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We examine - both experimentally and numerically - a two-dimensional nonlinear driven electrical lattice with honeycomb structure. Drives are considered over a range of frequencies both outside (below and above) and inside the band of…

Pattern Formation and Solitons · Physics 2020-07-15 F. Palmero , L. Q. English , J. Cuevas-Maraver , P. G. Kevrekidis

Type-II Dirac points (DPs), which occur at the intersection of strongly tilted and touching energy bands, exhibit many intriguing physical phenomena fundamentally different from the non-tilted type-I counterparts. Over the past decade,…

Using a semi-analytic guided-mode expansion technique, we present theory and analysis of intrinsic propagation losses for topological photonic crystal slab waveguide structures with modified honeycomb lattices of circular or triangular…

Optics · Physics 2020-10-28 Erik Sauer , Juan Pablo Vasco , Stephen Hughes

When two nonorthogonal resonances are coupled to the same radiation channel, avoided crossing arises and a bound state in the continuum (BIC) appears in parametric space. This paper presents numerical and analytical results on the…

Optics · Physics 2020-07-02 Sun-Goo Lee , Seong-Han Kim , Chul-Sik Kee

The sublattice-symmetry breaking in the $\alpha-T_3$ lattice leads to a bandgap opening. A defect line in the substrate on which the $\alpha-T_3$ lattice is deposited can be viewed as a topological change in the substrate that induces…

Mesoscale and Nanoscale Physics · Physics 2026-02-12 J. P. G. Nascimento , J. M. Pereira , R. N. Costa Filho , F. M. Peeters , M. M. Freire , W. P. Lima , D. R. da Costa

We study a non-Hermitian variant of the (2+1)-dimensional Dirac wave equation, which hosts a real energy spectrum with pairwise-orthogonal eigenstates. In the spatially uniform case, the Hamiltonian's non-Hermitian symmetries allow its…

Mesoscale and Nanoscale Physics · Physics 2023-08-09 Yun Yong Terh , Rimi Banerjee , Haoran Xue , Y. D. Chong

The magnetic proximity effect is a fundamental feature of heterostructures composed of layers of topological insulators and magnetic materials since it underlies many potential applications in devices with novel quantum functionality.…

Materials Science · Physics 2013-11-25 S. V. Eremeev , V. N. Men'shov , V. V. Tugushev , P. M. Echenique , E. V. Chulkov

This paper concerns a boundary integral formulation for the two-dimensional massive Dirac equation. The mass term is assumed to jump across a one-dimensional interface, which models a transition between two insulating materials. This jump…

Mathematical Physics · Physics 2026-04-15 Guillaume Bal , Jeremy Hoskins , Solomon Quinn , Manas Rachh

We study a Dirac Harper model for moir\'e bilayer superlattices where layer antisymmetric strain periodically modulates the interlayer coupling between two honeycomb lattices in one spatial dimension. Discrete and continuum formulations of…

Mesoscale and Nanoscale Physics · Physics 2020-10-21 Abigail Timmel , E. J. Mele

We propose and theoretically and numerically investigate narrowband integrated filters consisting of identical resonant dielectric ridges on the surface of a single-mode dielectric slab waveguide. The proposed composite structures operate…

Optics · Physics 2019-07-10 Leonid L. Doskolovich , Evgeni A. Bezus , Dmitry A. Bykov

We study strongly correlated ground states of dipolar fermions in a honeycomb optical lattice with spatial variations in hopping amplitudes. Similar to a strained graphene, such nonuniform hopping amplitudes produce valley-dependent…

Quantum Gases · Physics 2016-11-02 Hiroyuki Fujita , Yuya O. Nakagawa , Yuto Ashida , Shunsuke Furukawa

We introduce traveling Floquet valley Hall edge solitons in a genuinely continuous system consisting of a waveguide array with a dynamically varying domain wall between two honeycomb structures exhibiting broken inversion symmetry.…

Optics · Physics 2024-07-16 Sergey K. Ivanov , Yaroslav V. Kartashov

Interface states in a 1-D photonic crystal heterostructure with multiple interfaces are examined. It is found that the behavior of the localized modes in the photonic band gaps is dependent on whether there is an even or odd number of…

Optics · Physics 2020-06-24 Nicholas J. Bianchi , Leonard M. Kahn

We investigate the effect of an in-plane AC electric field coupled to electrons in the honeycomb lattice and show that it can be used to manipulate the Dirac points of the electronic structure. We find that the position of the Dirac points…

Mesoscale and Nanoscale Physics · Physics 2014-01-30 Pierre Delplace , Álvaro Gómez-León , Gloria Platero

Dirac semimetals, the materials featured with discrete linearly crossing points (called Dirac points) between four bands, are critical states of topologically distinct phases. Such gapless topological states have been accomplished by a…

Materials Science · Physics 2020-01-20 Xiangxi Cai , Liping Ye , Chunyin Qiu , Meng Xiao , Rui Yu , Manzhu Ke , Zhengyou Liu

Topological photonic systems represent a new class of optical materials supporting boundary modes with unique properties, not found in conventional photonics. While the early research on topological photonics has focused on edge and surface…

We reexamine the existence and stability conditions of Dirac points between valence and conduction bands of 3/4 filled $\alpha$-(BEDT-TTF)$_2$I$_3$ conducting plane. We consider the usual nearest neigbhor tight binding model with the seven…

Mesoscale and Nanoscale Physics · Physics 2013-03-13 Frédéric Piéchon , Yoshikazu Suzumura , Takao Morinari

The 'double Dirac cone' 2D topological interface states found on the (001) faces of topological crystalline insulators such as Pb$_{1-x}$Sn$_{x}$Se feature degeneracies located away from time reversal invariant momenta, and are a…

We extend the theory of topological localised interface modes to systems with damping. The spectral problem is formulated as a root-finding problem for the interface impedance function and Rouch\'e's theorem is used to track the zeros when…

Analysis of PDEs · Mathematics 2024-10-18 Konstantinos Alexopoulos , Bryn Davies , Erik Orvehed Hiltunen

We clarify theoretically that the topological ring-cavity (TRC) modes propagating along the interface between two honeycomb-type photonic crystals distinct in topology can be exploited for achieving stable single-mode lasing, with the…

Optics · Physics 2021-06-16 Xiao-Chen Sun , Xiao Hu
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