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The coupling between two or more objects can generally be categorized as strong or weak. In cavity quantum electrodynamics for example, when the coupling strength is larger than the loss rate the coupling is termed strong, and otherwise it…

Quantum Physics · Physics 2022-07-12 C. A. Downing , A. J. Toghill

A general strategy of alternated slide construction to craft topological metals is proposed, where there is a relative slide between the odd and even chains in the trivial spinless quantum wire array. Firstly, taking the three-leg ladder as…

Mesoscale and Nanoscale Physics · Physics 2023-05-23 Zheng-Wei Zuo , Linxi Lv , Dawei Kang

We theoretically demonstrate hybrid-order topology in a two-dimensional nonsymmorphic antiferromagnet. Utilizing a generic antiferromagnetic Dirac model with a symmetry-allowed, momentum-dependent spin-density-wave (SDW) mass, we show that…

Mesoscale and Nanoscale Physics · Physics 2026-05-11 Wei Xiong , Zi-Ming Wang , Xin-Mei Wei , Rui Wang , Dong-Hui Xu

Topological materials host fascinating low dimensional gapless states at the boundary. As a prominent example, helical topological edge states (TESs) of two-dimensional topological insulators (2DTIs) and their stacked three-dimensional (3D)…

Knowledge of the topology of the electronic ground state of materials has led to deep insights to novel phenomena such as the integer quantum Hall effect and fermion-number fractionalization, as well as other properties of matter. Joining…

Mesoscale and Nanoscale Physics · Physics 2017-08-18 Ting Cao , Fangzhou Zhao , Steven G. Louie

In this Letter, it is shown that interactions can facilitate the emergence of topological edge states of quantum-degenerate bosonic systems in the presence of a harmonic potential. This effect is demonstrated with the concrete model of a…

Quantum Gases · Physics 2017-12-05 Bogdan Galilo , Derek K. K. Lee , Ryan Barnett

The robust generation and manipulation of high-dimensional quantum states lies at the heart of modern quantum computation. The use of topology to resiliently encode and transport quantum information has been widely investigated in condensed…

Quantum Physics · Physics 2025-09-18 M. Javad Zakeri , Armando Perez-Leija , Andrea Blanco-Redondo

Macroscopic two-dimensional sonic crystals with inversion symmetry are studied to reveal higher-order topological physics in classical wave systems. By tuning a single geometry parameter, the band topology of the bulk and the edges can be…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 Zhan Xiong , Zhi-Kang Lin , Hai-Xiao Wang , Xiujuan Zhang , Ming-Hui Lu , Yan-Feng Chen , Jian-Hua Jiang

Topological features - global properties not discernible locally - emerge in systems from liquid crystals to magnets to fractional quantum Hall systems. Deeper understanding of the role of topology in physics has led to a new class of…

Mesoscale and Nanoscale Physics · Physics 2015-04-23 M. Hafezi , S. Mittal , J. Fan , A. Migdall , J. Taylor

In primary school, we were told that there are four states of matter: solid, liquid, gas, and plasma. In college, we learned that there are much more than four states of matter. For example, there are ferromagnetic states as revealed by the…

Strongly Correlated Electrons · Physics 2014-01-14 Xiao-Gang Wen

Topological phases support edge states that can be robust to material deformations and other perturbations. While well-studied in quantum systems, topological phases have also been observed in stochastic and biochemical systems, yet it…

Statistical Mechanics · Physics 2026-04-06 Ziyin Xiong , Aleksandra Nelson , Evelyn Tang

Topological phases open a door to such intriguing phenomena as unidirectional propagation and disorder-resilient localization at a stable frequency. Recently discovered higher-order topological phases further extend the concept of…

Mesoscale and Nanoscale Physics · Physics 2022-06-02 A. A. Stepanenko , M. D. Lyubarov , M. A. Gorlach

We address the co-existence of massless and massive topological edge states at the interface between two materials with different topological phases. We modify the well known Bernevig-Hughes-Zhang model to introduce a smooth function…

Mesoscale and Nanoscale Physics · Physics 2020-02-26 Tineke L. van den Berg , M. Reyes Calvo , Dario Bercioux

Topological physics opens up a plethora of exciting phenomena allowing to engineer disorder-robust unidirectional flows of light. Recent advances in topological protection of electromagnetic waves suggest that even richer functionalities…

The order from quantum disorder (OFQD) phenomenon was first discovered in quantum spin systems in geometric frustrated lattice. Similar phenomenon was also discovered in interacting bosonic systems or quantum spin systems with spin-orbit…

Quantum Gases · Physics 2023-03-14 Fadi Sun , Jinwu Ye

Thouless charge pumping protocol provides an effective route for realizing topological particle transport. To date, the first-order and higher-order topological pumps, exhibiting transitions of edge-bulk-edge and corner-bulk-corner states,…

Mesoscale and Nanoscale Physics · Physics 2023-09-11 Tianzhi Xia , Yuzeng Li , Qicheng Zhang , Xiying Fan , Meng Xiao , Chunyin Qiu

Recently a new class of quantum phases of matter: symmetry protected topological states, such as topological insulators, attracted much attention. In presence of interactions, group cohomology provides a classification of these [X. Chen et…

Strongly Correlated Electrons · Physics 2013-04-05 Andrej Mesaros , Ying Ran

The vast majority of symmetry-protected topological (SPT) states are difficult to detect, which often leads to their misidentification as ordinary or topologically trivial phases. In this work, we propose a general framework for detecting…

Strongly Correlated Electrons · Physics 2026-02-06 Zhe Wang , Longye Lu , Shang-Qiang Ning , Zenan Liu , Yan-Cheng Wang , Zheng Yan , Wenan Guo

Topological materials have potential applications for quantum technologies. Non-interacting topological materials, such as e.g., topological insulators and superconductors, are classified by means of fundamental symmetry classes. It is…

Strongly Correlated Electrons · Physics 2021-07-14 Titas Chanda , Rebecca Kraus , Giovanna Morigi , Jakub Zakrzewski

The discovery of novel topological states has served as a major branch in physics and material science. However, to date, most of the established topological states of matter have been employed in Euclidean systems, where the interplay…

Mesoscale and Nanoscale Physics · Physics 2022-07-06 Weixuan Zhang , Hao Yuan , Na Sun , Houjun Sun , Xiangdong Zhang