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The non-trivial topological features in the energy band of non-Hermitian systems provide promising pathways to achieve robust physical behaviors in classical or quantum open systems. A key topological feature, unique to non-Hermitian…

光学 · 物理学 2021-11-29 Kai Wang , Avik Dutt , Ki Youl Yang , Casey C. Wojcik , Jelena Vučković , Shanhui Fan

The Weyl exceptional nodal lines usually occur in 3D topological semimetals, but also emerge in the parameter space of 1D systems. In this work, we study the impact of dissipation on the nodal ring in a 3D topological semimetal. We find…

强关联电子 · 物理学 2026-02-11 E. S. Ma , Z. Song

We investigate non-Hermitian elastic lattices characterized by non-local feedback control interactions. In one-dimensional lattices, we show that the proportional control interactions produce complex dispersion relations characterized by…

介观与纳米尺度物理 · 物理学 2020-06-24 Matheus I. N. Rosa , Massimo Ruzzene

Strongly-correlated systems in non-Hermitian models are an emergent area of research. Here we consider a non-Hermitian Hubbard model, where the single-particle hopping amplitudes on the lattice are not reciprocal, and provide exact…

强关联电子 · 物理学 2025-03-25 Stefano Longhi

Recent realizations of exotic topological states in condensed matter and cold atoms have advanced the exploration for topological characteristics, such as invariant topological orders and band inversion. Here we construct a 1D optical…

光学 · 物理学 2018-09-14 Jun Jiang , Zhiwei Guo , Weiwei Zhu , Yang Long , Haitao Jiang , Jie Ren , Hong Chen

Topological phases like topological insulators or superconductors are fascinating quantum states of matter, featuring novel properties such as emergent chiral edge states or Majorana fermions with non-Abelian braiding statistics. The recent…

量子气体 · 物理学 2016-03-30 Bo Liu , Xiaopeng Li , W. Vincent Liu

The concept of non-Hermiticity has expanded the understanding of band topology leading to the emergence of counter-intuitive phenomena. One example is the non-Hermitian skin effect (NHSE), which involves the concentration of eigenstates at…

The complex eigenenergies and non-orthogonal eigenstates of non-Hermitian systems exhibit unique topological phenomena that cannot appear in Hermitian systems. Representative examples are the non-Hermitian skin effect and exceptional…

量子物理 · 物理学 2025-12-19 Jung-Wan Ryu , Jae-Ho Han , Chang-Hwan Yi , Hee Chul Park , Moon Jip Park

Recently, there has been a lot of activity in the research field of topological non-Hermitian physics, partly driven by fundamental interests and partly driven by applications in photonics. However, despite these activities, a general…

介观与纳米尺度物理 · 物理学 2019-06-26 W. B. Rui , Y. X. Zhao , Andreas P. Schnyder

Non-Hermiticity enriches the contents of topological classification of matter including exceptional points, bulk-edge correspondence and skin effect. Gain and loss can be described by imaginary diagonal elements in Hamiltonians and the…

介观与纳米尺度物理 · 物理学 2020-07-15 X. L. Zhao , L. B. Chen , L. B. Fu , X. X. Yi

We analyze a two-dimensional Kondo lattice model with special emphasis on non-Hermitian properties of the single-particle spectrum, following a recent proposal by Kozii and Fu. Our analysis based on the dynamical mean-field theory…

强关联电子 · 物理学 2018-08-01 Tsuneya Yoshida , Robert Peters , Norio Kawakami

Non-Hermitian topological phases, which exhibit unique features such as skin effect and exceptional points originated from nontrivial band topologies in complex plane, have attracted enormous attention in condensed-matter physics and…

介观与纳米尺度物理 · 物理学 2024-07-08 Yejian Hu , Jien Wu , Peidong Ye , Weiyin Deng , Jiuyang Lu , Xueqin Huang , Ziyu Wang , Manzhu Ke , Zhengyou Liu

We construct a minimal four-band model for the two-dimensional (2D) topological insulators and quantum anomalous Hall insulators based on the $p_x$- and $p_y$-orbital bands in the honeycomb lattice. The multiorbital structure allows the…

介观与纳米尺度物理 · 物理学 2014-08-12 Gu-Feng Zhang , Yi Li , Congjun Wu

Spectral degeneracies (dubbed nodal points in momentum space) play fundamental roles in understanding exotic properties of light and matter. In lattice systems, unpaired band-structure degeneracies are subject to well-established no-go…

介观与纳米尺度物理 · 物理学 2026-03-30 Kunkun Wang , J. Lukas K. König , Kang Yang , Lei Xiao , Wei Yi , Emil J. Bergholtz , Peng Xue

The spectral and dynamical properties of dissipative quantum systems, as modeled by a damped oscillator in the Fock space, are investigated from a topological point of view. Unlike a physical lattice system that is naturally under the open…

量子物理 · 物理学 2021-06-02 Jian-Song Pan , Linhu Li , Jiangbin Gong

The non-Hermitian skin effect, as a unique feature of non-Hermitian systems, will break the topological energy braiding of the Bloch bands in open boundary systems. Going beyond the Bloch band theory, we unveil the energy braiding of the…

介观与纳米尺度物理 · 物理学 2023-10-20 Yang Li , Xiang Ji , Yuanping Chen , Xiaohong Yan , Xiaosen Yang

We propose a scheme to simulate and explore Weyl semimetal physics with ultracold fermionic atoms in a two-dimensional square optical lattice subjected to experimentally realizable spin-orbit coupling and an artificial dimension from an…

量子气体 · 物理学 2015-07-29 Dan-Wei Zhang , Shi-Liang Zhu , Z. D. Wang

Exceptional points are universal level degeneracies induced by non-Hermiticity. Whereas past decades witnessed their new physics, the unified understanding has yet to be obtained. Here we present the complete classification of generic…

介观与纳米尺度物理 · 物理学 2019-08-13 Kohei Kawabata , Takumi Bessho , Masatoshi Sato

Three band crossings can arise in three dimensional quantum materials with certain space group symmetries. The low energy Hamiltonian supports spin $\textit{one}$ fermions and a flat band. We study the pairing problem in this setting. We…

强关联电子 · 物理学 2018-05-02 Yu-Ping Lin , Rahul M. Nandkishore

We explore the topological properties of double-Weyl semimetals with cold atoms in optical lattices. We first propose to realize a tight-binding model of simulating the double-Weyl semimetal with a pair of double-Weyl points by engineering…

量子气体 · 物理学 2017-06-23 Xue-Ying Mai , Dan-Wei Zhang , Zhi Li , Shi-Liang Zhu