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Controlling light propagation using artificial photonic crystals and electromagnetic metamaterials is an important topic in the vibrant field of photonics. Notably, chiral edge states on the surface or at the interface of photonic Chern…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Ruei-Cheng Shiu , Hsun-Chi Chan , Hai-Xiao Wang , Guang-Yu Guo

Recently the possibility of achieving one-way backscatter immune transportation of light by mimicking the topological order present within certain solid state systems, such as topological insulators, has received much attention. Thus far…

The Chern topological numbers of a material system are traditionally written in terms of the Berry curvature which depends explicitly on the material band structure and on the Bloch eigenwaves. Here, we demonstrate that it is possible to…

Optics · Physics 2018-04-04 Mário G. Silveirinha

The discovery that the band structure of electronic insulators may be topologically non-trivial has unveiled distinct phases of electronic matter with novel properties. Recently, mechanical lattices have been found to have similarly rich…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Noah P. Mitchell , Lisa M. Nash , Daniel Hexner , Ari Turner , William T. M. Irvine

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

The classification of bandstructures by topological invariants provides a powerful tool for understanding phenomena such as the quantum Hall effect. This classification was originally developed in the context of electrons, but can also be…

Optics · Physics 2020-09-14 R. L. Mc Guinness , P. R. Eastham

The topology of typical Chern insulators is rooted in the periodicity of the system along two directions of real-space. In this article, we depart from this standard concept and demonstrate that a generic non-Hermitian photonic waveguide…

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

We study the polaritonic bandstructure of two-dimensional atomic lattices coupled to a single excitation of a surface plasmon polariton mode. We show the possibility of realizing topological gaps with different Chern numbers by having…

Optics · Physics 2021-03-31 Rituraj , Meir Orenstein , Shanhui Fan

Considerable efforts have recently been devoted to the experimental realization of a two-dimensional Chern insulator, i.e., a system displaying a quantum anomalous Hall effect. However, existing approaches such as those based on magnetic…

Materials Science · Physics 2014-09-12 Kevin F. Garrity , David Vanderbilt

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…

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

Topological states of matter are particularly robust, since they exploit global features insensitive to local perturbations. In this work, we describe how to create a Chern insulator of phonons in the solid state. The proposed…

Mesoscale and Nanoscale Physics · Physics 2015-08-31 V. Peano , C. Brendel , M. Schmidt , F. Marquardt

The field of topological photonics studies unique and robust photonic systems that are immune to defects and disorders due to the protection of their underlying topological phases. Mostly implemented in static systems, the studied…

Optics · Physics 2023-04-20 Jicheng Jin , Li He , Jian Lu , Lin Chang , Chen Shang , John E. Bowers , Eugene J. Mele , Bo Zhen

Nonlinearities in lattices with topological band structures can induce topological interfaces in the bulk of structures and give rise to bulk solitons in the topological bandgaps. Here we study a photonic Chern insulator with saturable…

Even if a noninteracting system has zero Berry curvature everywhere in the Brillouin zone, it is possible to introduce interactions that stabilise a fractional Chern insulator. These interactions necessarily break time-reversal symmetry…

Strongly Correlated Electrons · Physics 2015-11-10 Steven H. Simon , Fenner Harper , N. Read

Networks of interacting gyroscopes have proven to be versatile structures for understanding and harnessing finite-frequency topological excitations. Spinning components give rise to band gaps and topologically protected wave transport along…

Mesoscale and Nanoscale Physics · Physics 2021-08-25 Noah P. Mitchell , Ari M. Turner , William T. M. Irvine

The real Chern insulator state, featuring nontrivial real Chern number and second-order boundary modes, has been revealed in a few two-dimensional systems. The concept can be extended to three dimensions (3D), but a proper material…

Materials Science · Physics 2023-02-28 Xu-Tao Zeng , Bin-Bin Liu , Fan Yang , Zeying Zhang , Y. X. Zhao , Xian-Lei Sheng , Shengyuan A. Yang

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

Topological nontrivial bands can be realized via Rydberg-dressed neutral atoms. We propose a two-dimensional hard-core boson model with a topological ground enrgy at band on a honeycomb lattice, where the particle hopping is realized via…

Quantum Gases · Physics 2022-08-25 Yang Zhao , Xiao-Feng Shi
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