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Topological systems are inherently robust to disorder and continuous perturbations, resulting in dissipation-free edge transport of electrons in quantum solids, or reflectionless guiding of photons and phonons in classical wave systems…

Materials Science · Physics 2018-07-04 Xiang Ni , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev

Higher-order topological phases feature topologically protected boundary states in lower dimensions. Specifically, the zero-dimensional corner states are protected by the $d$th-order topology of a $d$-dimension system. In this work, we…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 Linhu Li , Muhammad Umer , Jiangbin Gong

Transition metal dichalcogenide (TMD) materials are unique in the wide variety of structural and electronic phases they exhibit in the two-dimensional (2D) single-layer limit. Here we show how such polymorphic flexibility can be used to…

Among the quantum materials that gained interest recently are the topological Dirac/Weyl semimetals, where conduction and valence bands touch at points in reciprocal (k)-space, and the Dirac nodal-line semimetals, where these bands touch…

Mechanical metamaterials are artificial structures with unusual properties, such as negative Poisson ratio, bistability or tunable vibrational properties, that originate in the geometry of their unit cell. At the heart of such unusual…

Soft Condensed Matter · Physics 2015-04-27 Jayson Paulose , Bryan Gin-ge Chen , Vincenzo Vitelli

Three dimensional topological insulator crystals consist of an insulating bulk enclosed by metallic surfaces, and detailed theoretical predictions about the surface state band topology and spin texture are available. While several…

Photonic topological states, providing light-manipulation approaches in robust manners, have attracted intense attention. Connecting photonic topological states with far-field degrees of freedom(DoFs) has given rise to fruitful phenomena.…

It is up to now a challenge to control the conduction of heat. Here we develop a method to distort the temperature distribution signature of an object at will. As a result, the object accurately exhibits the same temperature distribution…

Materials Science · Physics 2015-05-25 Y. X. Chen , X. Y. Shen , J. P. Huang

Hyperbolic metamaterials (HMMs) support propagating waves with arbitrarily large wavevectors over broad spectral ranges, and are uniquely valuable for engineering radiative thermal transport in the near field. Here, by employing a rational…

Optics · Physics 2022-02-04 Qizhang Li , Haiyu He , Qun Chen , Bai Song

Recent advancements in topological metamaterials have unveiled fruitful physics and numerous applications. Whereas initial efforts focus on achieving topologically protected edge states through principles of structural symmetry, the…

Applied Physics · Physics 2024-09-13 Shuaifeng Li , Yubin Oh , Seong Jae Choi , Panayotis G. Kevrekidis , Jinkyu Yang

Modern condensed matter physics relies on the concept of topology to classify matter, from quantum Hall systems to topological insulators. Engineered systems, benefiting from synthetic dimensions, can potentially give access to novel…

We introduce the notion of topological electronic states on random lattices in non-integer dimensions. By considering a class $D$ model on critical percolation clusters embedded in two dimensions, we demonstrate that these topological…

Mesoscale and Nanoscale Physics · Physics 2022-12-15 Moein N. Ivaki , Isac Sahlberg , Kim Pöyhönen , Teemu Ojanen

Transition-metal dichalcogenides (TMDs) are renowned for their rich and varied properties. They range from metals and superconductors to strongly spin-orbit-coupled semiconductors and charge-density-wave systems, with their single-layer…

This is an introductory review of the physics of topological quantum matter with cold atoms. Topological quantum phases, originally discovered and investigated in condensed matter physics, have recently been explored in a range of different…

Quantum Gases · Physics 2019-04-03 Dan-Wei Zhang , Yan-Qing Zhu , Y. X. Zhao , Hui Yan , Shi-Liang Zhu

The emerging field of topological metasurfaces offers unique advantages, particularly in robustness against backscattering in low-profile structures. The lattice configuration of these structures significantly influences the ability to…

Optics · Physics 2026-02-12 Sayyed Ahmad Abtahi , Mohsen Maddahali , Ahmad Bakhtafrouz

Diffusion condensation is a dynamic process that yields a sequence of multiscale data representations that aim to encode meaningful abstractions. It has proven effective for manifold learning, denoising, clustering, and visualization of…

Machine Learning · Computer Science 2023-01-06 Guillaume Huguet , Alexander Tong , Bastian Rieck , Jessie Huang , Manik Kuchroo , Matthew Hirn , Guy Wolf , Smita Krishnaswamy

How topological defects affect the dynamics of particles hopping between lattice sites of a distorted, two-dimensional crystal is addressed. Perturbation theory and numerical simulations show that weak, short-ranged topological disorder…

Statistical Mechanics · Physics 2007-05-23 Ligang Chen , Michael W. Deem

Two-dimensional (2D) metallic lattices with kagome topology provide a unique platform for exploring the interplay between geometric frustration, reduced coordination, and lattice stability in elemental systems. Motivated by the recent…

We theoretically study the topological properties of the tight-binding model on the breathing kagome lattice with antisymmetric spin-orbit coupling (SOC) between nearest neighbors. We show that the system hosts nontrivial topological phases…

Mesoscale and Nanoscale Physics · Physics 2019-04-29 Adrien Bolens , Naoto Nagaosa

The notion of higher-order topological insulators has endowed materials with topological states beyond the first order. Particularly, a three-dimensional (3D) higher-order topological insulator can host topologically protected 1D hinge…

Mesoscale and Nanoscale Physics · Physics 2021-02-16 Qiang Wei , Xuewei Zhang , Weiyin Deng , Jiuyang Lu , Xueqin Huang , Mou Yan , Gang Chen , Zhengyou Liu , Suotang Jia