Minimal models for topological Weyl semimetals

McCormick, Timothy M.; Kimchi, Itamar; Trivedi, Nandini

doi:10.1103/physrevb.95.075133

Cited by 104 publications

(87 citation statements)

References 56 publications

(75 reference statements)

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“…For γ > v F , Eqn. (1) describes an electron and a hole pocket that are unbounded and never close at large k. Since various aspects of type-II Weyl semimetals are strongly dependent on the nature of the extended Fermi pockets surrounding the nodes 60 , it is necessary to instead consider a lattice model.…”

Section: Modelmentioning

confidence: 99%

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Semiclassical theory of anomalous transport in type-II topological Weyl semimetals

2017

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Weyl semimetals possess low energy excitations which act as monopoles of Berry curvature in momentum space. These emergent monopoles are at the heart of the extensive novel transport properties that Weyl semimetals exhibit. The singular nature of the Berry curvature around the nodal points in Weyl semimetals allows for the possibility of large anomalous transport coefficients in zero applied magnetic field. Recently a new class, termed type-II Weyl semimetals, has been demonstrated in a variety of materials, where the Weyl nodes are tilted. We present here a study of anomalous transport in this new class of Weyl semimetals. We find that the parameter governing the tilt of these type-II Weyl points is intimately related to the zero field transverse transport properties. We also find that the temperature dependence of the chemical potential plays an important role in determining how the transport coefficients can effectively probe the Berry curvature of the type-II Weyl points. We also discuss the experimental implications of our work for time-reversal breaking type-II Weyl semimetals.

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Section: Modelmentioning

confidence: 99%

“…Motivated in part by some of these experimental puzzles, we study anomalous transport in a lattice model of a time-reversal breaking Weyl semimetal 60 . The model we use allows for tuning through the type-I to type-II transition as well as between different type-II phases with distinct Fermi surface connectivities.…”

Section: Introductionmentioning

confidence: 99%

Semiclassical theory of anomalous transport in type-II topological Weyl semimetals

2017

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“…If (in 3-dimensional or 1-dimensional system) the 4-fold degeneracy is lifted and separates into a pair of 2-fold degeneracy with opposite well defined chiralities (Weyl points), either by breaking time-reversal or inversion symmetry, it becomes the so-called Weyl semimetal (WSM). Minimal models as well as the stability of WSMs have also been investigated 7, 8 . Due to the linear energy dispersions, both the DSMs and the WSMs will exhibit ultrahigh mobility and large unsaturated positive magnetoresistivity (MR) with linear dependence on the external magnetic field 9 .…”

Section: Introductionmentioning

confidence: 99%

Electronic structure and topological properties of centrosymmetric MoAs2/WAs2 from first principles

Chen

Dai

et al. 2017

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We investigate the electronic structure of group VI-B transition metal di-arsenides (TAs2, T = Mo, W). By comparing the formation energies, the centrosymmetric di-arsenides compounds are energetically more stable, in contrast to the di-phosphorides (MoP2/WP2). Both compounds can be well described by a two-band model with a pair of well-separated electron/hole bands. The electron/hole carrier density is nearly compensated in MoAs2 (|n e − n h|/n h < 1%). The classification for all partially occupied bands are topologically strong (1;001), and therefore robust surface states are expected in these materials. Using the adaptive K-mesh method, no energy degenerate state could be found except the spin degeneracy in the whole Brillouin zone, excluding the possibility of intrinsic Dirac or Weyl points near the Fermi level in the system.

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“…Ignited by the explicit materials prediction of overtilted (a.k.a. type-II) Weyl cones in the bandstucture of WTe 2 [15]-a material that has also before this prediction received ample attention due to its remarkable transport properties, including a record breaking magnetoresistence [20]-there is a present surge of experimental [21][22][23][24][25][26][27][28] and theoretical [29][30][31][32][33][34][35][36][37][38] studies of type-II Weyl systems.…”

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confidence: 99%

Field-Selective Anomaly and Chiral Mode Reversal in Type-II Weyl Materials

2016

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Three-dimensional condensed matter incarnations of Weyl fermions generically have a tilted dispersion-in sharp contrast with their elusive high-energy relatives where a tilt is forbidden by Lorentz invariance, and with the low-energy excitations of two-dimensional graphene sheets where a tilt is forbidden by either crystalline or particle-hole symmetry. Very recently, a number of materials (MoTe2, LaAlGe and WTe2) have been identified as hosts of so-called type-II Weyl fermions whose dispersion is so strongly tilted that a Fermi surface is formed, whereby the Weyl node becomes a singular point connecting electron and hole pockets. We here predict that these systems have remarkable properties in presence of magnetic fields. Most saliently, we show that the nature of the chiral anomaly depends crucially on the relative angle between the applied field and the tilt, and that an inversion-asymmetric overtilting creates an imbalance in the number of chiral modes with positive and negative slopes. The field-selective anomaly gives a novel magneto-optical resonance, providing an experimental way to detect concealed Weyl nodes. [6,7], and have by now been confirmed to exist as quasi-particles in a rapidly growing list of materials displaying remarkable properties including topological Fermi arc surface states [4, 6-8] and a condensed matter incarnation of the chiral anomaly when exposed to external electromagnetic fields [9][10][11][12].The Weyl Hamiltonian pertinent to condensed matter,

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Minimal models for topological Weyl semimetals

Cited by 104 publications

References 56 publications

Semiclassical theory of anomalous transport in type-II topological Weyl semimetals

Semiclassical theory of anomalous transport in type-II topological Weyl semimetals

Electronic structure and topological properties of centrosymmetric MoAs2/WAs2 from first principles

Field-Selective Anomaly and Chiral Mode Reversal in Type-II Weyl Materials

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