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A Kagome lattice, formed by triangles of two different directions, is known to have many emergent quantum phenomena. Under the breathing anisotropy of bond strengths, this lattice can become a higher-order topological insulator (HOTI),…

Mesoscale and Nanoscale Physics · Physics 2022-02-24 Jun Jung , Yong-Hyun Kim

Electronic systems living on Archimedean lattices such as kagome and square-octagon networks are presently being intensively discussed for the possible realization of topological insulating phases. Coining the most interesting electronic…

Strongly Correlated Electrons · Physics 2023-05-05 Paul Wunderlich , Francesco Ferrari , Roser Valentí

We present the Stagome lattice, a variant of the Kagome lattice, where one can make any of the bands completely flat by tuning an externally controllable magnetic flux. This systematically allows the energy of the flat band to coincide with…

Strongly Correlated Electrons · Physics 2025-03-03 Biplab Pal , Georges Bouzerar

We examine the onset of classical topological order in a nearest-neighbor kagome ice model. Using Monte Carlo simulations, we characterize the topological sectors of the groundstate using a non-local cut measure which circumscribes the…

Disordered Systems and Neural Networks · Physics 2011-04-07 Andrew J. Macdonald , Peter C. W. Holdsworth , Roger G. Melko

Photonic topological insulators are a promising photonic platform due to the possibility of unidirectional edge states with insensitivity to bending, fabrication imperfections or environmental fluctuation. Here we demonstrate highly…

Optics · Physics 2020-01-22 Stephan Wong , Matthias Saba , Ortwin Hess , Sang Soon Oh

We consider the combined effects of large spin-orbit couplings and a perpendicular magnetic field in a 2D honeycomb fermionic lattice. This system provides an elegant setup to generate versatile spin textures propagating along the edge of a…

Mesoscale and Nanoscale Physics · Physics 2012-01-20 N. Goldman , W. Beugeling , C. Morais Smith

Topological photonic edge states are conventionally formed at the interface between two domains of topologically trivial and nontrivial photonic crystals. Recent works exploiting photonic quantum Hall and quantum valley Hall effects have…

Optics · Physics 2023-04-26 Zhihao Lan , Menglin L. N. Chen , Jian Wei You , Wei E. I. Sha

Parafermions are a natural generalization of Majorana fermions. We consider a breathing Kagome lattice with complex hoppings by imposing $\mathbb{Z}_{3}$ clock symmetry in the complex energy plane. It is a non-Hermitian generalization of…

Mesoscale and Nanoscale Physics · Physics 2022-06-28 Motohiko Ezawa

Topology is an important degree of freedom in characterizing electronic systems. Recently, it also brings new theoretical frontiers and many potential applications in photonics. However, the verification of the topological nature is highly…

Quantum Physics · Physics 2016-06-23 Yan-Pu Wang , Wan-Li Yang , Zheng-Yuan Xue , Yong Hu , Ying Wu

Pursuing topological phases in natural and artificial materials is one of the central topics in modern physical science and engineering. In classical magnetic systems, spin waves (or magnons) and magnetic solitons (such as domain wall,…

Mesoscale and Nanoscale Physics · Physics 2021-06-02 Z. -X. Li , Yunshan Cao , Peng Yan

The energy dispersion of fermions or bosons vanishes in momentum space if destructive quantum interference occurs in a frustrated Kagome lattice with only nearest-neighbour (NN) hopping. A discrete flat band (FB) without any dispersion is…

Materials Science · Physics 2017-08-16 Zhi Li , Jincheng Zhuang , Lan Chen , Li Wang , Haifeng Feng , Xun Xu , Xiaolin Wang , Chao Zhang , Kehui Wu , Shi Xue Dou , Zhenpeng Hu , Yi Du

Topological mechanical metamaterials have been widely explored for their boundary states, which can be robustly isolated or transported in a controlled manner. However, such systems often require pre-configured design or complex active…

Mesoscale and Nanoscale Physics · Physics 2022-12-06 Yasuhiro Miyazawa , Chun-Wei Chen , Rajesh Chaunsali , Timothy S. Gormley , Gloria Yin , Georgios Theocharis , Jinkyu Yang

Two-dimensional lattice models subjected to an external effective magnetic field can form nontrivial band topologies characterized by nonzero integer band Chern numbers. In this Letter, we investigate such a lattice model originating from…

Strongly Correlated Electrons · Physics 2013-11-01 Dong Wang , Zhao Liu , Junpeng Cao , Heng Fan

The non-Hermitian skin effect (NHSE) is a distinctive topological phenomenon observed in nonHermitian systems. Recently, there has been considerable interest in exploring higher-order NHSE occurrences in two and three dimensions. In such…

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…

Owing to the unusual geometry of kagome lattices-lattices made of corner-sharing triangles-their electrons are useful for studying the physics of frustrated, correlated and topological quantum electronic states. In the presence of strong…

Topologically protected gapless edge states are phases of quantum matter which behave as massless Dirac fermions, immunizing against disorders and continuous perturbations. Recently, a new class of topological insulators (TIs) with…

Mesoscale and Nanoscale Physics · Physics 2019-08-12 Haiyan Fan , Baizhan Xia , Shengjie Zheng , Liang Tong

Archimedean lattices constitute a unique family of two-dimensional tilings formed from regular polygons arranged with uniform vertex configurations. While the kagome and snub square lattices, the simplest members of the Archimedean lattice…

Mesoscale and Nanoscale Physics · Physics 2025-12-19 L. V. Duc Pham , Nicki F. Hinsche , Ingrid Mertig

Corbino-geometry has well-known applications in physics, as in the design of graphene heterostructures for detecting fractional quantum Hall states or superconducting waveguides for illustrating circuit quantum electrodynamics. Here, we…

Topological properties of a certain class of spinless three-band Hamiltonians are shown to be summed up by the Skyrmion number in momentum space, analogous to the case of two-band Hamiltonian. Topological tight-binding Hamiltonian on a…

Strongly Correlated Electrons · Physics 2015-06-12 Gyungchoon Go , Jin-Hong Park , Jung Hoon Han
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