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Related papers: Winding-control mechanism of non-Hermitian systems

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Complex-valued physical quantities, often non-conserved, represent key phenomena in non-Hermitian systems such as dissipation and localization. Recent advancements in non-Hermitian physics have revealed boundary-condition-sensitive band…

Applied Physics · Physics 2025-02-24 Yung Kim , Sonu Verma , Minwook Kyung , Kyungmin Lee , Wenwen Liu , Shuang Zhang , Bumki Min , Moon Jip Park

The energy bands of non-Hermitian systems exhibit nontrivial topological features that arise from the complex nature of the energy spectrum. Under periodic boundary conditions (PBC), the energy spectrum describes rather generally closed…

Quantum Physics · Physics 2022-07-26 Stefano Longhi

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…

Mesoscale and Nanoscale Physics · Physics 2023-04-18 Zuxuan Ou , Yucheng Wang , Linhu Li

We establish exact relations between the winding of "energy" (eigenvalue of Hamiltonian) on the complex plane as momentum traverses the Brillouin zone with periodic boundary condition, and the presence of "skin modes" with open boundary…

Mesoscale and Nanoscale Physics · Physics 2020-09-23 Kai Zhang , Zhesen Yang , Chen Fang

Amid the growing interest in non-Hermitian quantum systems, non-interacting models have received the most attention. Here, through the stochastic series expansion quantum Monte Carlo method, we investigate non-Hermitian physics in…

Quantum Physics · Physics 2023-12-12 Shi-Xin Hu , Yongxu Fu , Yi Zhang

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…

Mesoscale and Nanoscale Physics · Physics 2024-02-05 Sonu Verma , Moon Jip Park

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…

Mesoscale and Nanoscale Physics · Physics 2024-09-10 Yongxu Fu , Yi Zhang

The non-Hermitian skin effects are representative phenomena intrinsic to non-Hermitian systems: the energy spectra and eigenstates under the open boundary condition (OBC) drastically differ from those under the periodic boundary condition…

Mesoscale and Nanoscale Physics · Physics 2024-05-30 Yusuke O. Nakai , Nobuyuki Okuma , Daichi Nakamura , Kenji Shimomura , Masatoshi Sato

Bulk-boundary correspondences (BBCs) remain the central topic in modern condensed matter physics, and are gaining increasing interests with the recent discovery of non-Hermitian skin effects. However, there still exist profound features of…

Quantum Gases · Physics 2024-07-12 Huan-Yu Wang , Zhen-Biao Yang , Wu-Ming Liu

Periodic-boundary spectrum, open-boundary spectrum, as well as the generalized Brillouin zone (GBZ) are three essential properties of a one-dimensional non-Hermitian system. In this paper we illustrate that the deep connections between them…

Other Condensed Matter · Physics 2022-02-09 Deguang Wu , Jiao Xie , Yao Zhou , Jin An

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…

Quantum Physics · Physics 2024-11-22 Ipsita Mandal

Bulk-boundary correspondence, connecting the bulk topology and the edge states, is an essential principle of the topological phases. However, the bulk-boundary correspondence is broken down in general non-Hermitian systems. In this paper,…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Yang Cao , Yang Li , Xiaosen Yang

Boundary perturbations are generally irrelevant for bulk properties in the thermodynamic limit, as they are edge-confined and subextensive. We show that this expectation breaks down in boundary-driven systems exhibiting the non-Hermitian…

Quantum Physics · Physics 2026-04-14 Yu-Min Hu , Yu-Bo Shi , Linhu Li , Gianluca Teza , Ching Hua Lee , Roderich Moessner , Shu Zhang , Sen Mu

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…

Quantum Physics · Physics 2026-05-11 Xin Li , TongYi Li , JingYu Peng , Yu Wang

A non-Hermitian system can exhibit extensive sensitivity of its complex energy spectrum to the imposed boundary conditions, which is beyond any known phenomenon from Hermitian systems. In addition to topologically protected boundary modes,…

Other Condensed Matter · Physics 2019-05-15 Ching Hua Lee , Ronny Thomale

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…

Mesoscale and Nanoscale Physics · Physics 2024-11-27 Yu-Min Hu , Yin-Quan Huang , Wen-Tan Xue , Zhong Wang

In this work, we demonstrate the presence of an anomalous non-Hermitian skin effects which decay from both ends of a system consisting of two coupled Hermitian chains induced by non-reciprocal inter-chain cross-coupling. Another intriguing…

We establish a novel mechanism for topological transitions in non-Hermitian systems that are controlled by the system size. Based on a new paradigm known as exceptional-bound (EB) band engineering, its mechanism hinges on the unique…

Other Condensed Matter · Physics 2026-03-10 Mengjie Yang , Ching Hua Lee

The bulk-boundary correspondence (BBC), i.e. the direct relation between bulk topological invariants defined for infinite periodic systems and the occurrence of protected zero-energy surface states in finite samples, is a ubiquitous and…

Mesoscale and Nanoscale Physics · Physics 2020-04-17 Rebekka Koch , Jan Carl Budich

In this work we study topological properties of the one-dimensional Creutz ladder model with different non-Hermitian asymmetric hoppings and on-site imaginary potentials, and obtain phase diagrams regarding the presence and absence of an…

Quantum Physics · Physics 2022-01-14 Hui-Qiang Liang , Linhu Li
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