Detailed study on the Fermi surfaces of the type-II Dirac semimetallic candidates PdTe2 and PtTe2

Abstract

We present a detailed quantum oscillatory study on the Dirac type-II semimetallic candidates PdTe${}_2$ and PtTe${}_2$ \emph{via} the temperature and the angular dependence of the de Haas-van Alphen (dHvA) and Shubnikov-de Haas (SdH) effects. In high quality single crystals of both compounds, i.e. displaying carrier mobilities between $10^3$ and $10^4$ cm${}^2$/Vs, we observed a large non-saturating magnetoresistivity (MR) which in PtTe${}_2$ at a temperature $T=1.3$ K, leads to an increase in the resistivity up to $5\times 10^4$ % under a magnetic field $\hat{I}{¼}_{0}H=62$ T. These high mobilities correlate with their light effective masses in the range of 0.04 to 1 bare electron mass according to our measurements. For PdTe${}_2$ the experimentally determined Fermi surface cross-sectional areas show an excellent agreement with those resulting from band-structure calculations. Surprisingly, this is not the case for PtTe${}_2$ whose agreement between calculations and experiments is relatively poor even when electronic correlations are included in the calculations. Therefore, our study provides a strong support for the existence of a Dirac type-II node in PdTe${}_2$ and probably also for PtTe${}_2$. Band structure calculations indicate that the topologically non-trivial bands of PtTe${}_2$ do not cross the Fermi-level (${\epsilon }_F$). In contrast, for PdTe${}_2$ the Dirac type-II cone does intersect ${\epsilon }_F$, although our calculations also indicate that the associated cyclotron orbit on the Fermi surface is located in a distinct $k_z$ plane with respect to the one of the Dirac type-II node. Therefore it should yield a trivial Berry-phase.

11 pages, 9 figures