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In the ferromagnetic Weyl semimetal CeAlSi both space-inversion and time-reversal symmetries are broken. We use external pressure as an effective tuning parameter and relate three observations to the presence of a nontrivial topology in its…

In Weyl semimetals the application of parallel electric and magnetic fields leads to valley polarization -- an occupation disbalance of valleys of opposite chirality -- a direct consequence of the chiral anomaly. In this work, we present…

Mesoscale and Nanoscale Physics · Physics 2021-09-02 Pablo M. Perez-Piskunow , Nicandro Bovenzi , Anton R. Akhmerov , Maxim Breitkreiz

The Dirac and Weyl semimetals are unusual materials in which the nodes of the bulk states are protected against gap formation by crystalline symmetry. The chiral anomaly~\cite{Adler,Bell}, predicted to occur in both systems, was recently…

Strongly Correlated Electrons · Physics 2017-06-19 Max Hirschberger , Satya Kushwaha , Zhijun Wang , Quinn Gibson , Carina A. Belvin , B. A. Bernevig , R. J. Cava , N. P. Ong

Weyl semimetals are examples of a new class of topological states of matter which are gapless in the bulk with protected surface states. Their low energy sector is characterized by massless chiral fermions which are robust against…

Strongly Correlated Electrons · Physics 2015-06-22 Michael Phillips , Vivek Aji

The interplay between magnetic ordering and band topology has emerged as a fertile ground for discovering novel quantum states with profound implications for fundamental physics and next-generation electronics. Here, we theoretically…

Materials Science · Physics 2025-05-09 Qingqing Li , Li Chen , Run-Wu Zhang , Botao Fu

Characterized by the absence of inversion symmetry, non-centrosymmetric materials are of great interest because they exhibit ferroelectricity, second harmonic generation, emergent Weyl fermions, and other fascinating phenomena. It is…

Weyl semimetals are a three dimensional gapless topological phase in which bands intersect at arbitrary points -- the Weyl nodes -- in the Brillouin zone. These points carry a topological quantum number known as the \emph{chirality} and…

Strongly Correlated Electrons · Physics 2015-03-05 Pavan Hosur , Xiao-Liang Qi

Nontrivial topology in condensed matter systems enriches quantum states of matter, to go beyond either the classification into metals and insulators in terms of conventional band theory or that of symmetry broken phases by Landau's order…

The interplay between electronic interactions and strong spin-orbit coupling is expected to create a plethora of fascinating correlated topological states of quantum matter. Of particular interest are magnetic Weyl semimetals originally…

Weyl semimetals are extraordinary systems where exotic phenomena such as Fermi arcs, pseudo-gauge fields and quantum anomalies arise from topological band degeneracy in crystalline solids for electrons and metamaterials for photons and…

Mesoscale and Nanoscale Physics · Physics 2022-11-23 Li Luo , Hai-Xiao Wang , Bin Jiang , Ying Wu , Zhi-Kang Lin , Feng Li , Jian-Hua Jiang

The last decade has witnessed great advancements in the science and engineering of systems with unconventional band structures, seeded by studies of graphene and topological insulators. While the band structure of graphene simulates…

Strongly Correlated Electrons · Physics 2013-12-09 Pavan Hosur , Xiaoliang Qi

In the ferromagnetic (FM) Weyl semimetal CeAlSi both space-inversion and time-reversal symmetries are broken. Our quantum oscillation (QO) data indicate that the FM ordering modifies the Fermi surface topology and also leads to an unusual…

We review recent theoretical and experimental developments in magnetic Weyl semimetals, focusing on the electromagnetic responses emerging from the interplay of their electronic band topology and magnetism. We begin by introducing the…

Mesoscale and Nanoscale Physics · Physics 2026-03-25 Akihiro Ozawa , Yasufumi Araki , Koji Kobayashi , Kentaro Nomura

We present a study of "nodal semimetal" phases, in which non-degenerate conduction and valence bands touch at points (the "Weyl semimetal") or lines (the "line node semimetal") in three-dimensional momentum space. We discuss a general…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 A. A. Burkov , M. D. Hook , Leon Balents

Weyl semimetals (WSMs) are characterized by topologically stable pairs of nodal points in the band structure, that typically originate from splitting a degenerate Dirac point by breaking symmetries such as time reversal or inversion…

Strongly Correlated Electrons · Physics 2020-01-29 L. Crippa , A. Amaricci , N. Wagner , G. Sangiovanni , J. C. Budich , M. Capone

Weyl semimetals (WSM) have been extensively studied due to their exotic properties such as topological surface states and anomalous transport phenomena. Their band structure topology is usually predetermined by material parameters and can…

Weyl fermions, which are fermions with definite chiralities, can give rise to anomalous breaking of the symmetry of the physical system which they are a part of. In their (3+1)-dimensional realizations in condensed matter systems, i.e., the…

Mesoscale and Nanoscale Physics · Physics 2014-10-17 Jimmy A. Hutasoit , Jiadong Zang , Radu Roiban , Chao-Xing Liu

We report the discovery of a time-reversal symmetric Weyl semimetal obtained by modifying a model Hamiltonian describing the electronic properties of conventional alkali metals. The artificially generated Weyl semimetal features four…

Materials Science · Physics 2020-06-11 Joseba Goikoetxea , Jorge Bravo-Abad , Jaime Merino

We investigate an unconventional topological phase transition that occurs in quantum spin Hall (QSH) systems when applying an external in-plane magnetic field. We show that this transition between QSH and trivial insulator phases is…

Mesoscale and Nanoscale Physics · Physics 2022-05-02 Fernando Dominguez , Benedikt Scharf , Ewelina M. Hankiewicz

The propagation of light in Weyl semimetal films is analyzed. The magnetic family of these materials is known by anomalous Hall effect, which, being enhanced by the large Berry curvature, allows one to create strong gyrotropic and…

Mesoscale and Nanoscale Physics · Physics 2019-01-21 O. V. Kotov , Yu. E. Lozovik