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We propose a feasible experimental scheme to realize a three-dimensional chiral topological insulator with cold fermionic atoms in an optical lattice, which is characterized by an integer topological invariant distinct from the conventional…

Strongly Correlated Electrons · Physics 2014-07-18 Sheng-Tao Wang , Dong-Ling Deng , Lu-Ming Duan

The recent advent of photonic topological insulators has opened the door to using the robustness of topologically protected transport (originated in the domain of condensed matter physics) in optical devices and in quantum simulation.…

Fractional topological insulators are electronic systems that carry fractionally charged excitations, conserve charge and are symmetric to reversal of time. In this review we introduce the basic essential concepts of the field, and then…

Strongly Correlated Electrons · Physics 2016-04-20 Ady Stern

The notion of topological phases extended to dynamical systems stimulates extensive studies, of which the characterization of non-equilibrium topological invariants is a central issue and usually necessitates the information of quantum…

Quantum Physics · Physics 2021-10-11 Danying Yu , Bo Peng , Xianfeng Chen , Xiong-Jun Liu , Luqi Yuan

Topological photonics enables robust light manipulation with third-order optical nonlinearity, yet integrating second-order optical nonlinearity into a topological system faces fundamental challenges: frequency-dependent topological…

Optics · Physics 2025-06-30 Ruoyu Wang , Yiming Pan , Xiaoqin Shen

This article reviews experimental work on the ultrafast electron dynamics in the topological surface state (TSS) of three-dimensional (3D) topological insulators (TIs) observed with time- and angle-resolved two-photon photoemission (2PPE).…

Mesoscale and Nanoscale Physics · Physics 2021-02-03 Jens Güdde , Ulrich Höfer

Quantized responses are important tools for understanding and characterizing the universal features of topological phases of matter. In this work, we consider a class of topological crystalline insulators in $3$D with $C_n$ lattice rotation…

Strongly Correlated Electrons · Physics 2023-06-07 Julian May-Mann , Mark R. Hirsbrunner , Xuchen Cao , Taylor L. Hughes

The recent discovery of topological insulators with exotic metallic surface states has garnered great interest in the fields of condensed matter physics and materials science. A number of spectacular quantum phenomena have been predicted…

Materials Science · Physics 2011-01-07 Wanxiang Feng , Jun Ding , Di Xiao , Yugui Yao

Axial vectors, such as current or magnetization, are commonly used order parameters in time-reversal symmetry breaking systems. These vectors also break isotropy in three dimensional systems, lowering the spatial symmetry. We demonstrate…

Mesoscale and Nanoscale Physics · Physics 2026-02-25 Helene Spring , Anton R. Akhmerov , Daniel Varjas

Topological Insulator-based devices can transport electrons/photons at the surfaces of materials without any back reflections, even in the presence of obstacles. Topological properties have recently been studied using non-reciprocal…

Optics · Physics 2016-11-03 Babak Bahari , Ricardo Tellez-Limon , Boubacar Kanté

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…

The recent emerging field of synthetic dimension in photonics offers a variety of opportunities for manipulating different internal degrees of freedom of photons such as the spectrum of light. While nonlinear optical effects can be…

Optics · Physics 2020-09-01 Luqi Yuan , Avik Dutt , Mingpu Qin , Shanhui Fan , Xianfeng Chen

The concepts of topology have a profound impact on physics research spanning the fields of condensed matter, photonics and acoustics and predicting topological states that provide unprecedented versatility in routing and control of waves of…

Chiral edge state is a hallmark of topological physics, which has drawn significant attention across quantum mechanics, condensed matter and optical systems. Recently, synthetic dimensions have emerged as ideal platforms for investigating…

Studies of moire systems have elucidated the exquisite effect of quantum geometry on the electronic bands and their properties, leading to the discovery of new correlated phases. However, most experimental studies have been confined to a…

Mesoscale and Nanoscale Physics · Physics 2023-12-19 Zhurun Ji , Yuzhou Zhao , Yicong Chen , Ziyan Zhu , Yuhui Wang , Wenjing Liu , Gaurav Modi , Eugene J. Mele , Song Jin , Ritesh Agarwal

Topological defects with symmetry-breaking phase transitions have captured much attention. Vortex generated by topological defects exhibits exotic properties and its flow direction can be switched by altering the spin configurations.…

Classical Physics · Physics 2018-07-18 Jiujiu Chen , Hongbo Huang , Shaoyong Huo , Zhuhua Tan , Xiaoping Xie , Jianchun Cheng

Unidirectional photonic edge states arise at the interface between two topologically-distinct photonic crystals. Here, we demonstrate a micron-scale GaAs photonic ring resonator, created using a spin Hall-type topological photonic crystal…

We generalize the concept of photonic gauge potential in real space, by introducing an additional "synthetic" frequency dimension in addition to the real space dimensions. As an illustration we consider a one-dimensional array of ring…

Optics · Physics 2016-02-04 Luqi Yuan , Yu Shi , Shanhui Fan

The transport properties of the surface charge carriers of a three dimensional topological insulator under a terahertz (THz) field along with a resonant double barrier structure is theoretically analyzed within the framework of Floquet…

Mesoscale and Nanoscale Physics · Physics 2019-09-13 Puja Mondal , Sankalpa Ghosh , Manish Sharma

Topological photonics is a rapidly emerging field of research in which geometrical and topological ideas are exploited to design and control the behavior of light. Drawing inspiration from the discovery of the quantum Hall effects and…