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Topological nodal-line semimetals exhibit double or fourfold degenerate nodal lines, which are protected by symmetries. Here, we investigate the possibility of the existence of triply degenerate nodal lines in metals. We present two types…

Materials Science · Physics 2021-05-26 Zhihai Liu , Luyang Wang , Dao-Xin Yao

Riemann surfaces are geometric constructions in complex analysis that may represent multi-valued holomorphic functions using multiple sheets of the complex plane. We show that the energy dispersion of surface states in topological…

Mesoscale and Nanoscale Physics · Physics 2017-01-10 Chen Fang , Ling Lu , Junwei Liu , Liang Fu

Three-dimensional (3D) topological Weyl semimetals (TWSs) represent a novel state of quantum matter with unusual electronic structures that resemble both a "3D graphene" and a topological insulator by possessing pairs of Weyl points…

Recent experimental realizations of the topological semimetal states in several monolayer systems are very attractive because of their exotic quantum phenomena and technological applications. Based on first-principles density-functional…

Materials Science · Physics 2020-04-15 Liangliang Liu , Chongze Wang , Jiangxu Li , Xing-Qiu Chen , Yu Jia , Jun-Hyung Cho

Topological mechanics and phononics have recently emerged as an exciting field of study. Here we introduce and study generalizations of the three-dimensional pyrochlore lattice that have topologically protected edge states and Weyl lines in…

Soft Condensed Matter · Physics 2016-11-10 Olaf Stenull , C. L. Kane , T. C. Lubensky

We derive a series of quantitative bulk-boundary correspondences for 3D bosonic and fermionic symmetry-protected topological (SPT) phases under the assumption that the surface is gapped, symmetric and topologically ordered, i.e., a…

Strongly Correlated Electrons · Physics 2021-08-18 Shang-Qiang Ning , Bin-Bin Mao , Zhengqiao Li , Chenjie Wang

Ferromagnetic resonance is used to reveal features of the buried electronic band structure at interfaces between ferromagnetic metals and topological insulators. By monitoring the evolution of magnetic damping, the application of this…

Magnetic topological semimetals (TSMs) are topological quantum materials with broken time-reversal symmetry (TRS) and isolated nodal points or lines near the Fermi level. Their topological properties would typically reveal from the…

Materials Science · Physics 2019-10-08 Jinyu Zou , Zhuoran He , Gang Xu

The peculiar topological properties of Weyl semimetals (WSMs) lead to unusual and unique optical properties. We investigate novel features of surface plasmon polaritons (SPPs) in a slot waveguide comprised of two semi-infinite WSMs with…

Mesoscale and Nanoscale Physics · Physics 2020-04-06 S. Oskoui Abdol , B. Abdollahipour , A. Soltani Vala

Topological Dirac and Weyl semimetals have an energy spectrum that hosts Weyl nodes appearing in pairs of opposite chirality. Topological stability is ensured when the nodes are separated in momentum space and unique spectral and transport…

Mesoscale and Nanoscale Physics · Physics 2016-12-13 Adolfo G. Grushin , Jorn W. F. Venderbos , Ashvin Vishwanath , Roni Ilan

Fermi arcs represent the surface states at the boundary of a three-dimensional topological semimetal with the vacuum, illustrating the notion of bulk-boundary correspondence playing out in real materials. Their special character is tied up…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Ipsita Mandal

The hallmark of topological phases is their robust boundary signature whose intriguing properties---such as the one-way transport on the chiral edge of a Chern insulator and the sudden disappearance of surface states forming open Fermi arcs…

Mesoscale and Nanoscale Physics · Physics 2017-09-08 Flore K. Kunst , Maximilian Trescher , Emil J. Bergholtz

Topological semimetal states which are constrained by symmetries and give birth to innovative excitations are the frontiers of topological quantum matter. Nodal chains in which two nodal rings connect at one point were first discovered in…

Materials Science · Physics 2022-12-21 Hong-Ao Yang , Hao-Yu Wei , Bing-Yang Cao

The Fermi arcs of topological surface states in the three-dimensional multi-Weyl semimetals on surfaces by a continuum model are investigated systematically. We calculated analytically the energy spectra and wave function for bulk…

Mesoscale and Nanoscale Physics · Physics 2021-11-03 Y. C. Liu , V. Wang , J. B. Lin , J. Nara

Topological semimetals with several types of three-dimensional (3D) fermion of electrons, such as Dirac fermions, Weyl fermions, Dirac nodal lines and triply degenerate nodal points have been theoretically predicted and then experimentally…

Materials Science · Physics 2018-02-28 Sami Ullah , Jiangxu Li , Ronghan Li , Qing Xie , Hui Ma , Dianzhong Li , Yiyi Li , Xing-Qiu Chen

Topological Dirac semimetals with accidental band touching between conduction and valence bands protected by time reversal and inversion symmetry are at the frontier of modern condensed matter research. Theoretically one can get Weyl and/or…

We explore topological states with magnetic order in heavy-fermion systems by taking account of a mirror symmetry.Although without spatial symmetry, there is no topological phase in the two-dimensional (2D) antiferromagnetic phases at half…

Strongly Correlated Electrons · Physics 2018-07-24 Kazuhiro Kimura , Tsuneya Yoshida , Norio Kawakami

Topological nodal semimetals are known to host a variety of fascinating electronic properties due to the topological protection of the band-touching nodes. Neutron scattering, despite its power in probing elementary excitations, has not…

In rare-earth monopnictides like NdBi, the interplay between magnetism and topology results in an extremely unusual topological semimetal phase which simultaneously hosts Weyl points with Fermi arcs as well as massive and massless Dirac…

Topological semimetals with massless Dirac and Weyl fermions represent the forefront of quantum materials research. In two dimensions (2D), a peculiar class of fermions that are massless in one direction and massive in the perpendicular…

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