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We experimentally realized Floquet topological photonic insulators using a square lattice of direct-coupled octagonal resonators. Unlike previously reported topological insulator systems based on microring lattices, the nontrivial…

Optics · Physics 2020-07-01 Shirin Afzal , Tyler J. Zimmerling , Yang Ren , David Perron , Vien Van

We study Floquet topological phases in periodically driven systems that are protected by "time glide symmetry", a combination of reflection and half time period translation. Time glide symmetry is an analog of glide symmetry with partial…

Strongly Correlated Electrons · Physics 2017-05-30 Takahiro Morimoto , Hoi Chun Po , Ashvin Vishwanath

We explore the bulk-edge correspondence for topological insulators (superconductors) without time-reversal symmetry from the point of view of the index theorem for open spaces. We assume generic Hamiltonians not only with a linear…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 T. Fukui , K. Shiozaki , T. Fujiwara , S. Fujimoto

The recent discoveries of higher-order topological insulators (HOTIs) have shifted the paradigm of topological materials, which was previously limited to topological states at boundaries of materials, to those at boundaries of boundaries,…

Mesoscale and Nanoscale Physics · Physics 2020-12-17 Weiwei Zhu , Haoran Xue , Jiangbin Gong , Yidong Chong , Baile Zhang

Quench dynamics of topological phases have been studied in the past few years and dynamical topological invariants are formulated in different ways. Yet most of these invariants are limited to minimal systems in which Hamiltonians are…

Mesoscale and Nanoscale Physics · Physics 2026-05-04 Xi Wu , Ze Yang , Fuxiang Li

We study bulk-boundary correspondences and related surface phenomena stabilized by the second Chern number in three-dimensional insulators driven in adiabatic cycles. Magnetic fields and disorder effects are incorporated in our analysis…

Strongly Correlated Electrons · Physics 2020-05-07 Bryan Leung , Emil Prodan

We propose a two-dimensional non-Hermitian Chern insulator with inversion symmetry, which is anisotropic and has staggered gain and loss in both x and y directions. In this system, conventional bulk-boundary correspondence holds. The Chern…

Mesoscale and Nanoscale Physics · Physics 2019-10-11 H. C. Wu , L. Jin , Z. Song

We propose a Chern insulator in a two-dimensional electron system with Dresselhaus spin-orbit coupling, ferromagnetism, and spin-dependent effective mass. The analytically-obtained topological phase diagrams show the topological phase…

Mesoscale and Nanoscale Physics · Physics 2019-10-10 Rui-An Chang , Ching-Ray Chang

We present a model for a Chern insulator on the square lattice with complex first and second neighbor hoppings and a sublattice potential which displays an unexpectedly rich physics. Similarly to the celebrated Haldane model, the proposed…

Mesoscale and Nanoscale Physics · Physics 2025-02-19 Miguel Gonçalves , Pedro Ribeiro , Eduardo V. Castro

A concrete strategy is presented for generating strong topological insulators in $d+d'$ dimensions which have quantized physics in $d$ dimensions. Here, $d$ counts the physical and $d'$ the virtual dimensions. It consists of seeking…

Strongly Correlated Electrons · Physics 2015-07-14 Emil Prodan

We consider the visco-elastic response of the electronic degrees of freedom in 2D and 3D topological insulators (TI). Our primary focus is on the 2D Chern insulator which exhibits a bulk dissipationless viscosity analogous to the quantum…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Taylor L. Hughes , Robert G. Leigh , Eduardo Fradkin

Novel topological properties that arose in the periodically driven system are unique, in which there are two kinds of quasienergy gaps, the zero quasienergy gap and the $\pi$ quasienergy gap. The corresponding edge modes would traverse…

Mesoscale and Nanoscale Physics · Physics 2023-11-08 Fei Yang , Zheng Wei , TianMeng Li , Su-Peng Kou

We theoretically investigate possible photoinduced topological phase transitions in the organic salt $\alpha$-(BEDT-TTF)$_2$I$_3$, which possesses a pair of inclined massless Dirac-cone bands between the conduction and valence bands under…

Strongly Correlated Electrons · Physics 2021-09-21 Keisuke Kitayama , Yasuhiro Tanaka , Masao Ogata , Masahito Mochizuki

We discuss the proximate phases of a three-dimensional system with Dirac-like dispersion. Using the cubic lattice with plaquette $\pi$-flux as a model, we find, among others phases, a chiral topological insulator and singlet topological…

Materials Science · Physics 2010-03-11 Pavan Hosur , Shinsei Ryu , Ashvin Vishwanath

Magic-angle twisted bilayer graphene is the best studied physical platform featuring moire potential induced narrow bands with non-trivial topology and strong electronic correlations. Despite their significance, the Chern insulating states…

Mesoscale and Nanoscale Physics · Physics 2024-06-11 Xiaoyu Wang , Oskar Vafek

We investigate the topological phase transition with large Chern number in a coupled layer system. The topological transitions between different topological superfluids can be realized by controlling the binding energy, interlay tunneling…

Quantum Gases · Physics 2015-04-29 Beibing Huang , Jeffrey Chun Fai Chan , Ming Gong

Results are presented for the entanglement entropy and spectrum of half-filled graphene following the switch on of a circularly polarized laser. The laser parameters are chosen to correspond to several different Floquet Chern insulator…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Daniel J. Yates , Yonah Lemonik , Aditi Mitra

Interactions among electrons and the topology of their energy bands can create novel quantum phases of matter. Most topological electronic phases appear in systems with weak electron-electron interactions. The instances where topological…

Mesoscale and Nanoscale Physics · Physics 2020-12-25 Kevin P. Nuckolls , Myungchul Oh , Dillon Wong , Biao Lian , Kenji Watanabe , Takashi Taniguchi , B. Andrei Bernevig , Ali Yazdani

Recently, Chern vector with arbitrary formula $\textbf{C}\!=\!(\mathcal{C}_{yz},\mathcal{C}_{xz},\mathcal{C}_{xy})$ in three-dimensional systems has been experimentally realized [\B{Nature 609, 925 (2022)}]. Motivated by these progresses,…

Mesoscale and Nanoscale Physics · Physics 2025-01-27 Zhi-Qiang Zhang , Shu-Guang Cheng , Hongfang Liu , Hailong Li , Hua Jiang , X. C. Xie

The classification of topological insulators predicts the existence of high-dimensional topological phases that cannot occur in real materials, as these are limited to three or fewer spatial dimensions. We use electric circuits to…

Mesoscale and Nanoscale Physics · Physics 2020-06-03 You Wang , Hannah M. Price , Baile Zhang , Y. D. Chong
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