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Magnetic topological systems based on MnBi2Te4 have recently attracted significant attention due to their rich interplay between magnetism and topological electronic states. In this work, using density functional theory (DFT), we…

The recent discovery of two-dimensional (2D) Van der Waals (VdW) magnets is a crucial turning point in the quantum magnet research field, since quantum fluctuations and experimental difficulties often elude stable magnetic orders in 2D.…

Mesoscale and Nanoscale Physics · Physics 2021-07-21 Sujay Ray , Tanmoy Das

We propose a model with Weyl magnons and nodal-line magnons ($\mathbb{Z}_2$) in a collinear altermagnet on the honeycomb lattice. Altermagnetic magnon bands can be realized by breaking the symmetry of the second nearest neighbor exchange…

Mesoscale and Nanoscale Physics · Physics 2025-02-21 Meng-Han Zhang , Lu Xiao , Dao-Xin Yao

Recently, the tunable Weyl-semimetal bands and the associate topological phase transition have been successfully simulated in superconducting quantum circuits [X. Tan, \textit{et al.} Phys. Rev. Lett. {\bf 122}, 010501 (2019)]. Since the…

Quantum Physics · Physics 2022-10-28 Mingzhu Weng , Weijun Cheng , Zhihai Wang , Haodi Liu

Weyl points and line nodes are three-dimensional linear point- and line-degeneracies between two bands. In contrast to Dirac points, which are their two-dimensional analogues, Weyl points are stable in the momentum space and the associated…

Mesoscale and Nanoscale Physics · Physics 2013-08-29 Ling Lu , Liang Fu , John D. Joannopoulos , Marin Soljačić

Classical topological phases derived from point degeneracies in photonic bandstructures show intriguing and unique behaviour. Previously identified exceptional points are based on accidental degeneracies and subject to engineering on a…

Optics · Physics 2017-12-06 Matthias Saba , Joachim M. Hamm , Jeremy J. Baumberg , Ortwin Hess

A periodic lattice distortion that reduces the translational symmetry folds electron bands into a reduced Brillouin zone, leading to band mixing and a tendency to gap formation, as in the Peierls transition in one-dimensional systems.…

Other Condensed Matter · Physics 2025-11-07 Santiago Palumbo , Pablo S. Cornaglia , Jorge I. Facio

We introduce new classes of gapped topological phases characterized by quantized crystalline-electromagnetic responses, termed "multipolar Chern insulators". These systems are characterized by nonsymmorphic momentum-space symmetries and…

Mesoscale and Nanoscale Physics · Physics 2026-01-14 Sachin Vaidya , André Grossi Fonseca , Mark R. Hirsbrunner , Taylor L. Hughes , Marin Soljačić

Topology, a well-established concept in mathematics, has nowadays become essential to describe condensed matter. At its core are chiral electron states on the bulk, surfaces and edges of the condensed matter systems, in which spin and…

Materials Science · Physics 2022-05-13 Claudia Felser , Johannes Gooth

We show that wavefunctions in a two-dimensional (2D) electron system with spin-orbit coupling can be characterized by a topological quantity--the Chern integer due to the existence of the intrinsic Kramers degeneracy. The…

Condensed Matter · Physics 2009-10-28 D. N. Sheng , Z. Y. Weng

Three-dimensional topological gapless phases have attracted significant attention due to their unique electronic properties. A flagship example are Weyl semimetals, which require breaking time-reversal or inversion symmetry. In two…

Mesoscale and Nanoscale Physics · Physics 2022-02-16 Jose. D. Mella , Luis E. F. Foa Torres

Weyl and Dirac semimetals are three dimensional phases of matter with gapless electronic excitations that are protected by topology and symmetry. As three dimensional analogs of graphene, they have generated much recent interest. Deep…

Strongly Correlated Electrons · Physics 2018-01-31 N. P. Armitage , E. J. Mele , Ashvin Vishwanath

Weyl semimetal may be thought of as a gapless topological phase protected by the chiral anomaly, where the symmetries involved in the anomaly are the $U(1)$ charge conservation and the crystal translational symmetry. The absence of a band…

Strongly Correlated Electrons · Physics 2020-03-09 Chong Wang , L. Gioia , A. A. Burkov

Unconventional Weyl points (WPs), carrying topological charge 2 or higher, possess interesting properties different from ordinary charge-1 WPs, including multiple Fermi arcs that stretch over a large portion of the Brillouin zone. Thus far,…

Mesoscale and Nanoscale Physics · Physics 2020-10-07 Yihao Yang , Zhen Gao , Xiaolong Feng , Yue-Xin Huang , Peiheng Zhou , Shengyuan A. Yang , Yidong Chong , Baile Zhang

Spin-1 Weyl point is formed by three bands touching at a single point in the three dimensional (3D) momentum space, with two of which show cone-like dispersion while the third band is flat. Such a triply degenerate point carries higher…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Xiaotian Shi , Jinkyu Yang

Inspired by recent discovery of metallic $d$-wave altermagnetism in KV$_2$Se$_2$O, we develop a self-consistent microscopic many-body calculation of density-wave order for an itinerant altermagnetic metal. We show that the strong $d$-wave…

Strongly Correlated Electrons · Physics 2026-02-13 Fei Yang , Guo-Dong Zhao , Binghai Yan , Long-Qing Chen

Topological semimetal states having the minimal number, i.e., only a single pair, of Weyl points are desirable for the study of effects associated with chiral topological charges. So far, the search for such states is focused on magnetic…

Materials Science · Physics 2022-11-30 Xiaotian Wang , Feng Zhou , Zeying Zhang , Weikang Wu , Zhi-Ming Yu , Shengyuan A. Yang

Topological phases of matter exhibit phase transitions between distinct topological classes. These phase transitions are exotic in that they do not fall within the traditional Ginzburg-Landau paradigm but are instead associated with changes…

Understanding correlation effects in topological phases of matter is at the forefront of current research in condensed matter physics. Here we try to clarify some subtleties in studying topological behaviors of interacting Weyl semimetals.…

Strongly Correlated Electrons · Physics 2019-12-30 Min-Fong Yang

We identify the existence of various symmetry-protected topological states in one-dimensional superlattices with periodically modulated hopping amplitudes or on-site potentials, which can be characterized by the quantized Berry phase $\pi$…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Huaiming Guo , Shu Chen