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A wide range of materials, like d-wave superconductors, graphene, and topological insulators, share a fundamental similarity: their low-energy fermionic excitations behave as massless Dirac particles rather than fermions obeying the usual…

Materials Science · Physics 2014-08-27 T. O. Wehling , A. M. Black-Schaffer , A. V. Balatsky

Unidirectional transports have been observed in two-dimensional systems, however, so far they have not been experimentally observed in three-dimensional bulk materials. In this theoretical work we show that the recently discovered Weyl…

Strongly Correlated Electrons · Physics 2016-08-08 Ren Bi , Zhong Wang

We theoretically investigate the temperature-dependent static susceptibility and long-range magnetic coupling of three-dimensional (3D) chiral gapless electron-hole systems (semimetals) with arbitrary band dispersion [i.e., $\varepsilon(k)…

Mesoscale and Nanoscale Physics · Physics 2018-08-30 Sanghyun Park , Hongki Min , E. H. Hwang , S. Das Sarma

We investigate the strong-coupling phases that may arise in 3D Dirac and Weyl semimetals under the effect of the long-range Coulomb interaction, considering the many-body theory of these electron systems as a variant of the conventional…

Mesoscale and Nanoscale Physics · Physics 2015-12-17 J. Gonzalez

In a Weyl orbit, the Fermi arc surface states on opposite surfaces of the topological semimetal are connected through the bulk Weyl or Dirac nodes. Having a real-space component, these orbits accumulate a sample-size-dependent phase.…

Mesoscale and Nanoscale Physics · Physics 2019-05-08 Luca Galletti , Timo Schumann , David A. Kealhofer , Manik Goyal , Susanne Stemmer

We investigate a generalized two-dimensional Weyl Hamiltonian, which may describe the low-energy properties of mechanically deformed graphene and of the organic compound alpha-(BEDT-TTF)_2I_3 under pressure. The associated dispersion has…

Mesoscale and Nanoscale Physics · Physics 2008-07-16 M. O. Goerbig , J. -N. Fuchs , G. Montambaux , F. Piechon

Electrons in materials with linear dispersion behave as massless Weyl- or Dirac-quasiparticles, and continue to intrigue physicists due to their close resemblance to elusive ultra-relativistic particles as well as their potential for future…

We numerically study the effect of short ranged potential disorder on massless noninteracting three-dimensional Dirac and Weyl fermions, with a focus on the question of the proposed quantum critical point separating the semimetal and…

Disordered Systems and Neural Networks · Physics 2016-07-20 J. H. Pixley , David A. Huse , S. Das Sarma

The topological properties of fermions arise from their low-energy Dirac-like band dispersion and associated chiralities. Initially confined to points, extensions of the Dirac dispersion to lines and even loops have now been uncovered and…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 S. Pezzini , M. R. van Delft , L. Schoop , B. Lotsch , A. Carrington , M. I. Katsnelson , N. E. Hussey , S. Wiedmann

A two-dimensional (2D) Weyl semimetal featuring a spin-polarized linear band dispersion and a nodal Fermi surface is a new topological phase of matter. It is a solid-state realization of Weyl fermions in an intrinsic 2D system. The…

We propose two complementary design principles for engineering three-dimensional (3D) Weyl semimetals and superconductors in a layer-by-layer setup which includes even and odd parity orbitals in alternating layers - dubbed orbital selective…

Mesoscale and Nanoscale Physics · Physics 2013-07-31 Tanmoy Das

Weyl semimetals are novel topological conductors that host Weyl fermions as emergent quasiparticles. While the Weyl fermions in high-energy physics are strictly defined as the massless solution of the Dirac equation and uniquely fixed by…

Weyl semimetals are conductors whose low-energy bulk excitations are Weyl fermions, whereas their surfaces possess metallic Fermi arc surface states. These Fermi arc surface states are protected by a topological invariant associated with…

Materials Science · Physics 2017-02-24 M. Zahid Hasan , Su-Yang Xu , Ilya Belopolski , Shin-Ming Huang

The intersections of topology, geometry and strong correlations offer many opportunities for exotic quantum phases to emerge in condensed matter systems. Weyl fermions, in particular, provide an ideal platform for exploring the dynamical…

The ability to optically engineer the Dirac band and electrically control the Fermi level in two-dimensional (2D) Dirac systems, such as graphene, has significantly advanced quantum technologies. However, similar tunability has remained…

Materials Science · Physics 2025-01-29 Sobhan Subhra Mishra , Thomas CaiWei Tan , Manoj Gupta , Faxian Xiu , Ranjan Singh

Wide ranging interest in Dirac Hamiltomian is due to the emergence of novel materials, namely, graphene, topological insulators and superconductors, the newly-discovered Weyl semimetals, and still actively-sought after Majorana fermions in…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 Felix A. Buot , Roland E. S. Otadoy , Karla B. Rivero

Dirac semimetal (DSM) hosts four-fold degenerate isolated band-crossing points with linear dispersion, around which the quasiparticles resemble the relativistic Dirac Fermions. It can be described by a 4 * 4 massless Dirac Hamiltonian which…

Materials Science · Physics 2017-12-06 Cong Chen , Zefeng Su , Xiaoming Zhang , Ziyu Chen , Xian-Lei Sheng

We present a new type of three-dimensional essential Dirac semimetal with magnetic ordering. The Dirac points are protected by the magnetic space groups and cannot be gapped without lowering such symmetries, where the combined antiunitary…

Mesoscale and Nanoscale Physics · Physics 2017-01-05 Jing Wang

We report the electrical transport properties for Weyl semimetal TaAs in an intense magnetic field. Series of anomalies occur in the longitudinal magnetoresistance and Hall signals at ultra-low temperatures when the Weyl electrons are…

Mesoscale and Nanoscale Physics · Physics 2017-01-24 Cheng-Long Zhang , Bingbing Tong , Zhujun Yuan , Ziquan Lin , Junfeng Wang , Jinglei Zhang , Chuan-Ying Xi , Zhong Wang , Shuang Jia , Chi Zhang

In two-dimensional Dirac semimetals, massless Dirac fermions can form a series of Efimov-like quasibound states in an attractive Coulomb potential. In an applied magnetic field, these quasibound states can become bound states around the…

Mesoscale and Nanoscale Physics · Physics 2018-07-19 Mingyuan Sun