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A topological pump enables robust transport of quantized particles when the system parameters are varied in a cyclic process. In previous studies, topological pump was achieved inhomogeneous systems guaranteed by a topological invariant of…

Mesoscale and Nanoscale Physics · Physics 2021-04-08 Bi-Ye Xie , Oubo You , Shuang Zhang

Systems with dipole moment conservation have been of recent interest, as they realize both novel quantum dynamics and exotic ground state phases. In this work, we study some generic properties of 1-D and 2-D dipole-conserving fermionic…

Strongly Correlated Electrons · Physics 2024-03-29 Amogh Anakru , Zhen Bi

We here introduce the concept of fragile topological dislocation modes, which are localized only in a fraction of a topological phase, while otherwise leak into the bulk continuum. We show that such dislocation modes are hosted in an…

Mesoscale and Nanoscale Physics · Physics 2024-12-10 Gabriel Malavé , Jorge Schifferli , Rodrigo Soto-Garrido , Pedro A. Orellana , Vladimir Juričić

Topological phase transitions, which have fascinated generations of physicists, are always demarcated by gap closures. In this work, we propose very simple 2D photonic crystal lattices with gap closure points, i.e. band degeneracies…

Mesoscale and Nanoscale Physics · Physics 2017-09-06 Jun Yu Lin , Nai Chao Hu , You Jian Chen , Ching Hua Lee , Xiao Zhang

The method of the space dependent basis is applied to study electronic spinors in a crystal. The crystal in the momentum space is described by the Brillouine zone which might contains obstructions or degeneracies for which requires…

Mesoscale and Nanoscale Physics · Physics 2015-08-04 D. Schmeltzer

Inspired by recent advances in the manipulation of atoms trapped near 1D waveguides and pro- posals to use surface acoustic waves on piezoelectric substrates for the same purpose, we show the potential of two-dimensional platforms. We…

Quantum Physics · Physics 2018-07-04 F. Galve , R. Zambrini

The Valley Hall effect provides a popular route to engineer robust waveguides for bosonic excitations such a photons and phonons. The almost complete absence of backscattering in many experiments has its theoretical underpinning in a…

Mesoscale and Nanoscale Physics · Physics 2023-08-17 Tirth Shah , Florian Marquardt , Vittorio Peano

The goal of this paper is to advance the development of wave-guiding subwavelength crystals by developing designs whose properties are stable with respect to imperfections in their construction. In particular, we make use of a locally…

Analysis of PDEs · Mathematics 2021-01-07 Habib Ammari , Bryn Davies , Erik Orvehed Hiltunen , Sanghyeon Yu

We investigate the topological phase derived by time-reversal breaking fields in a nonsymmorphic symmetry-protected two-dimensional Dirac semimetal. When the nonsymmorphic symmetry is preserved even in the presence of the field, the…

Mesoscale and Nanoscale Physics · Physics 2017-08-22 Tetsuro Habe

We investigate symmetry-protected topological water waves within a strategically engineered square lattice system. Thus far, symmetry-protected topological modes in hexagonal systems have primarily been studied in electromagnetism and…

The topological valley Hall effect was predicted as a consequence of the bulk topology of electronic systems. Now it has been observed in photonic crystals, showing that both topology and valley are innate to classical as well as quantum…

Mesoscale and Nanoscale Physics · Physics 2018-04-17 Fan Zhang

The study of band topology in photonic crystals was primarily focused on near-field effects, including edge states and high order corner states. However, this work investigated the polarization distribution of radiated fields for photonic…

Optics · Physics 2024-08-27 Zhang Jiawei , Liu Andong , Wang Jin , Dong Zheng-Gao

Topological acoustic and elastic waves have recently emerged as an exciting interdisciplinary field which is still mainly focused on low-dimensional structures and model systems. Here we demonstrate numerically an elastic-wave analogue of…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 Zhan Xiong , Hai-Xiao Wang , Jinjie Shi , Jie Luo , Yun Lai , Ming-Hui Lu , Jian-Hua Jiang

We experimentally demonstrate topological edge states arising from the valley-Hall effect in twodimensional honeycomb photonic lattices with broken inversion symmetry. We break inversion symmetry by detuning the refractive indices of the…

Optics · Physics 2018-02-12 Jiho Noh , Sheng Huang , Kevin Chen , Mikael C. Rechtsman

We propose a new design on integrated optical devices on-chip with an extra width degree of freedom by using a photonic crystal waveguide with Dirac points between two photonic crystals with opposite valley Chern numbers. With such an extra…

Optics · Physics 2023-09-19 Sai Yan , Jingnan Yang , Shushu Shi , Zhanchun Zuo , Can Wang , Xiulai Xu

Topology is a powerful tool for categorizing magnetization textures by defining a topological index in both two-dimensional (2D) systems, such as thin films or curved surfaces, and in 3D bulk systems. In the emerging field of 3D…

Photonic crystal topological insulators host protected states at their edges. In the band structure these edge states appear as continuous bands crossing the photonic band gap. They allow light to propagate unidirectionally and without…

Optics · Physics 2017-08-02 Gleb Siroki , Paloma Arroyo Huidobro , Vincenzo Giannini

Three dimensional topological insulator crystals consist of an insulating bulk enclosed by metallic surfaces, and detailed theoretical predictions about the surface state band topology and spin texture are available. While several…

We point out that electromagnetic one-way edge modes analogous to quantum Hall edge states, originally predicted by Raghu and Haldane in 2D gyroelectric photonic crystals possessing Dirac point-derived bandgaps, can appear in more general…

Optics · Physics 2008-01-10 Zheng Wang , Y. D. Chong , John D. Joannopoulos , Marin Soljacic

We analyze the propagation of two-dimensional dispersive and relativistic wavepackets localized in the vicinity of the zero level set $\Gamma$ of a domain wall. The main applications we consider are a topologically non-trivial Dirac model…

Analysis of PDEs · Mathematics 2023-12-07 Guillaume Bal
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