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In this work, we present a mathematical theory for Dirac points and interface modes in honeycomb topological photonic structures consisting of impenetrable obstacles. Starting from a honeycomb lattice of obstacles attaining…

Mathematical Physics · Physics 2024-05-08 Wei Li , Junshan Lin , Jiayu Qiu , Hai Zhang

Vortex crystals are geometric arrays of vortices found in various physics fields, owing their regular internal structure to mutual interactions within a spatially confined system. In optics, vortex crystals may form spontaneously within a…

We study the electronic structure and the phase diagram of non-interacting fermions confined to hexagonal optical lattices. In the first part, we compare the properties of Dirac points arising in the eigenspectrum of either honeycomb or…

Mesoscale and Nanoscale Physics · Physics 2008-11-03 B. Wunsch , F. Guinea , F. Sols

We propose a system that exploits the fundamental features of topological photonics and synthetic dimensions to force many semiconductor laser resonators to synchronize, mutually lock, and under suitable modulation emit a train of…

Networks of optically coupled semiconductor lasers are of high interest for fundamental investigations and for enabling numerous technological applications in material processing, lighting and information processing. Still, experimental…

Three-dimensional (3D) topological Dirac semimetals (TDSs) are rare but important as a versatile platform for exploring exotic electronic properties and topological phase transitions. A quintessential feature of TDSs is 3D Dirac fermions…

Topologically protected one-way transportation of sound, mimicking the topological properties of the condensed matter, has received greatly attentions. Thus far, the topological phases and the topological edge states of sound are yielded in…

Materials Science · Physics 2018-04-18 Bai-Zhan Xia , Sheng-Jie Zheng , Ning Chen , Ting-Ting Liu , Jun-Rui Jiao , Hong-Qing Dai , De-Jie Yu , Jian Liu

This work presents a rigorous theory for topological photonic materials in one dimension. The main focus is on the existence and stability of interface modes that are induced by topological properties of the bulk structure. For a general 1D…

Mathematical Physics · Physics 2022-12-28 Junshan Lin , Hai Zhang

We find diffraction-free beams for graphene and MoS$_2$-type honeycomb optical lattices. The resulting composite solutions have the form of multi-vortices, with spinor topological charges ($n$, $n\pm1$). Exact solutions for the spinor…

Optics · Physics 2016-04-13 Vassilis Paltoglou , Zhigang Chen , Nikolaos K. Efremidis

We introduce the notion of a band-inverted, topological semimetal in two-dimensional nonsymmorphic crystals. This notion is materialized in the monolayers of MTe$_2$ (M $=$ W, Mo) if spin-orbit coupling is neglected. We characterize the…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Lukas Muechler , Aris Alexandradinata , Titus Neupert , Roberto Car

We study with first-principles methods the interplay between bulk and surface Dirac fermions in three dimensional Dirac semimetals. By combining density functional theory with the coherent potential approximation, we reveal a topological…

Mesoscale and Nanoscale Physics · Physics 2014-12-18 Awadhesh Narayan , Domenico Di Sante , Silvia Picozzi , Stefano Sanvito

We consider different generalizations of the honeycomb lattice to three dimensional structures. We address the family of the hyper-honeycomb lattice, which is made up of alternating layers of 2D honeycomb nano-ribbons, with each layer…

Mesoscale and Nanoscale Physics · Physics 2016-08-09 Kieran Mullen , Bruno Uchoa , Bin Wang , Daniel Glatzhofer

The extension of the topological classification of band insulators to topological semimetals gave way to the topology classes of Dirac, Weyl, and nodal line semimetals with their unique Fermi arc and drum head boundary modes. Similarly,…

The recent discovery of higher-order topology has largely enriched the classification of topological materials. Theoretical and experimental studies have unveiled various higher-order topological insulators that exhibit topologically…

Mesoscale and Nanoscale Physics · Physics 2022-05-04 Zihao Wang , Dongjue Liu , Hau Tian Teo , Qiang Wang , Haoran Xue , Baile Zhang

We propose and characterize a new $\mathbb{Z}_2$ class of topological semimetals with a vanishing spin--orbit interaction. The proposed topological semimetals are characterized by the presence of bulk one-dimensional (1D) Dirac Line Nodes…

Materials Science · Physics 2015-12-03 Youngkuk Kim , Benjamin J. Wieder , C. L. Kane , Andrew M. Rappe

Topological concepts have been at the forefront of materials research in recent years, driving a revolution in our understanding of the response of quantum materials and enabling new ways to manipulate light and sound in topological…

Topology-linked binary degrees of freedom of guided waves have been used to expand the channel capacity of and to ensure robust transmission through photonic waveguides. However, selectively exciting optical modes associated with the…

Optics · Physics 2022-06-15 Yandong Li , Yang Yu , Kueifu Lai , Yuchen Han , Fei Gao , Baile Zhang , Gennady Shvets

The ability to control topological properties of laser emission represents a fundamental advancement in photonic technology. Achieving topological laser in a single compact photonic structure is crucial for device integration and…

Optics · Physics 2025-09-01 Xinhao Wang , Zhaochen Wu , Jiajun Wang , Lei Shi , Jian Zi

Artificial honeycomb lattices offer a tunable platform to study massless Dirac quasiparticles and their topological and correlated phases. Here we review recent progress in the design and fabrication of such synthetic structures focusing on…

Mesoscale and Nanoscale Physics · Physics 2013-09-13 Marco Polini , Francisco Guinea , Maciej Lewenstein , Hari C. Manoharan , Vittorio Pellegrini

Cavities play a fundamental role in optical physics by providing spatio-temporal confinement of energy that facilitates light-matter interactions. They are routinely utilized in a variety of settings, ranging from lasers to spectral…