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A lattice of optical ring resonators can exhibit a topological insulator phase, with the role of spin played by the direction of propagation of light within each ring. Unlike the system studied by Hafezi et al., topological protection is…

Optics · Physics 2013-06-05 G. Q. Liang , Y. D. Chong

We experimentally realize a photonic analogue of the anomalous quantum Hall insulator using a two-dimensional (2D) array of coupled ring resonators. Similar to the Haldane model, our 2D array is translation invariant, has zero net gauge…

Topological insulators in three dimensions are studied as a problem of supersymmetric quantum mechanics. The spin-orbit coupling is induced as a consequence of the supersymmetrization procedure and we show that it is equivalent to the…

High Energy Physics - Theory · Physics 2022-04-13 J. Gamboa , F. Mendez

We propose and analyse an efficient scheme for simulating higher-order topological phases of matter in two dimensional (2D) spin-phononic crystal networks. We show that, through a specially designed periodic driving, one can selectively…

Quantum Physics · Physics 2021-01-20 Xiao-Xiao Li , Peng-Bo Li

We develop a lattice model which exhibits topological transitions from $Z_2$ topological insulators to mirror symmetry-protected topological crystalline insulators by introducing additional spin-orbit coupling terms. The topological phase…

Quantum Gases · Physics 2025-05-29 Jing-Xin Liu , Jian-Te Wang , Shi-Liang Zhu

Topological insulators feature a number of topologically protected boundary modes linked to the value of their bulk invariant. While in one-dimensional systems the boundary modes are zero dimensional and localized, in two-dimensional…

Quantum Physics · Physics 2023-08-21 Carlos Vega , Diego Porras , Alejandro González-Tudela

Topological insulators are new class of materials which are characterized by a bulk band gap like ordinary band insulator but have protected conducting states on their edge or surface. These states emerge out due to the combination of…

Mesoscale and Nanoscale Physics · Physics 2017-08-18 Arijit Saha , Arun M. Jayannavar

Topological insulators are materials with a bulk excitation gap generated by the spin orbit interaction, and which are different from conventional insulators. This distinction is characterized by Z_2 topological invariants, which…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Liang Fu , C. L. Kane

Discovery of novel topological orders of condensed matters is of a significant interest in both fundamental and applied physics due to the associated quantum conductance behaviors and unique symmetry-protected backscattering-immune…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Cheng He , Xu Ni , Hao Ge , Xiao-Chen Sun , Yan-Bin Chen , Ming-Hui Lu , Xiao-Ping Liu , Liang Feng , Yan-Feng Chen

Interfaces between normal and topological insulators are bound to host metallic states that are protected by time-reversal symmetry and are therefore robust against disorder and interface reconstruction. Two-dimensional topological…

Materials Science · Physics 2019-08-30 Thomas Olsen

We employ quantum Monte Carlo techniques to calculate the $Z_2$ topological invariant in a two-dimensional model of interacting electrons that exhibits a quantum spin Hall topological insulator phase. In particular, we consider the parity…

Strongly Correlated Electrons · Physics 2013-05-02 Thomas C. Lang , Andrew M. Essin , Victor Gurarie , Stefan Wessel

Motivated by the topologically insulating (TI) circuit of capacitors and inductors proposed and tested in arXiv:1309.0878, we present a related circuit with less elements per site. The normal mode frequency matrix of our circuit is…

Mesoscale and Nanoscale Physics · Physics 2015-05-05 Victor V. Albert , Leonid I. Glazman , Liang Jiang

Quantum spin-hall insulator (QSHI) processes nontrivial topology. We notice that the electronic structures of some particular QSHIs are favorable for realization of excitonic insulators (EIs). Using first-principles many-body perturbation…

Materials Science · Physics 2023-04-04 Huaiyuan Yang , Jiaxi Zeng , Yuelin Shao , Yuanfeng Xu , Xi Dai , Xin-Zheng Li

Quantum spin Hall insulators are a class of topological materials that has been extensively studied during the past decade. One of their distinctive features is the presence of a finite band gap in the bulk and gapless, topologically…

Mesoscale and Nanoscale Physics · Physics 2023-09-18 Davide Grassano , Davide Campi , Antimo Marrazzo , Nicola Marzari

Three-dimensional (3D) elastic phononic topological insulator, featuring two-dimensional (2D) surface states, which support the high-efficient and robust elastic wave propagation without backscattering in all spatial dimensions, remains a…

Quantum spin Hall insulators, or synonymously known as 2D topological insulators, are crucial 2D systems hosting topologically protected edge states. The working temperature of this topological quantum phase is dictated by the inverted…

Time-periodic perturbations can be used to engineer topological properties of matter by altering the Floquet band structure. This is demonstrated for a spin Hall insulator in the presence of monochromatic circularly polarized light. The…

Mesoscale and Nanoscale Physics · Physics 2012-02-02 Balázs Dóra , Jérôme Cayssol , Ferenc Simon , Roderich Moessner

A Kramers pair of helical edge states in quantum spin Hall effect (QSHE) is robust against normal dephasing but not robust to spin dephasing. In our work, we provide an effective spin dephasing mechanism in the puddles of two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2019-03-07 Junjie Qi , Haiwen Liu , Hua Jiang , X. C. Xie

Pseudo-spin and valley degrees of freedom (DOFs) engineered in photonic analogues of topological insulators (TI) provide potential approaches to optical encoding and robust signal transport. Here we observe a ballistic edge state whose…

Applied Physics · Physics 2018-12-18 Yuhao Kang , Xiaojun Cheng , Xiang Ni , Alexander B. Khanikaev , Azriel Z. Genack

Topological insulating states in two-dimensional (2D) materials are ideal systems to study different types of quantized response signals due to their in gap metallic states. Very recently, the quantum spin Hall (QSH) effect was discovered…

Mesoscale and Nanoscale Physics · Physics 2024-04-23 Junwen Lai , Xiangyang Liu , Jie Zhan , Tianye Yu , Peitao Liu , Xing-Qiu Chen , Yan Sun