2016
DOI: 10.1103/physrevb.93.045113
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Semimetal with both Rarita-Schwinger-Weyl and Weyl excitations

Abstract: A relativistic spinor with spin 3/2 is historically called Rarita-Schwinger spinor. The right- and left-handed chiral degrees of freedom for the massless Rarita-Schwinger spinor are independent and are thought of as the left- and right-Weyl fermion with helicity \pm3/2. We study three orbital spin-1/2 Weyl semimetals in the strong spin-orbital coupling limit with time reversal symmetry breaking. We find that in this limit the systems can be a J_{eff}=1/2 Weyl semimetal or a J_{eff}=3/2 semimetal, depending on … Show more

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Cited by 61 publications
(46 citation statements)
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“…Taken together with calculation, our experimental data show that we have realized the first Type II Weyl semimetal, with strongly Lorentz-violating Weyl fermions. We point out that in contrast to concurrent works on the Weyl semimetal state in MoTe 2 (refs 44, 45, 46, 47, 48, 49, 50, 51, 52), we directly access the unoccupied band structure of Mo x W 1− x Te 2 and directly observe a Weyl semimetal with minimal reliance on calculation. In particular, our observation of a surface state kink at a generic point in the surface Brillouin zone requires that the system be a Weyl semimetal42.…”
Section: Discussionmentioning
confidence: 84%
“…Taken together with calculation, our experimental data show that we have realized the first Type II Weyl semimetal, with strongly Lorentz-violating Weyl fermions. We point out that in contrast to concurrent works on the Weyl semimetal state in MoTe 2 (refs 44, 45, 46, 47, 48, 49, 50, 51, 52), we directly access the unoccupied band structure of Mo x W 1− x Te 2 and directly observe a Weyl semimetal with minimal reliance on calculation. In particular, our observation of a surface state kink at a generic point in the surface Brillouin zone requires that the system be a Weyl semimetal42.…”
Section: Discussionmentioning
confidence: 84%
“…As a generalization, the spin-1 excitation takes 3 × 3 spin matrices and holds a three-fold degeneracy (see 1(b)), its crossing point carries a topological charge ±2 because of no contribution from the middle band with the helicity 0 [32,33]. Spin-3/2 excitations are named as Rarita-Schwinger-Weyl (RSW) fermions [32,[34][35][36], and S takes 4×4 spin matrices. Its Fermi surface has to cross two bands near the crossing point, for example, the helicity 3/2 band with the Berry phase ±3 and the helicity 1/2 band with the Berry phase ±1 (see Fig.…”
mentioning
confidence: 99%
“…However, it is challenging to observe the extremely small Fermi arcs in WTe 2 because of the small separation of the Weyl points (0.7% of the Brillouin zone). Weyl fermions have also been predicted in the low-temperature phase of MoTe 2 with much larger Fermi arcs1011, and signatures of the Fermi arcs have been suggested in a combined angle-resolved photoemission spectroscopy (ARPES) and scanning tunnelling spectroscopy study12 and other ARPES studies1314151617. The existence of Weyl fermions has been relied on the assumption that the low-temperature phase of MoTe 2 is isostructural to the noncentrosymmetric T d phase of WTe 2 (refs 10, 11).…”
mentioning
confidence: 99%