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Weyl and Dirac (semi)metals in three dimensions have robust gapless electronic band structures. Their massless single-body energy spectra are protected by symmetries such as lattice translation, (screw) rotation and time reversal. In this…

Strongly Correlated Electrons · Physics 2019-03-06 Syed Raza , Alexander Sirota , Jeffrey C. Y. Teo

The search for topological systems has recently broadened to include random substitutional alloys, which lack the specific crystalline symmetries that protect topological phases, raising the question whether topological properties can be…

Materials Science · Physics 2019-07-19 Zhi Wang , Qihang Liu , Alex Zunger

Topological states can be used to control the mechanical properties of a material along an edge or around a localized defect. The surface rigidity of elastic networks is characterized by a bulk topological invariant called the polarization;…

Soft Condensed Matter · Physics 2018-03-02 Guido Baardink , Anton Souslov , Jayson Paulose , Vincenzo Vitelli

Topological semimetals, such as Dirac, Weyl, or line-node semimetals, are gapless states of matter characterized by their nodal band structures and surface states. In this work, we consider layered (topologically trivial) insulating systems…

Mesoscale and Nanoscale Physics · Physics 2022-05-12 Saavanth Velury , Taylor L. Hughes

Diffusion, a ubiquitous phenomenon in nature, is a consequence of particle number conservation and locality, in systems with sufficient damping. In this paper we consider diffusive processes in the bulk of Weyl semimetals, which are exotic…

Mesoscale and Nanoscale Physics · Physics 2014-02-05 Rudro R. Biswas , Shinsei Ryu

We consider theoretically surface plasmon polaritons in Weyl semimetals. These materials contain pairs of band touching points - Weyl nodes - with a chiral topological charge, which induces an optical anisotropy and anomalous transport…

Mesoscale and Nanoscale Physics · Physics 2016-06-15 Johannes Hofmann , Sankar Das Sarma

Weyl semimetals are a new paradigmatic topological phase of matter featuring a gapless spectrum. One of its most distinctive features is the presence of Fermi arc surface states. Here, we report on atomistic simulations of the dc…

Mesoscale and Nanoscale Physics · Physics 2018-03-20 Jose Chesta Lopez , Luis E. F. Foa Torres , Alvaro S. Nunez

Weyl semimetals have attracted significant interest in condensed matter physics and materials science, due to their unique electronic and topological properties. These characteristics not only deepen our understanding of fundamental quantum…

Insulating states can be topologically nontrivial, a well-established notion that is exemplified by the quantum Hall effect and topological insulators. By contrast, topological metals have not been experimentally evidenced until recently.…

Strongly Correlated Electrons · Physics 2018-01-09 Hsin-Hua Lai , Sarah E. Grefe , Silke Paschen , Qimiao Si

Weyl semimetals are three-dimensional, topologically protected, gapless phases which show exotic phenomena such as Fermi arc surface states or negative magnetoresistance. It is an open question whether interparticle interactions can turn…

Strongly Correlated Electrons · Physics 2021-03-24 Bernhard Irsigler , Tobias Grass , Jun-Hui Zheng , Mathieu Barbier , Walter Hofstetter

In recent years there has been a great interest in topological photonics and protected edge states. Here, we present a first principles method to compute topological invariants of three-dimensional gapless phases. Our approach allows to…

Optics · Physics 2023-03-30 G. R. Fonseca , F. R. Prudêncio , M. G. Silveirinha , P. A. Huidobro

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

In ultra-thin film of topological insulator, the hybridization between the top and bottom surfaces opens an energy gap and forms two degenerate quantum anomalous Hall states, which give rise to a quantum spin Hall state. In this paper, we…

Strongly Correlated Electrons · Physics 2016-05-10 S. A. Owerre

Smooth interfaces of topological systems are known to host massive surface states along with the topologically protected chiral one. We show that in Weyl semimetals these massive states, along with the chiral Fermi arc, strongly alter the…

Mesoscale and Nanoscale Physics · Physics 2021-10-13 Xin Lu , Dibya Kanti Mukherjee , Mark O. Goerbig

Weyl semimetals are arguably the most paradigmatic form of a gapless topological phase. While the stability of Weyl nodes, as quantified by their topological charge, has been extensively investigated, recent interest has shifted to the…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Siyu Chen , Adrien Bouhon , Robert-Jan Slager , Bartomeu Monserrat

The role of collective longitudinal modes, plasmons, in bulk hydrodynamic transport in Weyl semimetals is explored. In contrast to graphene, where these modes are gapless, plasmons in Weyl semimetals are gapped. This gap, however, can be…

Mesoscale and Nanoscale Physics · Physics 2025-04-16 Joan Bernabeu , Kitinan Pongsangangan , H. T. C. Stoof , Lars Fritz

Inspired by the discovery of quantum hall effect and topological insulator, topological properties of classical waves start to draw worldwide attention. Topological non-trivial bands characterized by non-zero Chern numbers are realized with…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Meng Xiao , Wen-Jie Chen , Wen-Yu He , Z. Q. Zhang , C. T. Chan

Weyl semimetals, featuring massless linearly dispersing chiral fermions in three dimensions, provide an excellent platform for studying the interplay of electronic interactions and topology, and exploring new correlated states of matter.…

Strongly Correlated Electrons · Physics 2021-03-03 Sarbajaya Kundu , David Sénéchal

Dirac-Weyl semimetals are unique three-dimensional (3D) phases of matter with gapless electrons and novel electrodynamic properties believed to be robust against weak perturbations. Here, we unveil the crucial influence of the disorder…

Mesoscale and Nanoscale Physics · Physics 2021-03-03 J. P. Santos Pires , B. Amorim , Aires Ferreira , İnanç Adagideli , Eduardo R. Mucciolo , J. M. Viana Parente Lopes

We show that Hamiltonians with Weyl points can be realized for ultracold atoms using laser-assisted tunneling in three-dimensional optical lattices. Weyl points are synthetic magnetic monopoles that exhibit a robust, three-dimensional…