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We show how to generalize the concepts of identifying and classifying symmetry protected topological phases in 1D to the case of an arbitrary mixed state. The pure state concepts are reviewed using a concrete spin-1 model. For the mixed…

Strongly Correlated Electrons · Physics 2014-09-15 Evert P. L. van Nieuwenburg , Sebastian D. Huber

Rich topological phenomena, edge states and two types of corner states, are unveiled in a two-dimensional square-lattice dielectric photonic crystal without both $C_4$ and $M_{x(y)}$ symmetries. Specifically, non-trivial type-I corner…

Optics · Physics 2022-06-28 Langlang Xiong , Yufu Liu , Yu Zhang , Yaoxian Zheng , Xunya Jiang

We show that band topology can dramatically change the photophysics of two-dimensional (2D) semiconductors. For systems in which states near the band extrema are of multiple orbitals character and the spinors describing the orbital…

Mesoscale and Nanoscale Physics · Physics 2018-02-28 Ting Cao , Meng Wu , Steven G. Louie

We report on transport measurements of dual-gated, single-layer graphene devices in the quantum Hall regime, allowing for independent control of the filling factors in adjoining regions. Progress in device quality allows us to study…

Mesoscale and Nanoscale Physics · Physics 2014-05-15 F. Amet , J. R. Wiliams , K. Watanabe , T. Taniguchi , D. Goldhaber-Gordon

The recent synthesis of two-dimensional staggered materials opens up burgeoning opportunities to study optical spin-orbit interactions in semiconducting Dirac-like systems. We unveil topological phase transitions in the photonic spin Hall…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 W. J. M. Kort-Kamp

Electronic tunability in crystals with weakly-bound layers can be achieved through layer stacking order. One such example is MoTe$_2$, where the low-temperature orthorhombic T$_d$ phase is topological and host to Weyl quasiparticles. The…

Materials Science · Physics 2019-04-17 John A. Schneeloch , Chunruo Duan , Xiaoping Wang , Jun Liu , Junjie Yang , Despina Louca

We experimentally demonstrate topological slow light waveguides in valley photonic crystals (VPhCs). We employed a bearded interface formed between two topologically-distinct VPhCs patterned in an air-bridged silicon slab. The interface…

In this paper, the photonic quantum spin Hall effect (PQSHE) is realized in dielectric two-dimensional (2D) honeycomb lattice photonic crystal (PC) by stretching and shrinking the honeycomb unit cell. Combining two honeycomb lattice PCs…

Optics · Physics 2021-02-26 Yuchen Peng , Bei Yan , Jianlan Xie , Exian Liu , Hang Li , Rui Ge , Feng Gao , Jianjun Liu

Protection of topological surface states by reflection symmetry breaks down when the boundary of the sample is misaligned with one of the high symmetry planes of the crystal. We demonstrate that this limitation is removed in amorphous…

Mesoscale and Nanoscale Physics · Physics 2021-08-10 Helene Spring , Anton R. Akhmerov , Daniel Varjas

A simple core-shell two-dimensional photonic crystal is studied where the triangle lattice symmetry and $C_{6v}$ rotation symmetry leads to rich physics in the study of accidental degeneracy's in photonic bands. We systematically evaluate…

Materials Science · Physics 2016-08-24 Lin Xu , HaiXiao Wang , YaDong Xu , HuanYang Chen , Jian-Hua Jiang

The introduction of topological concepts to the design of photonic crystal cavities holds great promise for applications in integrated photonics due to the prospect of topological protection. This study examines the signatures of…

Recently, the study of topological structures in photonics has garnered significant interest, as these systems can realize robust, non-reciprocal chiral edge states and cavity-like confined states that have applications in both linear and…

Optics · Physics 2023-11-30 Alexander Cerjan , Terry A. Loring

Rapid development of topological concepts in photonics unveils exotic phenomena such as unidirectional propagation of electromagnetic waves resilient to backscattering at sharp bends and disorder-immune localization of light at stable…

Recent developments in photonic topological phases have revealed that protected edge modes can emerge not only from global topological invariants, but also from symmetry-enforced polarization mismatches between distinct bulk phases. In this…

Optics · Physics 2025-07-14 Ondřej Novák , Martin Veis , Gervasi Herranz

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…

The topology of a topological material can be encoded in its surface states. These surface states can only be removed by a bulk topological quantum phase transition into a trivial phase. Here we use photoemission spectroscopy to image the…

We propose an efficient scheme for simulating the topological phases of matter based on silicon-vacancy (SiV) center arrays in phononic crystals. This phononic band gap structure allows for long-range spin-spin interactions with a tunable…

Quantum Physics · Physics 2020-02-12 Xiao-Xiao Li , Bo Li , Peng-Bo Li

Here, the frequency degree of freedom is introduced into valley photonic crystals with dual band gaps. Based on the high-order plane wave expansion model, we derive an effective Hamiltonian which characterizes dual band gaps. Metallic…

Topological photonic insulators show promise for applications in compact integrated photonic circuits due to their ability to transport light robustly through sharp bendings. The number of topological edge states relies on the difference…

Applied Physics · Physics 2024-01-19 Weiyuan Tang , Mudi Wang , Shaojie Ma , C. T. Chan , Shuang Zhang

Recently, there has been a drive towards the realization of topological phases beyond conventional electronic materials, including phases defined in more than three dimensions. We propose a versatile and experimentally realistic approach of…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 Xiao Zhang , Youjian Chen , Yuzhu Wang , Jun Yu Lin , Nai Chao Hu , Bochen Guan , Ching Hua Lee