Electrodynamic response of the type II Weyl semimetal YbMnBi2

Since the discovery of Dirac states in a wide range of materials spanning novel superconductors, graphene as well as topological insulators, a great deal of effort has been devoted to observe other types of elementary particles in condensed matter, like Majorana and Weyl fermions. The latter type of fermions may be understood as a pair of particles characterized by opposite chirality, as derived by the massless solution of the Dirac equation. We were triggered by the opportunity to exploit YbMnBi2 and EuMnBi2 as an arena in order to explore the optical response and chase the related fingerprints of a type II Weyl semimetal (i.e., in the Yb-based material) in contrast to its semimetal counterpart (i.e., the Eu compound).

Enlarged view: Figure 1.11
Fig. 1.11: (a) and (b) Temperature dependence of σ1(ω) in YbMnBi2 and EuMnBi2, respectively, in the energy interval relevant for the present discussion. The insets display the integrated spectral weight of both compounds at 300 and 10 K with double logarithmic scales. The thin dotted lines at 10 K indicate the extrapolation to zero conductance from the quasi-linear frequency dependence in σ1(ω). The cut with the frequency axis occurs at its origin only in the Yb-compound. (c) Normalized optical conductivity at 10 K with ω0 = 500 and 2500 cm-1 in YbMnBi2 and EuMnBi2, respectively. The dashed lines and plain arrows emphasize the linear frequency dependence of σ1(ω) in appropriate energy intervals and the relevant excitations for both compounds, respectively. We use for plain arrows and dashed lines in the main panel, the same color code as for the plain and dashed arrows in both insets, in order to emphasize their relationships. The left inset schematically shows the band structure close to one pair of Weyl nodes (appropriate for the Yb material), with the plain arrows indicating the transitions leading to the van Hove singularities in σ1(ω) and the dashed ones for the transitions between states with linear dispersion leading to σ1(ω) ~ ω. The right inset displays the situation of a gapped semimetal (appropriate for the Eu compound) with direct transitions (plain arrows) and transitions between states with vestige of the linear dispersion (dashed arrow) so that also σ1(ω) ~ ω.

Our optical experiment (Fig. 1.11) provides evidence for two intervals with a linear frequency dependence of the real part (σ1(ω)) of the optical conductivity in the Yb material, with the slope of the low-energy larger than the one of the high-energy interval. Both linear frequency dependences of σ1(ω) extrapolate to zero conductivity at the origin of the frequency axis. These features together with characteristic van Hove singularities are the major optical signatures of Weyl fermions. Indeed, in the Eu compound only one linear frequency dependence can be clearly identified at high frequencies, which cuts the frequency axis at a finite value and thus indicates its gapped nature. Overall, our comparative study broadly images the theoretical expectations within a minimum, simplified scenario tailored for type I Weyl fermions, but also calls for its extension to the case of type II Weyl semimetals, where the tilting of the single Dirac cone and the presence of broken time reversal symmetry are taken into account.

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