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We have considered non-magnetic materials with weak spin-orbit coupling, that are periodic in two non-collinear directions, and finite in third, orthogonal direction. In some cases, combined time-reversal and crystal symmetry of such…

Materials Science · Physics 2016-02-03 Vladimir Damljanovic , Rados Gajic

In spin-orbit coupled crystals, symmetries can protect multifold degeneracies with large Chern numbers and Brillouin zone spanning topological surface states. In this work, we explore the extent to which the nontrivial topology of chiral…

Mesoscale and Nanoscale Physics · Physics 2022-12-14 Mao Lin , Iñigo Robredo , Niels B. M. Schröter , Claudia Felser , Maia G. Vergniory , Barry Bradlyn

We show that a class of compounds with $I$4/$mcm$ crystalline symmetry hosts three-dimensional semi-Dirac fermions. Unlike the known two-dimensional semi-Dirac points, the degeneracy of these three-dimensional semi-Dirac points is not…

Strongly Correlated Electrons · Physics 2022-01-07 Narayan Mohanta , Jong Mok Ok , Jie Zhang , Hu Miao , Elbio Dagotto , Ho Nyung Lee , Satoshi Okamoto

Higher-fold chiral fermions that go beyond two-fold Weyl fermions have recently been reported in crystalline systems. Here, we focus on such excitations in several binary, ternary and quaternary alloys/compounds with CoGe, BiSbPt and KMgBO3…

Materials Science · Physics 2020-11-30 Chanchal K. Barman , Chiranjit Mondal , Sumiran Pujari , Biswarup Pathak , Aftab Alam

In quantum field theory, we learn that fermions come in three varieties: Majorana, Weyl, and Dirac. Here we show that in solid state systems this classification is incomplete and find several additional types of crystal symmetry-protected…

Mesoscale and Nanoscale Physics · Physics 2016-07-25 Barry Bradlyn , Jennifer Cano , Zhijun Wang , M. G. Vergniory , C. Felser , R. J. Cava , B. Andrei Bernevig

Large N quasi-fermionic Chern-Simons-matter theories have an approximate higher-spin symmetry that strongly constrains their correlation functions. In particular, the 3-point functions for generic spins are combinations of 3 structures…

High Energy Physics - Theory · Physics 2024-05-06 Ofer Aharony , Rohit R. Kalloor , Trivko Kukolj

Magnetic skyrmions are chiral spin textures with rich physics and great potential for unconventional computing. Typically, skyrmions form in bulk crystals with reduced symmetry or ultrathin film multilayers involving heavy metals. Here, we…

Nonsymmorphic symmetries can give rise to Dirac semimetal (DSM) states. However, few studies have been conducted on DSMs in interacting systems. Here, we induce interacting DSM states in nonsymmorphic iridium oxides SrIrO$_3$, BaIrO$_3$ and…

Strongly Correlated Electrons · Physics 2025-09-18 Zhi-Ming Yang , Huan Li

The Nielsen--Ninomiya theorem requires that the total topological chiral charges in a crystal vanish, a constraint typically satisfied by identical nodes like Weyl--Weyl pairs. Whether a minimal heterogeneous configuration -- comprising a…

Materials Science · Physics 2026-03-19 Hui-Jing Zheng , Ke-Xin Pang , Yun-Yun Bai , Yanfeng Ge , Yan Gao

The three-dimensional (3D) Dirac point, where two Weyl points overlap in momentum space, is usually unstable and hard to realize. Here we show, based on the first-principles calculations and effective model analysis, that crystalline…

Materials Science · Physics 2012-05-25 Zhijun Wang , Yan Sun , Xingqiu Chen , Cesare Franchini , Gang Xu , Hongming Weng , Xi Dai , Zhong Fang

We report the discovery of attractive magnetic skyrmions and their clusters in non-centrosymmetric ferromagnets. These three-dimensional solitons have been predicted to exist in the cone phase of chiral ferromagnets (J. Phys: Condens.…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 J. C. Loudon , A. O. Leonov , A. N. Bogdanov , M. Ciomaga Hatnean , G. Balakrishnan

It is well known that a single Dirac cone at high-symmetry point (HSP) of a Brillouin zone, akin to the one in graphenes' band structure, can not appear as the only quasiparticle at the Fermi level in two-dimensional (2D), non-magnetic…

Mesoscale and Nanoscale Physics · Physics 2024-09-16 Vladimir Damljanovic

Chiral crystals are materials whose lattice structure has a well-defined handedness due to the lack of inversion, mirror, or other roto-inversion symmetries. These crystals represent a broad, important class of quantum materials; their…

Topological semimetals in three dimensions display band-touchings at points (Weyl or Dirac semimetals) or nodal lines in the Brillouin zone. Weyl semimetals can occur with internal symmetries only (time-reversal ${\cal T}$, charge…

Mesoscale and Nanoscale Physics · Physics 2023-12-01 Faruk Abdulla , Ganpathy Murthy , Ankur Das

Skyrmions, spin spirals, and other chiral magnetization structures developing in materials with intrinsic Dzyaloshinsky-Moriya Interaction display unique properties that have been the subject of intense research in thin-film geometries.…

Mesoscale and Nanoscale Physics · Physics 2021-03-11 Swapneel Amit Pathak , Riccardo Hertel

In this paper, we have proposed a novel route for the realisation of persistent spin texture (PST). We have shown from symmetry considerations that in non-polar chiral systems, bands with specific orbital characters around a high symmetry…

Materials Science · Physics 2024-12-31 Kunal Dutta , Indra Dasgupta

Multi-band touchings together with the emergence of fermions exhibiting linear dispersions have recently been predicted and realized in various materials. We first investigate the Adler-Bell-Jackiw chiral anomaly in these multi-band…

Mesoscale and Nanoscale Physics · Physics 2017-05-05 Motohiko Ezawa

Topological semimetals materialize a new state of quantum matter where massless fermions protected by a specific crystal symmetry host exotic quantum phenomena. Distinct from well-known Dirac and Weyl fermions, structurally-chiral…

Chiral fermions in solid state feature "Fermi arc" states, connecting the surface projections of the bulk chiral nodes. The surface Fermi arc is a signature of nontrivial bulk topology. Unconventional chiral fermions with an extensive Fermi…

Multi-band touchings such as 3-band, 6-band and 8-band touchings together with the emergence of high pseudospin fermions were predicted recently at high-symmetry points in three-dimensional space. In this paper, we propose a simple cubic…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Motohiko Ezawa
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