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Here we study the systematic evolution of the topological properties of a Chern insulator in presence of an electronic dispersion that can be tuned smoothly from being Dirac-like till a semi-Dirac one and beyond. The band structure under…

Mesoscale and Nanoscale Physics · Physics 2022-03-31 Sayan Mondal , Priyadarshini Kapri , Bashab Dey , Tarun Kanti Ghosh , Saurabh Basu

Periodic networks composed of capacitors and inductors have been demonstrated to possess topological properties with respect to incident electromagnetic waves. Here, we develop an analogy between the mathematical description of waves…

Mesoscale and Nanoscale Physics · Physics 2019-06-12 Rafael Haenel , Timothy Branch , Marcel Franz

Topological insulators are new states of matter in which the topological phase originates from symmetry breaking. Recently, time-reversal invariant topological insulators were demonstrated for classical wave systems, such as acoustic…

Mesoscale and Nanoscale Physics · Physics 2022-10-03 Yifan Zhu , Yugui Peng , Xudong Fan , Jing Yang , Bin Liang , Xuefeng Zhu , Jianchun Cheng

Photonic Chern insulators enable unidirectional light transport protected by nontrivial band topology -- essential for robust photonic integrated circuits and error-free communication. However, disorder from impurities or defects inevitably…

Optics · Physics 2026-05-11 Xiaoxuan Shi , Tiantao Qu , Xianbin Wu , Mudi Wang , Lei Zhang , Jun Chen

Chern insulator systems are realizable in numerous physical systems and can support robust nonreciprocal transmission of energy. A routing functionality constructed from two counter-oriented Chern insulator regions, using coupled Haldane…

Optics · Physics 2026-04-16 Mark J. Ablowitz , Justin T. Cole , Sean D. Nixon

The breaking of time-reversal symmetry is a crucial ingredient to topological bands. It can occur intrisically in materials with magnetic order, or be induced by external fields, such as magnetic fields in quantum Hall systems, or…

Mesoscale and Nanoscale Physics · Physics 2022-05-10 Utso Bhattacharya , Swati Chaudhary , Tobias Grass , Allan S. Johnson , Simon Wall , Maciej Lewenstein

Two-dimensional (2D) semi-Dirac materials are characterized by a quadratic dispersion in one direction and a linear dispersion along the orthogonal direction. We study the topological phase transition in such 2D systems in the presence of…

Strongly Correlated Electrons · Physics 2016-09-01 Kush Saha

Photonic Chern insulators can be implemented in gyromagnetic photonic crystals with broken time-reversal (TR) symmetry. They exhibit gapless chiral edge states (CESs), enabling unidirectional propagation and demonstrating exceptional…

Mesoscale and Nanoscale Physics · Physics 2024-05-30 Subhaskar Mandal , Ziyao Wang , Rimi Banerjee , Hau Tian Teo , Peiheng Zhou , Xiang Xi , Zhen Gao , Gui-Geng Liu , Baile Zhang

A family of semiconductors called as Chern band insulator are shown to host exciton bands with non-zero topological Chern integers and chiral exciton edge modes. Using a prototypical two-band Chern insulator model, we calculate a…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 Ke Chen , Ryuichi Shindou

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

Impurities embedded in electronic systems induce bound states which under certain circumstances can hybridize and lead to impurity bands. Doping of insulators with impurities has been identified as a promising route towards engineering…

Mesoscale and Nanoscale Physics · Physics 2019-04-17 Emma L. Minarelli , Kim Pöyhönen , Gerwin A. R. van Dalum , Teemu Ojanen , Lars Fritz

Time Reversal Symmetry (TRS) broken topological phases provide gapless surface states protected by topology, regardless of additional internal symmetries, spin or valley degrees of freedom. Despite the numerous demonstrations of 2D…

The transfer of topological concepts from the quantum world to classical mechanical and electronic systems has opened fundamentally new approaches to protected information transmission and wave guidance. A particularly promising technology…

Robustness against disorder and defects is a pivotal advantage of topological systems, manifested by absence of electronic backscattering in the quantum Hall and spin-Hall effects, and unidirectional waveguiding in their classical analogs.…

Mesoscale and Nanoscale Physics · Physics 2021-03-24 Zhe Zhang , Pierre Delplace , Romain Fleury

Quantized electric quadrupole insulators have recently been proposed as novel quantum states of matter in two spatial dimensions. Gapped otherwise, they can feature zero-dimensional topological corner mid-gap states protected by the bulk…

Realizing topological insulators is of great current interest because of their remarkable properties and possible future applications. There are recent proposals, based on Floquet analyses, that one can generate topologically nontrivial…

Quantum Gases · Physics 2016-08-02 Luca D'Alessio , Marcos Rigol

We analyze the non-Hermitian Haldane model where the spin-orbit interaction is made non-Hermitian. The Dirac mass becomes complex. We propose to realize it by an $LC$ circuit with operational amplifiers. A topological phase transition is…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 Motohiko Ezawa

We propose a defect-to-edge topological quantum quench protocol that can efficiently inject electric charge from defect-core states into a chiral edge current of an induced Chern insulator. The initial state of the system is assumed to be a…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Deepak Iyer , Matthew S. Foster

Chiral edge states are highly sought-after as paradigmatic topological states relevant to both quantum information processing and dissipationless electron transport. Using superconducting transmon-based quantum computers, we demonstrate…

Strongly Correlated Electrons · Physics 2022-09-30 Jin Ming Koh , Tommy Tai , Ching Hua Lee

The breaking and enforcing of symmetries is a crucial ingredient in designing topologically robust materials. While magnetic fields can break time-reversal symmetry to create Chern insulators in electronic and microwave systems, at optical…

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