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Nonlinear optical (NLO) phenomena such as harmonic generation, Kerr, and Pockels effects are of great technological importance for lasers, frequency converters, modulators, switches, etc. Recently, two-dimensional (2D) materials have drawn…

Higher order topological insulators are a new class of topological insulators in dimensions $\rm d>1$. These higher-order topological insulators possess $\rm (d - 1)$-dimensional boundaries that, unlike those of conventional topological…

Mesoscale and Nanoscale Physics · Physics 2021-07-05 Arijit Saha , Arun M. Jayannavar

The study of topological band structures have sparked prominent research interest the past decade, culminating in the recent formulation of rather prolific classification schemes that encapsulate a large fraction of phases and features.…

Mesoscale and Nanoscale Physics · Physics 2021-05-21 Gunnar. F. Lange , Adrien Bouhon , Robert-Jan Slager

The rich and unconventional physics in layered 2D magnets can open new avenues for topological magnonics and magnon valleytronics. In particular, two-dimensional (2D) bilayer quantum magnets are gaining increasing attention due to their…

Mesoscale and Nanoscale Physics · Physics 2021-05-31 Doried Ghader

Two-dimensional (2D) topological insulators (TIs) have attracted tremendous research interest from both theoretical and experimental fields in recent years. However, it is much less investigated in realizing node line (NL) semimetals in 2D…

Materials Science · Physics 2018-04-02 Run-Wu Zhang , Cheng-Cheng Liu , Da-Shuai Ma , Yugui Yao

We study a class of topological materials which in their momentum-space band structure exhibit three-fold degeneracies known as triple points. Focusing specifically on $\mathcal{P}\mathcal{T}$-symmetric crystalline solids with negligible…

Mesoscale and Nanoscale Physics · Physics 2022-02-28 Patrick M. Lenggenhager , Xiaoxiong Liu , Stepan S. Tsirkin , Titus Neupert , Tomáš Bzdušek

Point defects govern many important functional properties of two-dimensional (2D) materials. However, resolving the three-dimensional (3D) arrangement of these defects in multi-layer 2D materials remains a fundamental challenge, hindering…

Using a systematic relation between topological gapless phases in three dimensions and topological gapped phases in two dimensions, we identify four types of higher-order topological semimetals or nodal superconductors (HOTS), hosting (i)…

Mesoscale and Nanoscale Physics · Physics 2022-07-07 Sophia Simon , Max Geier , Piet W. Brouwer

Graphene is a two-dimensional Dirac semimetal showing interesting properties as a result of its dispersion relation with both quasiparticles and quasiholes or matter and anti-matter. We introduce a topological nodal ring semimetal in…

Mesoscale and Nanoscale Physics · Physics 2023-05-03 Karyn Le Hur , Sariah Al Saati

We adapt the topological quantum chemistry formalism to layer groups, and apply it to study the band topology of 8,872 entries from the computational two-dimensional (2D) materials databases C2DB and MC2D. In our analysis, we find 4,073…

Mesoscale and Nanoscale Physics · Physics 2024-11-15 Urko Petralanda , Yi Jiang , B. Andrei Bernevig , Nicolas Regnault , Luis Elcoro

Two-dimensional (2D) materials have attracted great attention and spurred rapid development in both fundamental research and device applications. The search for exotic physical properties, such as magnetic and topological order, in 2D…

Materials Science · Physics 2019-09-18 B. Feng , R. -W. Zhang , Y. Feng , B. Fu , S. Wu , K. Miyamoto , S. He , L. Chen , K. Wu , K. Shimada , T. Okuda , Y. Yao

Searching for topological insulators/superconductors is a central subject in recent condensed matter physics. As a theoretical aspect, various classification methods of symmetry-protected topological phases have been developed, where the…

Superconductivity · Physics 2021-12-01 Shuntaro Sumita , Youichi Yanase

Since the discovery of graphene, two-dimensional materials with atomic level thickness have rapidly grown to be a prosperous field of physical science with interdisciplinary interests, for their fascinating properties and broad…

Materials Science · Physics 2020-11-20 Ming An , Shuai Dong

The Weyl exceptional nodal lines usually occur in 3D topological semimetals, but also emerge in the parameter space of 1D systems. In this work, we study the impact of dissipation on the nodal ring in a 3D topological semimetal. We find…

Strongly Correlated Electrons · Physics 2026-02-11 E. S. Ma , Z. Song

The discovery of Weyl semimetals opens the door for searching topological semimetals in physical science. The Weyl points are generally recognized as conventional, quadratic, spin-1, and those of high topological charges. Here we report the…

Mesoscale and Nanoscale Physics · Physics 2022-03-29 Li Luo , Weiyin Deng , Yating Yang , Mou Yan , Jiuyang Lu , Xueqin Huang , Zhengyou Liu

Exceptional points (EPs) of non-Hermitian (NH) systems have recently attracted increasing attention due to their rich phenomenology and intriguing applications. Compared to the predominantly studied second-order EPs, higher-order EPs have…

Mesoscale and Nanoscale Physics · Physics 2023-09-07 Kunkun Wang , Lei Xiao , Haiqing Lin , Wei Yi , Emil J. Bergholtz , Peng Xue

Two-dimensional (2D) materials may exhibit intriguing band structure features (e.g., Dirac points), that lay far away from the Fermi level. They are, thus, not usable in applications. The semiconducting 2D material PC6 has two Dirac cones…

Materials Science · Physics 2021-10-01 Maximilian A. Springer , Thomas Brumme , Agnieszka Kuc , Thomas Heine

Network data has become widespread, larger, and more complex over the years. Traditional network data is dyadic, capturing the relations among pairs of entities. With the need to model interactions among more than two entities, significant…

Social and Information Networks · Computer Science 2025-05-30 Hao Tian , Reza Zafarani

Higher-order Weyl semimetals are a family of recently predicted topological phases simultaneously showcasing unconventional properties derived from Weyl points, such as chiral anomaly, and multidimensional topological phenomena originating…

Mesoscale and Nanoscale Physics · Physics 2023-06-06 Yuang Pan , Chaoxi Cui , Qiaolu Chen , Fujia Chen , Li Zhang , Yudong Ren , Ning Han , Wenhao Li , Xinrui Li , Zhi-Ming Yu , Hongsheng Chen , Yihao Yang

We develop the topological band theory for systems described by non-Hermitian Hamiltonians, whose energy spectra are generally complex. After generalizing the notion of gapped band structures to the non-Hermitian case, we classify "gapped"…

Mesoscale and Nanoscale Physics · Physics 2018-04-11 Huitao Shen , Bo Zhen , Liang Fu