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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

Bulk-edge correspondence, with quantized bulk topology leading to protected edge states, is a hallmark of topological states of matter and has been experimentally observed in electronic, atomic, photonic, and many other systems. While…

Rarely noted paradoxes and their resolution lead to non-Hermitian behaviors due to boundary terms, even for closed systems and with real potentials. The role played by these non-Hermiticities on quantum mechanical uncertainty relations is…

综合物理 · 物理学 2021-10-05 K. Moulopoulos

In some non-Hermitian systems, the eigenstates in the bulk are localized at the boundaries of the systems. This is called the non-Hermitian skin effect, and it has been studied mostly in discrete systems. In the present work, we study the…

介观与纳米尺度物理 · 物理学 2022-05-09 Kazuki Yokomizo , Taiki Yoda , Shuichi Murakami

Non-Hermitian theory is a theoretical framework that excels at describing open systems. It offers a powerful tool in the characterization of both the intrinsic degrees of freedom (DOFs) of a system and the interactions with the external…

量子物理 · 物理学 2024-05-28 Kun Ding , Chen Fang , Guancong Ma

Recently, the study of non-Hermitian physics has attracted considerable attention. The modified bulk-boundary correspondence has been proposed to understand topological edge states in non-Hermitian static systems. Here we report a new…

光学 · 物理学 2019-06-18 Bo Wang , Tian Chen , Xiangdong Zhang

Non-Hermitian (NH) lattice Hamiltonians display a unique kind of energy gap and extreme sensitivity to boundary conditions. Due to the NH skin effect, the separation between edge and bulk states is blurred and the (conventional)…

量子物理 · 物理学 2023-10-25 Matteo Brunelli , Clara C. Wanjura , Andreas Nunnenkamp

Solids built out of active components can exhibit non-reciprocal elastic coefficients that give rise to non-Hermitian wave phenomena. Here, we investigate non-Hermitian effects present at the boundary of two-dimensional active elastic media…

软凝聚态物质 · 物理学 2020-09-16 Colin Scheibner , William T. M. Irvine , Vincenzo Vitelli

The breakdown of the conventional bulk-boundary correspondence due to non-Hermitian skin effect leads to the non-Bloch bulk-boundary correspondence in the generalized Brillouin zone. Inspired by the case of the equivalence between the…

量子物理 · 物理学 2022-01-05 Y. Z. Han , J. S. Liu , C. S. Liu

Spectral winding of complex eigenenergies represents a topological aspect unique in non-Hermitian systems, which vanishes in one-dimensional (1D) systems under the open boundary conditions (OBC). In this work, we discover a boundary…

介观与纳米尺度物理 · 物理学 2023-04-18 Zuxuan Ou , Yucheng Wang , Linhu Li

We investigate gap-closings in one- and two-dimensional tight-binding models with two bands, containing non-Hermitian hopping terms, and open boundary conditions (OBCs) imposed along one direction. We compare the bulk OBC spectra with the…

量子物理 · 物理学 2024-11-22 Ipsita Mandal

Recent years have seen a growing interest in topological phases beyond the standard paradigm of gapped, isolated systems. One recent direction is to explore topological features in non-hermitian systems that are commonly used as effective…

介观与纳米尺度物理 · 物理学 2026-02-03 Carlos Ortega-Taberner , Maria Hermanns

The bulk-boundary correspondence (BBC) relates in-gap boundary modes to bulk topological invariants. In certain non-Hermitian topological systems, conventional BBC becomes invalid in the presence of the non-Hermitian skin effect (NHSE),…

介观与纳米尺度物理 · 物理学 2024-04-15 Rijia Lin , Linhu Li

Non-Hermitian systems as theoretical models of open or dissipative systems exhibit rich novel physical properties and fundamental issues in condensed matter physics.We propose a generalized local-global correspondence between the…

量子物理 · 物理学 2023-08-11 Annan Fan , Shi-Dong Liang

In this paper, we review our non-Bloch band theory in one-dimensional non-Hermitian tight-binding systems. In our theory, it is shown that in non-Hermitian systems, the Brillouin zone is determined so as to reproduce continuum energy bands…

介观与纳米尺度物理 · 物理学 2020-11-26 Kazuki Yokomizo , Shuichi Murakami

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 skin effect, the localization of an extensive number of eigenstates at the ends of the system, has greatly expanded the frontier of physical laws. It has long been believed that the present of skin modes is equivalent to the…

介观与纳米尺度物理 · 物理学 2023-04-17 Gang-Feng Guo , Xi-Xi Bao , Han-Jie Zhu , Xiao-Ming Zhao , Lin Zhuang , Lei Tan , Wu-Ming Liu

The non-Hermitian bulk-boundary correspondence features an interplay between the non-Hermitian skin effect and anomalous boundary-mode behavior. Whereas the skin effect is known to manifest itself in quantum dynamics in the form of chiral…

介观与纳米尺度物理 · 物理学 2025-06-23 Fan Yang , Maria Zelenayova , Paolo Molignini , Emil J. Bergholtz

In classical Hermitian continuous media, the spectral-flow index of topological modes is linked to the bulk topology via index theorem. However, the interface between two bulks is usually non-Hermitian due to the inhomogeneities of system…

等离子体物理 · 物理学 2024-06-17 Yichen Fu , Hong Qin

The non-Hermitian skin effect refers to the accumulation of eigenstates near the boundary in open boundary lattice models, which can be systematically characterized using the non-Bloch band theory. Here, we apply the non-Bloch band theory…

量子物理 · 物理学 2024-09-11 Bo Li , He-Ran Wang , Fei Song , Zhong Wang