more elusive. Here we study a non-Hermitian Creutz ladder that incorporates both gain-loss and nonreciprocity, and construct multiple BBCs…

量子物理 · 物理学 2026-05-11 Xin Li , TongYi Li , JingYu Peng , Yu Wang

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

We demonstrate that Hermitian, nonlocal parametric pairing processes can induce non-Hermitian topology and skin modes, offering a simple alternative to complex bath engineering. Our model, stabilized by local dissipation and operating in…

介观与纳米尺度物理 · 物理学 2025-05-06 Markus Bestler , Alexander Dikopoltsev , Oded Zilberberg

Non-Hermitian systems exhibit striking exceptions from the paradigmatic bulk-boundary correspondence, including the failure of bulk Bloch band invariants in predicting boundary states and the (dis)appearance of boundary states at parameter…

介观与纳米尺度物理 · 物理学 2018-07-17 Flore K. Kunst , Elisabet Edvardsson , Jan Carl Budich , Emil J. Bergholtz

There has been much recent interest and progress on topological structures of the non-Hermitian Bloch bands. Here, we study the topological structures of non-Bloch bands of non-Hermitian multiband quantum systems under open boundary…

介观与纳米尺度物理 · 物理学 2024-09-10 Yongxu Fu , Yi Zhang

Non-Hermitian skin effect exhibits the collapse of the extended bulk modes into the extensive number of localized boundary states in open boundary conditions. Here we demonstrate the disorder-driven phase transition of the trivial…

介观与纳米尺度物理 · 物理学 2021-09-08 Kyoung-Min Kim , Moon Jip Park

In this paper, we study a non-Hermitian (NH) ladder subjected to a variety of driving protocols. The driven system looses chiral symmetry (CS) whose presence is indispensable for its topological characterization. Further, the bulk boundary…

介观与纳米尺度物理 · 物理学 2025-04-03 Koustav Roy , Koustabh Gogoi , Saurabh Basu

It has been known that the bulk-boundary correspondence (BBC) of the non-Hermitian skin effect is characterized by the topology of the complex eigenvalue spectra, while the topology of the wave function gives rise to Hermitian BBC with…

介观与纳米尺度物理 · 物理学 2024-02-05 Sonu Verma , Moon Jip Park

We establish a non-Bloch band theory for one-dimensional(1D) non-Hermitian topological superconductors. The universal physical properties of non-Hermitian topological superconductors are revealed based on the theory. According to the…

超导电性 · 物理学 2023-10-20 Yang Cao , Yang Li , Yuanping Chen , Xiaosen Yang

Floquet engineering, modulating quantum systems in a time periodic way, lies at the central part for realizing novel topological dynamical states. Thanks to the Floquet engineering, various new realms on experimentally simulating…

量子物理 · 物理学 2022-07-13 Huan-Yu Wang , Xiao-Ming Zhao , Lin Zhuang , Wu-Ming Liu

Over the past few years, topological insulators have taken center stage in solid state physics. The desire to tune the topological invariants of the bulk and thus control the number of edge states has steered theorists and experimentalists…

介观与纳米尺度物理 · 物理学 2014-10-01 J. K. Asboth , B. Tarasinski , P. Delplace

The bulk-edge correspondence is one of the most important ingredients in the theory of topological phases of matter. While the bulk-edge correspondence is applicable for Hermitian junction systems where two subsystems with independent…

介观与纳米尺度物理 · 物理学 2023-10-27 Geonhwi Hwang , Hideaki Obuse