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Dirac-like band crossings are paradigms in condensed matter systems to emulate high-energy physics phenomena. They are associated with two aspects: gap and tilting. The ability to design sign-changing gap gives rise to band topology,…

Mesoscale and Nanoscale Physics · Physics 2025-01-22 Amir Youssefi , Ahmad Motavassal , Shingo Kono , Seyed Akbar Jafari , Tobias J. Kippenberg

Topological lasers are of growing interest as a way to achieve disorder-robust single mode lasing using arrays of coupled resonators. We study lasing in a two-dimensional coupled resonator lattice exhibiting transitions between trivial and…

Optics · Physics 2020-07-07 Sinan Gundogdu , Juzar Thingna , Daniel Leykam

Owing to their chiral cubic structure, exotic multifold topological excitations have been predicted and recently observed in transition metal silicides like $\beta$-RhSi. Herein, we report that the topological character of RhSi is also…

Particle-hole symmetry of the Bogoliubov-de~Gennes Hamiltonian is widely assumed to enforce bias-symmetric transport at superconducting interfaces. We show that this expectation fails generically for interfaces with finite spatial extent…

Superconductivity · Physics 2026-03-17 Vishal Tripathi , Goutam Sheet

A single Dirac cone on the surface is the hallmark of three-dimensional (3D) topological insulators, where the double degeneracy at the Dirac point is protected by time-reversal symmetry and the spin-splitting away from the point is…

Mesoscale and Nanoscale Physics · Physics 2016-01-05 Ling Lu , Chen Fang , Liang Fu , Steven G. Johnson , John D. Joannopoulos , Marin Soljačić

Conventionally, symmetry-protected topological phases and band crossings are protected by global symmetries acting on the entire system. Here, we show that symmetries preserved only on a partial region of a system, termed local support…

Strongly Correlated Electrons · Physics 2026-01-27 Jun-Won Rhim , Jaeuk Seo , Seongjun Mo , Hoonkyung Lee , Sejoong Kim , B. Andrei Bernevig

The spin-dependence of the interface resistance between ferromagnetic Fe and InAs is calculated from first-principles for specular and disordered (001) interfaces. Because of the symmetry mismatch in the minority-spin channel, the specular…

Materials Science · Physics 2009-11-07 M. Zwierzycki , K. Xia , P. J. Kelly , G. E. W. Bauer , I. Turek

We show that 2D gapped many-body quantum states are constrained by an infinite-dimensional symmetry which renders them transparent to weak disorder. This prevents disorder-induced localization when interactions are strong enough to open a…

Superconductivity · Physics 2025-06-03 Carlo A. Trugenberger

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

In this work we investigate novel spherical core-shell nanoparticles with band inversion. The core and the embedding medium are normal semiconductors while the shell material is assumed to be a topological insulator. The envelope functions…

Mesoscale and Nanoscale Physics · Physics 2021-11-24 Carolina Martínez-Strasser , Yuriko Baba , Álvaro Díaz-Fernández , Francisco Domínguez-Adame

In this work, we investigate a two dimensional honeycomb photonic crystal (2D HPC) with C_6 symmetry point group, which is known to demonstrate a double Dirac cone at k=0 of the Brillion zone. Then we design two deformed PCs from the…

Applied Physics · Physics 2020-02-28 J. Hajivandi , H. Kurt

Symmetry plays a key role in materials hosting Dirac electrons and underpins our ability to completely flatten the Dirac cone through the tuning of physical parameters such as twisting in van der Waals heterostructures. The emergent…

Mesoscale and Nanoscale Physics · Physics 2025-02-06 David T. S. Perkins

We theoretically propose a design for two-dimensional Dirac semimetals using a bilayer-modified Bernevig-Hughes-Zhang (BHZ) model. By introducing new sites into the BHZ model, we engineer flat bands at the Fermi energy. In the bilayer…

Mesoscale and Nanoscale Physics · Physics 2025-09-08 Lizhou Liu , Cheng-Ming Miao , Qing-Feng Sun , Ying-Tao Zhang

We examine the conditions for appearance of symmetry breaking bifurcation in damped and periodically driven pendulum in the case of strong damping. We show that symmetry breaking, unlike other nonlinear phenomena, can exist at high…

Statistical Mechanics · Physics 2009-11-10 J. Isohätälä , K. N. Alekseev , L. T. Kurki , P. Pietiläinen

Dirac semimetals, with their protected Dirac points, present an ideal platform for realizing intrinsic topological superconductivity. In this work, we investigate superconductivity in a two-dimensional, square-lattice nonsymmorphic Dirac…

Superconductivity · Physics 2025-12-03 Xiao-Jiao Wang , Yijie Mo , Zhi Wang , Zhigang Wu , Zhongbo Yan

Superconductivity of a single two-dimensional Dirac fermion offers a natural route to topological superconductivity. While usually considered extrinsic -- arising from proximity to a conventional superconductor -- we investigate when a…

Superconductivity · Physics 2026-04-09 Omid Tavakol , Thomas Scaffidi

The double-well problem for the two-dimensional Dirac equation is solved for a family of quasi-one-dimensional potentials in terms of confluent Heun functions. We demonstrate that for a double well separated by a barrier, both the energy…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 R. R. Hartmann , M. E. Portnoi

Because phononic topological insulators have primarily been studied in discrete, graphene-like structures with C$_{6}$ or C$_{3}$ hexagonal symmetry, an open question is how to systematically achieve double Dirac cones and topologically…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Yan Lu , Harold S. Park

The Dirac point with a double-cone structure for optical fields, an optical analogy Dirac fermions in graphene, can be realized in optically homogenous metamaterials. The condition for the realization of Dirac point in optical systems is…

Optics · Physics 2015-05-13 Li-Gang Wang , Zhi-Guo Wang , Shi-Yao Zhu

We investigate the diffraction of guided modes of a dielectric slab waveguide on a simple integrated structure consisting of a single dielectric ridge on the surface of the waveguide. Numerical simulations based on aperiodic rigorous…

Optics · Physics 2018-11-05 Evgeni A. Bezus , Dmitry A. Bykov , Leonid L. Doskolovich
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