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The interplay between symmetry and topology in electronic band structures has been one of the central subjects in condensed-matter physics. Recently, it has been getting clear that a wide variety of useful information about the band…

Materials Science · Physics 2018-09-26 Seishiro Ono , Haruki Watanabe

The topological classification of all known non-magnetic crystalline compounds is now complete, revealing thousands of new candidate topological materials waiting to be explored in the lab.

Materials Science · Physics 2019-03-12 Étienne Lantagne-Hurtubise , Marcel Franz

In numerous functional materials, such as steels, ferroelectrics and magnets, new functionalities can be achieved through the engineering of the domain structures, which are associated with the ordering of certain parameters within the…

Materials Science · Physics 2017-03-10 Fei-Ting Huang , Sang-Wook Cheong

Topology concepts have significantly deepened of our understanding in recent years of the electronic properties of one-dimensional (1D) nano structures such as the graphene nanoribbons. Controlling topological electronic properties of GNRs…

Materials Science · Physics 2021-02-03 Jingwei Jiang , Steven G. Louie

Theoretical prediction of topological superconductivity is key to their discovery. Recently, it is proved that in 199 out of 230 space groups, topological superconductivity coexists with an $s$-wave-like pairing symmetry, raising the hope…

Superconductivity · Physics 2025-07-11 Zhongyi Zhang , Ken Shiozaki , Chen Fang , Seishiro Ono

Topology, a mathematical concept, has recently become a popular and truly transdisciplinary topic encompassing condensed matter physics, solid state chemistry, and materials science. Since there is a direct connection between real space,…

Materials Science · Physics 2021-03-23 Nitesh Kumar , Satya N. Guin , Kaustuv Manna , Chandra Shekhar , Claudia Felser

We discuss the momentum-space topology of 3+1 and 2+1 strongly correlated fermionic systems. For the 3+1 systems the important universality class is determined by the topologically stable Fermi points in momentum space. In the extreme limit…

Condensed Matter · Physics 2017-08-23 G. E. Volovik

The interplay between ferroelectricity and band topology can give rise to a wide range of both fundamental and applied research. Here, we map out the emergence of nontrivial corner states in two-dimensional ferroelectrics, and remarkably…

Materials Science · Physics 2023-02-01 Ning Mao , Runhan Li , Xiaorong Zou , Ying Dai , Baibiao Huang , Chengwang Niu

The concept of topological energy bands and their manifestations have been demonstrated in condensed matter systems as a fantastic paradigm toward unprecedented physical phenomena and properties that are robust against disorders. Recent…

Mesoscale and Nanoscale Physics · Physics 2023-03-03 Weiwei Zhu , Weiyin Deng , Yang Liu , Jiuyang Lu , Zhi-Kang Lin , Hai-Xiao Wang , Xueqin Huang , Jian-Hua Jiang , Zhengyou Liu

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

The discovery of topological semimetals with multifold band crossings has opened up a new and exciting frontier in the field of topological physics. These materials exhibit large Chern numbers, leading to long double Fermi arcs on their…

We propose a new type of topological states of matter exhibiting topologically nontrivial edge states (ESs) within gapless bulk states (GBSs) protected by both spin rotational and reflection symmetries. A model presenting such states is…

Mesoscale and Nanoscale Physics · Physics 2019-04-23 Masoud Bahari , Mir Vahid Hosseini

We investigate the topological classification of the subgap bands induced in a two-dimensional superconductor by a densely packed chain of magnetic moments with ferromagnetic or spiral alignments. The wave functions for these bands are…

Mesoscale and Nanoscale Physics · Physics 2021-12-23 C. J. F. Carroll , B. Braunecker

We review the recent, mainly theoretical, progress in the study of topological nodal line semimetals in three dimensions. In these semimetals, the conduction and the valence bands cross each other along a one-dimensional curve in the…

Mesoscale and Nanoscale Physics · Physics 2017-01-10 Chen Fang , Hongming Weng , Xi Dai , Zhong Fang

Finding new two-dimensional (2D) materials with novel quantum properties is highly desirable for technological innovations. In this work, we studied a series of metal-organic frameworks (MOFs) with different metal cores and discovered…

Materials Science · Physics 2020-11-17 Jie Li , Ruqian Wu

We present a generalization of free fermionic topological insulators that are composed of topological subsystems of differing dimensionality. We specifically focus on topological subsystems of nonzero co-dimension are embedded within a…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 Thomas I. Tuegel , Victor Chua , Taylor L. Hughes

Topological surface states are a class of novel electronic states that are of potential interest in quantum computing or spintronic applications. Unlike conventional two-dimensional electron states, these surface states are expected to be…

Mesoscale and Nanoscale Physics · Physics 2010-07-16 Jungpil Seo , Pedram Roushan , Haim Beidenkopf , Y. S. Hor , R. J. Cava , Ali Yazdani

Although ferroelectric materials are characterised by their parallel arrangement of electric dipoles, in the right boundary conditions these dipoles can reorganize themselves into vortices, antivortices and other non-trivial topological…

Topological semimetals are a new class of metallic materials, which exist at band fillings that ordinarily correspond to insulators or compensated accidental semimetals with zero Luttinger volume. Their metallicity is a result of nontrivial…

Strongly Correlated Electrons · Physics 2021-11-05 Lei Gioia , Chong Wang , A. A. Burkov

Magnetic topological materials and their physical signatures are a focus of current research. Here, by first-principles calculations and symmetry analysis, we reveal topological semimetal states in an existing antiferromagnet ThMn2Si2.…

Materials Science · Physics 2023-05-24 Ziming Zhu , Huiying Liu , Yongheng Ge , Zeying Zhang , Weikang Wu , Cong Xiao , Shengyuan A. Yang