Distinguishing the gapped and Weyl semimetal scenario in ZrTe${}_5$: insights from an effective two-band model

Abstract

Here we study the static and dynamic transport properties of a low energy two-band model proposed previously in E. Martino et al. [PRL 122, 217402 (2019), arXiv:1905.00280], with an anisotropic in-plane linear momentum dependence, and a parabolic out-of-plane dispersion. The model is extended to include a negative band gap, which leads to the emergence of a Weyl semimetal (WSM) state, as opposed to the gapped semimetal (GSM) state when the band gap is positive. We calculate and compare the zero and finite frequency transport properties of the GSM and WSM cases. The $dc$ properties that are calculated for the GSM and WSM cases are Drude spectral weight, mobility and resistivity. We determine their dependence on the Fermi energy and crystal direction. The in- and out-of-plane optical conductivities are calculated in the limit of the vanishing interband relaxation rate for both semimetals. The main common features are an ${\omega }^{1/2}$ in-plane and ${\omega }^{3/2}$ out-of-plane frequency dependence of the optical conductivity. We seek particular features related to the charge transport that could unambiguously point to one ground state over the other, based on the comparison with the experiment. Differences between the WSM and GSM are in principle possible only at extremely low carrier concentrations, and at low temperatures.

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• Quantum oscillations and three-dimensional quantum Hall effect in ZrTe${}_5$
• Gapped Dirac semimetal with mixed linear and parabolic dispersions
• Evidence of 3D Dirac conical bands in TlBiSSe by optical and magneto-optical spectroscopy
• Carrier concentrations and optical conductivity of a band-inverted semimetal in two and three dimensions
• Optical conductivity and resistivity in a four-band model for ZrTe${}_5$ from ab-initio calculations
• Magnetic field driven Lifshitz transition and one-dimensional Weyl nodes in three-dimensional pentatellurides
• Magneto-optic signatures in the gapped Dirac semimetal with mixed linear and parabolic dispersions of ZrTe5
• Spin-Triplet Excitonic Insulator in the Ultra-Quantum Limit of HfTe5
• Disorder induced dynamical interband response in Dirac nodal line semimetals