2018
DOI: 10.1103/physrevb.97.041104
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Magnetic and noncentrosymmetric Weyl fermion semimetals in the RAlGe family of compounds ( R=rareearth

Abstract: Weyl semimetals are novel topological conductors that host Weyl fermions as emergent quasiparticles. In this paper, we propose a new type of Weyl semimetal state that breaks both time-reversal symmetry and inversion-symmetry in the RAlGe (R=Rare earth) family. Compared to previous predictions of magnetic Weyl semimetal candidates, the prediction of Weyl nodes in RAlGe are more robust and less dependent on the details of the magnetism, because the Weyl nodes are already generated by the inversion breaking and t… Show more

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Cited by 172 publications
(105 citation statements)
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“…If both inversion and time-reversal symmetries are broken, Weyl points may disappear by pair annihilation or they might still exist with changed position 36,37 . To examine the effect of the helical ordering on Weyl points, we performed a simple band calculation using the tight binding method (See Supplementary Fig.…”
Section: Discussionmentioning
confidence: 99%
“…If both inversion and time-reversal symmetries are broken, Weyl points may disappear by pair annihilation or they might still exist with changed position 36,37 . To examine the effect of the helical ordering on Weyl points, we performed a simple band calculation using the tight binding method (See Supplementary Fig.…”
Section: Discussionmentioning
confidence: 99%
“…The simplest examples of gapless topological phases are graphene [21] and d-wave superconductors [22][23][24] supporting topological flat bands at the edges. Three-dimensional topological semimetals with Dirac points [25][26][27], Weyl points [28][29][30][31][32][33][34][35][36][37], and Dirac lines [38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53] have been theoretically predicted and experimentally observed. Moreover, nodal topological band structures with topologically protected surface states can arise in superconductors with unconventional pairing symmetries [1,[54][55][56][57][58][59][60][61][62][63][64][65][66].…”
Section: Introductionmentioning
confidence: 99%
“…2019, 5, 1800466 Figure 9. [140,[143][144][145][146][147][148] Since the wavelengths of the Bloch waves of electrons in solidstate materials are comparable with the lattice constants of the crystals, the electronic properties of the solid-state materials based on the band structures of the electrons are rather sensitive to the lattice modulation, which in turn can be conveniently achieved by electric fields via functional FE materials. a,b) Schematics of the crystal and magnetic structures of the low-temperature noncollinear and the high-temperature collinear phases of Mn 3 Pt, respectively.…”
Section: What Is Beyondmentioning
confidence: 99%