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We study the electronic properties of strongly spin-orbit coupled electrons on the elastic pyrochlore lattice. Akin to the Peierls transition in one-dimensional systems, the coupling of the lattice to the electronic degrees of freedom can…

Mesoscale and Nanoscale Physics · Physics 2015-04-16 Tomáš Bzdušek , Andreas Rüegg , Manfred Sigrist

Ten years after the experimental discovery of Weyl semimetals, theoretical and experimental work has pointed to the possibility of realizing surface-only superconductivity at relatively high temperatures in these materials. A consensus is…

Superconductivity · Physics 2026-04-30 Riccardo Vocaturo , Mattia Trama

Topological quantum matter and spintronics research have been developed to a large extent independently. In this Review we discuss a new role that the antiferromagnetic order has taken in combining topological matter and spintronics. This…

Mesoscale and Nanoscale Physics · Physics 2017-04-06 L. Šmejkal , T. Jungwirth , J. Sinova

We investigate the charge and spin transport properties of a Weyl semimetal under an external magnetic field using a low-energy effective theory. By performing a chiral transformation, we remove the axial term from the fermionic Lagrangian,…

Mesoscale and Nanoscale Physics · Physics 2026-05-28 J. C. Pérez-Pedraza , A. Martín-Ruiz , L. F. Urrutia

Using the path integral formulation in Euclidean space, we extended the calculation of the abelian chiral anomalies in the case of Lorentz violating theories by considering a new fermionic correction term provided by the standard model…

Mesoscale and Nanoscale Physics · Physics 2021-06-30 Andrés Gómez , Luis Urrutia

Weyl semimetals exhibit exotic Fermi-arc surface states, which strongly affect their electromagnetic properties. We derive analytical expressions for all components of the composite density-spin response tensor for the surfaces states of a…

Mesoscale and Nanoscale Physics · Physics 2020-04-07 Sayandip Ghosh , Carsten Timm

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

Topological states of matter and their corresponding properties are classical research topics in condensed matter physics. Quite recently, the application of materials that feature these states has been extended to the field of…

Topological materials, such as topological insulators or semimetals, usually not only reveal the nontrivial properties of their electronic wavefunctions through the appearance of stable boundary modes, but also through very specific…

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…

Weyl semimetals are a new class of Dirac material that posses bulk energy nodes in three dimensions. In this paper, we study a Weyl semimetal subject to an applied magnetic field. We derive expressions for the density of states, electronic…

Strongly Correlated Electrons · Physics 2014-04-30 Phillip E. C. Ashby , J. P. Carbotte

For first-order topological semimetals, non-Hermitian perturbations can drive the Weyl nodes into Weyl exceptional rings having multiple topological structures and no Hermitian counterparts. Recently, it was discovered that higher-order…

Mesoscale and Nanoscale Physics · Physics 2021-11-11 Tao Liu , James Jun He , Zhongmin Yang , Franco Nori

Novel fermions with relativistic linear dispersion can emerge as low-energy excitations in topological semimetal materials. Here, we show that the orbital moment contribution in the circular photomagnetic effect for these topological…

Mesoscale and Nanoscale Physics · Physics 2024-07-12 Jin Cao , Chuanchang Zeng , Xiao-Ping Li , Maoyuan Wang , Shengyuan A. Yang , Zhi-Ming Yu , Yugui Yao

Weyl fermions are powerful yet simple entities that connect geometry, topology, and physics. While their existence as fundamental particles is still uncertain, growing evidence shows they emerge as quasiparticles in special materials called…

Mesoscale and Nanoscale Physics · Physics 2025-06-17 Azaz Ahmad

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…

We investigate the effect of the incommensurate potential on Weyl semimetal, which is proposed to be realized in ultracold atomic systems trapped in three-dimensional optical lattices. For the system without the Fermi arc, we find that the…

Disordered Systems and Neural Networks · Physics 2017-05-31 Yucheng Wang , Shu Chen

Topological metals continue to attract attention as novel gapless states of matter. While there by now exists an exhaustive classification of possible topologically nontrivial metallic states, their observable properties, that follow from…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 A. A. Burkov

Using a combination of analytical arguments and state-of-the-art diagrammatic Monte Carlo simulations we show that the corrections to the dispersion in interacting Weyl semimetals are determined by the ultraviolet cutoff and the inverse…

Strongly Correlated Electrons · Physics 2018-12-19 Johan Carlström , Emil J. Bergholtz

Magnetic Weyl semimetal (MWS) is a unique topological state with open surface Fermi arc states and other exotic transport phenomena. However, most reported MWSs show multiple pairs of Weyl points and complicated Fermi surfaces, which…

We discuss the modified quantum electrodynamics from a time-reversal-breaking Weyl semimetal coupled with a $U(1)$ gauge (electromagnetic) field. A key role is played by the soft dispersion of the photons in a particular direction, say…

Strongly Correlated Electrons · Physics 2023-02-01 Xuzhe Ying , A. A. Burkov , Chong Wang