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The discovery of topological phases of matter and topological boundary states had tremendous impact on condensed matter physics and photonics, where topological phases are defined via energy bands, giving rise to topological band theory.…

Electrides are characterized by electron density highly localized in interstitial sites, which do not coincide with the interatomic contacts. The rigorous quantum mechanical definition of electrides is based upon topological criteria…

Materials Science · Physics 2025-08-07 Stefano Racioppi , Eva Zurek

Topological metals are special conducting materials with gapless band structures and nontrivial edge-localized resonances, whose discovery has proved elusive because the traditional topological classification methods do not apply in this…

Mesoscale and Nanoscale Physics · Physics 2023-06-21 Wenting Cheng , Alexander Cerjan , Ssu-Ying Chen , Emil Prodan , Terry A. Loring , Camelia Prodan

Topological materials are of great interest because they can support metallic edge or surface states that are robust against perturbations, with the potential for technological applications. Here we experimentally explore the light-induced…

Discrete degrees of freedom, such as spin and orbital, can provide intriguing strategies to manipulate electrons, photons, and phonons. With a spin degree of freedom, topological insulators have stimulated intense interests in…

Mesoscale and Nanoscale Physics · Physics 2021-04-22 Jingwen Ma , Xiang Xi , Yuan Li , Xiankai Sun

Topological phases of electrons such as topological insulators and quantum Hall states typically require strong spin-orbit coupling or magnetic fields. In this study, we consider an electron system coupled to a spin system, where electrons…

Strongly Correlated Electrons · Physics 2025-12-11 Kosuke Fujiwara , Takahiro Morimoto

Integration between magnetism and topology is an exotic phenomenon in condensed-matter physics. Here, we propose an exotic phase named topological crystalline antiferromagnetic state, in which antiferromagnetism intrinsically integrates…

Materials Science · Physics 2017-10-11 Ningning Hao , Fawei Zheng , Ping Zhang , Shun-Qing Shen

Elastic wave manipulation is important in a wide variety of scales in applications including information processing in tiny elastic devices and noise control in big solid structures. The recent emergence of topological materials opens a new…

Materials Science · Physics 2022-10-05 Ying Wu , Jiuyang Lu , Xueqin Huang , Yating Yang , Li Luo , Linyun Yang , Feng Li , Weiyin Deng , Zhengyou Liu

Since topological insulators were theoretically predicted and experimentally observed in semiconductors with strong spin-orbit coupling, more and more attention has been drawn to topological materials which host exotic surface states. These…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Yige Chen , Yuan-Ming Lu , Hae-Young Kee

The electronic band structure of iron pnictides exhibits four Dirac cones, which are due to crystal symmetry and orbital bonding orientation. This hallmark signature presents the pnictide family as an ideal candidate in the search for…

Mesoscale and Nanoscale Physics · Physics 2015-03-24 Yuan-Yen Tai , Cheng-Ching Joseph Wang , Matthias J. Graf , Jian-Xin Zhu , C. S. Ting

A fundamental open problem in condensed matter physics is how the dichotomy between conventional and topological band insulators is modified in the presence of strong electron interactions. We show that there are 6 new electronic…

Strongly Correlated Electrons · Physics 2014-02-10 Chong Wang , Andrew C. Potter , T. Senthil

Non-Hermitian systems have been discussed mostly in the context of open systems and nonequilibrium. Recent experimental progress is much from optical, cold-atomic, and classical platforms due to the vast tunability and clear identification…

Mesoscale and Nanoscale Physics · Physics 2024-01-25 Xiao-Xiao Zhang , Naoto Nagaosa

Topological phases of matter are classified based on their Hermitian Hamiltonians, whose real-valued dispersions together with orthogonal eigenstates form nontrivial topology. In the recently discovered higher-order topological insulators…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 He Gao , Haoran Xue , Zhongming Gu , Tuo Liu , Jie Zhu , Baile Zhang

Photonic crystal topological insulators host protected states at their edges. In the band structure these edge states appear as continuous bands crossing the photonic band gap. They allow light to propagate unidirectionally and without…

Optics · Physics 2017-08-02 Gleb Siroki , Paloma Arroyo Huidobro , Vincenzo Giannini

Topological phases of matter have sparked an immense amount of activity in recent decades. Topological materials are classified by topological invariants that act as a non-local order parameter for any symmetry and condition. As a result,…

Materials Science · Physics 2020-12-08 Oded Zilberberg

Robust metallic surface states (MSS) of topological insulator (TI) against imperfections and perturbations are important in broad applications such as chemical catalysis and quantum computing. Unfortunately, they are suffered from the…

Materials Science · Physics 2024-02-27 Dan Wang , Hongxing Song , Leilei Zhang , Hao Wang , Yi Sun , Fengchao Wu , Ying Chen , Xiangrong Chen , Hua Y. Geng

Topological insulators are crystalline materials that have revolutionized our ability to control wave transport. They provide us with unidirectional channels that are immune to obstacles, defects or local disorder, and can even survive some…

Applied Physics · Physics 2022-12-12 Zhe Zhang , Pierre Delplace , Romain Fleury

Recently published discoveries of acoustic and optical mode inversion in the phonon spectrum of certain metals became the first realistic example of non-interacting topological bosonic excitations in existing materials. However, the…

Materials Science · Physics 2018-11-21 Sobhit Singh , QuanSheng Wu , Changming Yue , Aldo H. Romero , Alexey A. Soluyanov

We construct a simple model for electrons in a three-dimensional crystal where a combination of short-range hopping and spin-orbit coupling results in nearly flat bands characterized by a non-trivial Z2 topological index. The flat band is…

Mesoscale and Nanoscale Physics · Physics 2012-01-27 C. Weeks , M. Franz

While topological phases have been extensively studied in amorphous systems in recent years, it remains unclear whether the random nature of amorphous materials can give rise to higher-order topological phases that have no crystalline…

Disordered Systems and Neural Networks · Physics 2023-11-15 Yu-Liang Tao , Jiong-Hao Wang , Yong Xu