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A flat band is nondispersive and formed under destructive interference. Although flat bands are found in various Hermitian systems, to realize a flat band in non-Hermitian systems is an interesting task. Here, we propose a flat band in a…

量子物理 · 物理学 2019-03-07 L. Jin

We study non-Hermitian photonic lattices that exhibit competition between conservative and non-Hermitian (gain/loss) couplings. A bipartite sublattice symmetry enforces the existence of non-Hermitian flat bands, which are typically embedded…

光学 · 物理学 2017-08-30 Daniel Leykam , Sergej Flach , Y. D. Chong

In this work we first discuss systematically three general approaches to construct a non-Hermitian flat band, defined by its dispersionless real part. They resort to, respectively, spontaneous restoration of non-Hermitian particle-hole…

光学 · 物理学 2018-03-23 Li Ge

Symmetry-protected ideal flat bands in one-dimensional (1D) Hermitian lattices are populated by compact localized states (CLS) - a special class of localization with wavefunctions confined within a small region. In this work, we discover…

量子物理 · 物理学 2025-12-24 Xulong Wang , Dongyi Wang , Congwei Lu , Ruo-Yang Zhang , Ching Hua Lee , Kun Ding , Guancong Ma

Flat band and non-Hermitian are both significant conceptions in modern physics. In this study, we delve into the behaviours of flat bands in non-Hermitian systems, focusing on the interplay between the flat band and its dispersive…

经典物理 · 物理学 2025-01-06 Dongyi Wang , Ruoyang Zhang , Chinghua Lee , Kun Ding , Guancong Ma

Dispersionless bands -- flatbands -- have been actively studied thanks to their interesting properties and sensitivity to perturbations, which makes them natural candidates for exotic states. In parallel non-Hermitian systems have attracted…

介观与纳米尺度物理 · 物理学 2021-07-14 Wulayimu Maimaiti , Alexei Andreanov

Flatbands (FBs) are dispersionless energy bands in the single-particle spectrum of a translational invariant tight-binding network. The FBs occur due to destructive interference, resulting in macroscopically degenerate eigenstates living in…

强关联电子 · 物理学 2020-11-11 Wulayimu Maimaiti

Flat energy bands of model lattice Hamiltonians provide a key ingredient in designing dispersionless wave excitations and have become a versatile platform to study various aspects of interacting many-body systems. Their essential merit lies…

介观与纳米尺度物理 · 物理学 2021-07-15 C. V. Morfonios , M. Röntgen , M. Pyzh , P. Schmelcher

The spectral properties of a non-Hermitian quasi-1D lattice in two of the possible dimerization configurations are investigated. Specifically, it focuses on a non-Hermitian diamond chain that presents a zero-energy flat band. The flat band…

介观与纳米尺度物理 · 物理学 2023-12-19 C. Martínez-Strasser , M. A. J. Herrera , A. García-Etxarri , G. Palumbo , F. K. Kunst , D. Bercioux

In recent years, non-Hermitian phases in classical and quantum systems have garnered significant attention. In particular, their intriguing band geometry offers a platform for exploring unique topological states and unconventional quantum…

介观与纳米尺度物理 · 物理学 2023-10-10 Ayan Banerjee , Arka Bandyopadhyay , Ronika Sarkar , Awadhesh Narayan

Depending on the lattice geometry, the nearest-neighbor (NN) tight-binding model for free fermions gives rise to particle-hole symmetric emergent Dirac liquid, Fermi liquid, and flat bands near the half-filling or zero-energy on bipartite…

强关联电子 · 物理学 2026-05-11 Christopher A. Leong , Bitan Roy

Exotic phases of matter emerge from the interplay between strong electron interactions and non-trivial topology. Owing to their lack of dispersion at the single-particle level, systems harboring flat bands are excellent testbeds for…

介观与纳米尺度物理 · 物理学 2022-01-24 Dumitru Călugăru , Aaron Chew , Luis Elcoro , Nicolas Regnault , Zhi-Da Song , B. Andrei Bernevig

We demonstrate that the non-Hermitian parity-time (PT) symmetric interfaces formed between amplifying and lossy crystals support dissipationless edge states. These PT edge states exhibit gapless spectra in the complex band structure…

介观与纳米尺度物理 · 物理学 2018-10-24 Xiang Ni , Daria Smirnova , Alexander Poddubny , Daniel Leykam , Yidong Chong , Alexander B. Khanikaev

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

The current understanding of the role of topology in non-Hermitian (NH) systems and its far-reaching physical consequences observable in a range of dissipative settings are reviewed. In particular, how the paramount and genuinely NH concept…

介观与纳米尺度物理 · 物理学 2021-03-03 Emil J. Bergholtz , Jan Carl Budich , Flore K. Kunst

Non-Hermitian systems exhibit interesting band structures, where novel topological phenomena arise from the existence of exceptional points at which eigenvalues and eigenvectors coalesce. One important open question is how this would…

介观与纳米尺度物理 · 物理学 2023-10-20 Marcus Stålhammar , Cristiane Morais Smith

We investigate the band structure and topological phases of one- and two-dimensional bipartite atomic lattices mediated by long-range dissipative radiative coupling. By deriving an effective non-Hermitian Hamiltonian for the…

量子物理 · 物理学 2026-01-05 Wenxuan Xie , John C Schotland

It has long been noticed that special lattices contain single-electron flat bands (FB) without any dispersion. Since the kinetic energy of electrons is quenched in the FB, this highly degenerate energy level becomes an ideal platform to…

强关联电子 · 物理学 2014-07-16 Zheng Liu , Feng Liu , Yong-Shi Wu

Higher-order exceptional points (EPs), which appear as multifold degeneracies in the spectra of non-Hermitian systems, are garnering extensive attention in various multidisciplinary fields. However, constructing higher-order EPs still…

We show the existence of a flat band consisting of photonic zero modes in a gain and loss modulated lattice system, as a result of the underlying non-Hermitian particle-hole symmetry. This general finding explains the previous observation…

光学 · 物理学 2018-03-07 Bingkun Qi , Lingxuan Zhang , Li Ge
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