Erratum: Optical and transport properties in three-dimensional Dirac and Weyl semimetals [Phys. Rev. B93, 085426 (2016)]

Abstract

Within a Kubo formalism, we study dc transport and ac optical properties of 3D Dirac and Weyl semimetals. Emphasis is placed on the approach to charge neutrality and on the differences between Dirac and Weyl materials. At charge neutrality, the zero-temperature limit of the dc conductivity is not universal and also depends on the residual scattering model employed. However, the Lorenz number L retains its usual value L0. With increasing temperature, the Wiedemann-Franz law is violated. At high temperatures, L exhibits a new plateau at a value dependent on the details of the scattering rate. Such details can also appear in the optical conductivity, both in the Drude response and interband background. In the clean limit, the interband background is linear in photon energy and always extrapolates to the origin. This background can be shifted to the right through the introduction of a massless gap. In this case, the extrapolation can cut the axis at a finite photon energy as is observed in some experiments. It is also of interest to differentiate between the two types of Weyl semimetals: those with broken time-reversal symmetry and those with broken spatialinversion symmetry. We show that, while the former will follow the same behaviour as the 3D Dirac semimetals, for the zero magnetic field properties discussed here, the latter type will show a double step in the optical conductivity at finite doping and a single absorption edge at charge neutrality. The Drude conductivity is always finite in this case, even at charge neutrality.

Anomalous thermoelectric phenomena in lattice models of multi-Weyl semimetals

“…(This finding is also in agreement with the results in Ref. [61].) Last but not least, let us briefly discuss the relevance of the obtained results for Weyl semimetals with a broken inversion, but intact TR symmetry.…”

Optical Response of MoTe2 and WTe2 Weyl Semimetals: Distinguishing between Bulk and Surface Contributions

“…Although the appearance of peaks in the optical spectra is due to interband transitions, the observed linear increase with frequency may be attributed to the Dirac-like energy spectra of these 3D materials, as shown by effective models calculations within the linear response Kubo approach. [45][46][47] Our calculated results agree reasonably well with the previously reported experimental measurements [43] for bulk WTe 2 . For example, the peaks at about 240 meV and 1.6 eV of Re xx , and the peaks at about 240 meV, 750 meV, and 1.25 eV of Re yy , respectively, are measured and reported in ref.…”

Optical signature of Weyl electronic structures in tantalum pnictides TaPn ( Pn= P, As)

“…According to theoretical calculations, when the Weyl point is located far from E F , not only does the Drude weight remain at zero temperature, but also a step appears in the ω-linear component of the σ(ω) spectra 23,24 . The energy of the step is twice that of the Weyl point to E F .…”