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We study surface states of topological crystalline insulators and superconductors protected by inversion symmetry. These fall into the category of "higher-order" topological insulators and superconductors which possess surface states that…

介观与纳米尺度物理 · 物理学 2018-05-30 Eslam Khalaf

That disorder can induce nontrivial topology is a surprising discovery in topological physics. As a typical example, Chern topological Anderson insulators (TAIs) have been realized in photonic systems, where the topological phases exist…

光学 · 物理学 2022-08-03 Xiaohan Cui , Ruo-Yang Zhang , Zhao-Qing Zhang , C. T. Chan

It was recently discovered that atoms subject to a time-periodic drive can give rise to a crystal structure in phase space. In this work, we point out the atom-atom interactions give rise to collective phonon excitations of phase-space…

量子气体 · 物理学 2022-03-08 Lingzhen Guo , Vittorio Peano , Florian Marquardt

The spin-momentum locked nature of the robust surface states of three dimensional topological insulators (3D TI) make them promising candidates for spintronics applications. Surface potentials which respect time reversal symmetry can exist…

介观与纳米尺度物理 · 物理学 2016-02-18 Sthitadhi Roy , Sourin Das

Time photonic crystals are media in which their electromagnetic parameters are modulated periodically in time, showing promising applications in non-resonant lasers and particle accelerators, among others. Traditionally utilized to study…

Topological states of matter are particularly robust, since they exploit global features insensitive to local perturbations. In this work, we describe how to create a Chern insulator of phonons in the solid state. The proposed…

介观与纳米尺度物理 · 物理学 2015-08-31 V. Peano , C. Brendel , M. Schmidt , F. Marquardt

Topological photonic states, inspired by robust chiral edge states in topological insulators, have recently been demonstrated in a few photonic systems, including an array of coupled on-chip ring resonators at communication wavelengths.…

The surfaces of three dimensional topological insulators (3D TIs) are generally described as Dirac metals, with a single Dirac cone. It was previously believed that a gapped surface implied breaking of either time reversal $\mathcal T$ or…

强关联电子 · 物理学 2014-04-28 Xie Chen , Lukasz Fidkowski , Ashvin Vishwanath

We introduce a second-quantized field theory for Chern insulators in which the Hamiltonian features a static vector potential that has the periodicity of the crystal's lattice and spontaneously breaks time-reversal symmetry in the system's…

介观与纳米尺度物理 · 物理学 2026-01-30 Jason G. Kattan , J. E. Sipe

We propose a simple method to simulate and detect topological insulators with cold atoms trapped in a one-dimensional bichromatic optical lattice subjected to a time-periodic modulation. The tight-binding form of this shaken system is…

量子气体 · 物理学 2019-02-25 Feng Mei , Jia-Bin You , Dan-Wei Zhang , X. C. Yang , R. Fazio , Shi-Liang Zhu , L. C. Kwek

We propose a route towards creating a metamaterial that behaves as a photonic Chern insulator, through homogenization of an array of gyromagnetic cylinders. We show that such an array can exhibit non-trivial topological effects, including…

光学 · 物理学 2017-10-04 Meng Xiao , Shanhui Fan

Three-dimensional topological insulators (TIs) are a perfectly tuned quantum-mechanical machinery in which counter-propagating and oppositely spin-polarized conduction channels balance each other on the surface of the material. This…

介观与纳米尺度物理 · 物理学 2021-05-04 A. I. Figueroa , T. Hesjedal , N. -J. Steinke

We study second-order topological insulators and semimetals characterized by chiral symmetry. We investigate topological phase transitions of a model for construction of the two-dimensional second-order topological insulators protected only…

介观与纳米尺度物理 · 物理学 2019-12-06 Ryo Okugawa , Shin Hayashi , Takeshi Nakanishi

We present an all-dielectric photonic crystal structure that supports two-dimensionally confined helical topological edge states. The topological properties of the system are controlled by the crystal parameters. An interface between two…

Conventional Chern insulators are two-dimensional periodic structures that support unidirectional edge states at the boundary, while the wave propagation in the bulk regions is forbidden. The number of unidirectional edge states is governed…

光学 · 物理学 2024-11-22 João C. Serra , Mário G. Silveirinha

Hexagonally patterned two-dimensional $p$-type semiconductor systems are quantum simulators of graphene with strong and highly tunable spin-orbit interactions. We show that application of purely in-plane magnetic fields, in combination with…

介观与纳米尺度物理 · 物理学 2016-11-23 Tommy Li , Oleg P. Sushkov

Photonic crystals (PhCs) have emerged as a popular platform for realizing various topological phases due to their flexibility and potential for device applications. In this article, we present a comprehensive classification of topological…

介观与纳米尺度物理 · 物理学 2023-08-22 Sachin Vaidya , Ali Ghorashi , Thomas Christensen , Mikael C. Rechtsman , Wladimir A. Benalcazar

We study photonic crystal fibers and ring resonators with topological features induced by Aubry- Andre-Harper modulations of the cladding. We find non trivial gaps and edge states at the interface between regions with different Chern…

光学 · 物理学 2020-04-22 Laura Pilozzi , Daniel Leykam , Zhigang Chen , Claudio Conti

Topological photonic crystals have received considerable attention for their ability to manipulate and guide light in unique ways. They are typically designed by hand based on careful analysis of their bands and mode profiles, but recent…

光学 · 物理学 2022-12-01 Samuel Kim , Thomas Christensen , Steven G. Johnson , Marin Soljačić

Motivated by the outstanding challenge of realizing low-temperature states of quantum matter in synthetic materials, we propose and study an experimentally feasible protocol for preparing topological states such as Chern insulators. By…

量子气体 · 物理学 2020-01-20 S. Barbarino , J. Yu , P. Zoller , J. C. Budich