English
Related papers

Related papers: Spawning rings of exceptional points out of Dirac …

200 papers

This paper discusses the properties of flexural waves obeying the biharmonic equation, propagating in a thin plate pinned at doubly-periodic sets of points. The emphases are on the properties of dispersion surfaces having the Dirac cone…

Mathematical Physics · Physics 2015-08-19 R. C. McPhedran , A. B. Movchan , N. V. Movchan , M. Brun , M. J. A. Smith

Honeycomb structures lead to conically degenerate points on the dispersion surfaces. These spectral points, termed as Dirac points, are responsible for various topological phenomena. In this paper, we investigate the generalized…

Analysis of PDEs · Mathematics 2024-02-23 Borui Miao , Yi Zhu

Topological insulators (TIs) are a new class of matter characterized by the unique electronic properties of an insulating bulk and metallic boundaries arising from non-trivial bulk band topology. While the surfaces of TIs have been well…

Materials Science · Physics 2014-10-09 L. Seixas , D. West , A. Fazzio , S. B. Zhang

Twisted bilayer graphene (TBG) has extraordinary electronic properties at the magic angle along with an isolated flat band at the magic angle. However, the non-Hermitian phenomena in twisted bilayer graphene remain unexplored. In this work,…

Mesoscale and Nanoscale Physics · Physics 2025-02-17 Yingyi Huang

Two-dimensional Dirac semimetal with tilted Dirac cone has recently attracted increasing interest. Tilt of Dirac cone can be realized in a number of materials, including deformed graphene, surface state of topological crystalline insulator,…

Strongly Correlated Electrons · Physics 2018-11-21 Zhao-Kun Yang , Jing-Rong Wang , Guo-Zhu Liu

Semiconductor superlattices may display dispersions that are degenerate either at the zone center or zone boundary. We show that they are linear upon the wave-vector in the vicinity of the crossing point. This establishes a realisation of…

Mesoscale and Nanoscale Physics · Physics 2015-01-15 Francesca Carosella , Andreas Wacker , Robson Ferreira , Gérald Bastard

The over-tilting of Dirac cones has led to various fascinating quantum phenomena. Here we find that two anomalous acoustic plasmons (AAPs) are dictated by the distinct geometry of two-dimensional (2D) type-II Dirac cones, far beyond the…

Mesoscale and Nanoscale Physics · Physics 2026-04-08 Chang-Xu Yan , Furu Zhang , Chao-Yang Tan , Hao-Ran Chang , Jianhui Zhou , Yugui Yao

Dirac points lie at the heart of many fascinating phenomena in condensed matter physics, from massless electrons in graphene to the emergence of conducting edge states in topological insulators [1, 2]. At a Dirac point, two energy bands…

Quantum Gases · Physics 2013-06-26 Leticia Tarruell , Daniel Greif , Thomas Uehlinger , Gregor Jotzu , Tilman Esslinger

Topological semimetals, known for their intriguing properties arising from band degeneracies, have garnered significant attention. However, the discovery of a material realization and the detailed characterization of spinless Dirac…

Periodically driven systems can host many interesting and intriguing phenomena. The irradiated two-dimensional Dirac systems, driven by circularly polarized light, are the most attractive thanks to intuitive physical view of the absorption…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Jin-Yu Zou , Bang-Gui Liu

This article presents experimental results on properties of waves propagating in an unbounded and a bounded photonic crystal consisting of metallic cylinders which are arranged in a triangular lattice. First, we present transmission…

Other Condensed Matter · Physics 2012-02-09 S. Bittner , B. Dietz , M. Miski-Oglu , A. Richter

Many of graphene's unique electronic properties emerge from its Dirac-like electronic energy spectrum. Similarly, it is expected that a nanophotonic system featuring Dirac dispersion will open a path to a number of important research…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 J. Bravo-Abad , J. D. Joannopoulos , M. Soljacic

Electrons in solids are characterized by the energy bands, which indicate that electrons are considered to be "elementary particles" with specific effective masses and g-factors reflecting features of each solid. There are cases where these…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Hidetoshi Fukuyama , Akito Kobayashi , Yoshikazu Suzumura

When sources of energy gain and loss are introduced to a wave-scattering system, the underlying mathematical formulation will be non-Hermitian. This paves the way for the existence of exceptional points, where eigenmodes are linearly…

Analysis of PDEs · Mathematics 2021-03-15 Habib Ammari , Bryn Davies , Erik Orvehed Hiltunen , Hyundae Lee , Sanghyeon Yu

In Dirac materials linear band dispersion blocks momentum-conserving interband transitions, creating a bottleneck for electron-hole pair production and carrier multiplication in the photoexcitation cascade. Here we show that the decays are…

Mesoscale and Nanoscale Physics · Physics 2018-02-16 Cyprian Lewandowski , L. S. Levitov

Interaction of graphene with a defect layer of a 1D defective photonic structure correspondingly could open a Dirac gap in its nonlinear energy dispersion. Also, an excitonic gap could be created upon applied strong magnetic fields at low…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Dariush Jahani

Two-dimensional semimetals with tilted Dirac cones in the electronic band structure are shown to exhibit spatial separation of carriers belonging to different valleys under illumination. In stark contrast to gapped Dirac materials this…

Mesoscale and Nanoscale Physics · Physics 2023-11-08 A. Wild , E. Mariani , M. E. Portnoi

We demonstrate that a periodic waveguide comprising of uniform lossless segments together with discrete gain and radiating elements supports exceptional points of degeneracy (EPDs). We provide analytical expressions for all possible…

Applied Physics · Physics 2021-06-16 Ahmed F. Abdelshafy , Tarek Mealy , Ehsan Hafezi , Alireza Nikzamir , Filippo Capolino

We consider light scattering by two dimensional arrays of high-index dielectric spheres arranged into the triangular lattice. It is demonstrated that in the case a triple degeneracy of resonant leaky modes in the Gamma-point the scattering…

Optics · Physics 2019-09-04 E. N. Bulgakov , D. N. Maksimov

We calculate the effect of a Dirac point (a conical singularity in the band structure) on the transmission of monochromatic radiation through a photonic crystal. The transmission as a function of frequency has an extremum at the Dirac…

Optics · Physics 2007-06-13 R. A. Sepkhanov , Ya. B. Bazaliy , C. W. J. Beenakker