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We study the impact of spin-orbit coupling on the topological band-properties of copper-substituted lead phosphate apatite using a combination of group-theoretical analysis and full-relativistic density-functional theory calculations. We…

Mesoscale and Nanoscale Physics · Physics 2023-10-17 Martin Braß , Liang Si , Karten Held

The band-degeneracy points in the Brillouin zones of chiral crystals exist in multiple avatars, with the high-symmetry points being able to host multifold nodes of distinct characters. A class of such crystals, assisted by the spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2025-06-18 Ipsita Mandal

Three-dimensional topological gapless matters with gapless degeneracies protected by a topological invariant defined over a closed manifold in momentum space have attracted considerable interest in various fields ranging from condensed…

Quantum Gases · Physics 2019-05-07 Yong Xu

We show that compounds in a family that possess time-reversal symmetry and share a non-centrosymmetric cubic structure with the space group F-43m (No. 216) host robust ideal Weyl semi-metal fermions with desirable topologically protected…

Materials Science · Physics 2017-09-13 R. Wang , J. Z. Zhao , Y. J. Jin , W. P. Xu , L. -Y. Gan , X. Z. Wu , H. Xu , S. Y. Tong

Topological characteristics of energy bands, such as Dirac/Weyl nodes, have attracted substantial interest in condensed matter systems as well as in classical wave systems. Among these energy bands, the type-II Dirac point is a nodal…

Double-Weyl fermions, as novel topological states of matter, have been mostly discussed in nonmagnetic materials. Here, based on density-functional theory and symmetry analysis, we propose the realization of fully spin-polarized double-Weyl…

Materials Science · Physics 2020-11-30 Lei Jin , Xiaoming Zhang , Ying Liu , Xuefang Dai , Liying Wang , Guodong Liu

By utilizing symmetry analysis and electronic structure calculations, we investigated the low-temperature orthorhombic phase of Ag$_{2}$Se in ${\cal SG}$~17. In addition to the discovery of a nodal plane at $k_{z}=\pi$ protected by the…

Mesoscale and Nanoscale Physics · Physics 2020-04-08 Wujun Shi , Gang Li

Enhanced gauge symmetry appears in Type II string theory (as well as F- and M-theory) compactified on Calabi--Yau manifolds containing exceptional divisors meeting in Dynkin configurations. It is shown that in many such cases, at enhanced…

Algebraic Geometry · Mathematics 2009-11-07 Balazs Szendroi

It was recently shown that nonsymmorphic space group symmetries can protect novel surface states with hourglass-like dispersions. In this paper, we show that such dispersions can also appear in the bulk of three-dimensional (3D) systems…

Mesoscale and Nanoscale Physics · Physics 2017-08-10 Luyang Wang , Shao-Kai Jian , Hong Yao

A data mining study of electronic Kohn-Sham band structures was performed to identify Dirac materials within the Organic Materials Database (OMDB). Out of that, the 3-dimensional organic crystal…

Materials Science · Physics 2017-09-25 R. Matthias Geilhufe , Adrien Bouhon , Stanislav S. Borysov , Alexander V. Balatsky

In this work we predict a family of noncentrosymmetric two-dimensional (2D) Weyl semimetals composed by porous Ge and SiGe structures. These systems are energetically stable graphenylene-like structures with a buckling, spontaneously…

Materials Science · Physics 2024-02-06 Emmanuel V. C. Lopes , Rogerio J. Baierle , Roberto H. Miwa , Tome M. Schmidt

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

We derive two fundamental laws of chiral band crossings: (i) a local constraint relating the Chern number to phase jumps of rotation eigenvalues; and (ii) a global constraint determining the number of chiral crossings on rotation axes.…

Weyl fermions are shown to exist inside a parabolic band, where the kinetic energy of carriers is given by the non-relativistic Schroedinger equation. There are Fermi arcs as a direct consequence of the folding of a ring shaped Fermi…

Superconductivity · Physics 2017-10-11 Mauro M. Doria , Andrea Perali

We demonstrate a tunable Dirac-Weyl semimetal phase in two dimensions, realized by introducing in-plane d-wave altermagnetism into a Dirac system. This phase hosts both a central Dirac point and momentumseparated Weyl points connected by…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Lizhou Liu , Qing-Feng Sun , Ying-Tao Zhang

In general, the stability of a band crossing point indicates the presence of a quantized topological number associated with it. In particular, the recent discovery of three-dimensional Dirac semimetals in Na$_{3}$Bi and Cd$_{3}$As$_{2}$…

Mesoscale and Nanoscale Physics · Physics 2015-10-27 Bohm-Jung Yang , Takahiro Morimoto , Akira Furusaki

Based on $ab$ $initio$ calculations and low-energy effective $k{\cdot}p$ model, we propose a type of Weyl nodal point-line fermion, composed of 0D Weyl points and 1D Weyl nodal line, in ferromagnetic material Eu$_5$Bi$_3$. In the absence of…

Materials Science · Physics 2019-09-13 Hongbo Wu , Da-Shuai Ma , Botao Fu , Wei Guo , Yugui Yao

Magnetic topological materials have recently drawn significant importance and interest, due to their topologically nontrivial electronic structure within spontaneous magnetic moments and band inversion. Based on first-principles…

Strongly Correlated Electrons · Physics 2018-07-20 R. Wang , Y. J. Jin , J. Z. Zhao , Z. J. Chen , Y. J. Zhao , H. Xu

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

As one of Weyl semimetals discovered recently, NbP exhibits two groups of Weyl points with one group lying inside the $k_z=0$ plane and the other group staying away from this plane. All Weyl points have been assumed to be type-I, for which…

Materials Science · Physics 2017-10-18 Shu-Chun Wu , Yan Sun , Claudia Felser , Binghai Yan
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