Quantum transport properties of the topological Dirac semimetal \ensuremath{\alpha}-Sn (2024)

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  Figure 1

  Temperature dependences of the resistivity (ρ) and the thermoelectric power ($S$) of 200-nm-thick α-Sn thin film where the current ($J$) or thermal gradient ($\nabla T$) is applied parallel to the $a$ axis. Inset shows low-temperature thermoelectric power data.

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  Figure 2

  (a) Normalized magnetoresistance vs magnetic field of α-Sn for selected temperatures when both magnetic field and current are applied parallel to the $a$ axis ($B$ || $j$). Magnetothermopower of α-Sn measured with the configuration of applied thermal gradient and magnetic field parallel to the $a$ axis ($\nabla T\left|\right|B$), (b) at low temperatures, and (c) at high temperatures.

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  Figure 3

  (a) The electronic band structure of α-Sn in the presence of spin-orbit coupling using density functional theory (DFT) over the full Brillouin zone (BZ); the BZ is shown in (c); the closer look along $M$ → $\mathrm{\Gamma }\to Z$ is shown in (b). (d) The two-dimensional (2D) band structure in the ($k_x-k_z$) plane illustrates the position of two Dirac points at (0,0, $\pm k_z$). (e) Magnetoresistance at θ = 0° magnetic field orientations, influenced by Fermi surface topology.

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  Figure 4

  (a) Resistivity (${\rho }_{xx}$) in function of magnetic field ($B$) of Dirac semimetal α-Sn for selected angles ($\theta$, where $\theta$ is the angle between $j$ and $B$) at a constant temperature 60 K. (b) Magnetothermopower $\left[S_{xx}\left(B\right)\right]$ of α-Sn for selected angles ($\theta$, where $\theta$ is the angle between $\nabla T$ and $B$) at a constant temperature 60 K.

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  Figure 5

  (a) Conductivity ($\sigma$) in function of square of magnetic field ($B$) of α-Sn for several temperatures. For the sake of clarity, starting from $\sigma \left(B^2\right)$ for $T$ = 38 K, the curves are successively shifted vertically by ${10}^2{\mathrm{\Omega }}^{-1}\mathrm{c}{\mathrm{m}}^{-1}$ each for sake of clarity. (b) Normalized thermopower $S$($B$) of α-Sn for selected temperatures. The dashed line in both panels shows the fit as calculated from Eqs.(2) and (3).

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  Figure 6

  The ratio of intervalley Weyl scattering time to Drude relaxation time (${\tau }_i$/τ) of the α-Sn sample as a function of temperatures with the current ($j$) or thermal gradient ($\nabla T$) along with the magnetic field applied parallel to the $a$ axis.

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