Magneto-optic signatures in the gapped Dirac semimetal with mixed linear and parabolic dispersions of ZrTe5

Abstract

In this paper, we give a systematic theoretical study on the Landau levels (LLs) and magneto-optical conductivity Re$({\sigma }_{\alpha \alpha })$ in a gapped Dirac semimetal model with mixed linear and parabolic dispersions under a magnetic field, which was recently proposed by Jiang \textit{et al.} [Phys. Rev. Lett. {\bf125}, 046403 (2020)] to explain the experimental magnetoinfrared spectroscopy in the three-dimensional ZrTe${}_5$ crystal. We find that the strong magnetic field can drive the LLs become noninverted and thus the strong topological insulator phase in ZrTe${}_5$ turns to be a trivial insulator. In the different magnetic field regions, the density of states and Re$({\sigma }_{\alpha \alpha })$ can exhibit distinct signatures. Moreover, when the magnetic field is weak, a qualitative relation in Re$({\sigma }_{zz})$ between the peaks at the saddle points is revealed as Re$({\sigma }_{zz}^{{\zeta }_n})>$Re$({\sigma }_{zz}^{\Gamma })$, which is in good agreement with the experiment.

arXiv comment8 page2, 3 figures

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Cited by in corpus (4)

• Topological Lifshitz transition and one-dimensional Weyl mode in HfTe5
• Quantum oscillations and three-dimensional quantum Hall effect in ZrTe${}_5$
• Unconventional optical selection rules in ZrTe5 under an in-plane magnetic field
• Magnetic field driven Lifshitz transition and one-dimensional Weyl nodes in three-dimensional pentatellurides