Optical measurements and band structure calculations are reported on three-dimensional Dirac materials. The electronic properties associated with the Dirac cone are identified in the reflectivity spectra of Cd3As2 and Na3Bi single crystals. In Na3Bi, the plasma edge is found to be strongly temperature dependent due to thermally excited free carriers in the Dirac cone. The thermal behavior provides an estimate of the Fermi level E-F = 25 meV and the z-axis Fermi velocity v(z) = 0.3 eV angstrom associated with the heavy bismuth Dirac band. At high energies above the Gamma-point Lifshitz gap energy, a frequency-and temperature-independent epsilon(2) indicative of Dirac cone interband transitions translates into an ab-plane Fermi velocity of 3 eV angstrom. The observed number of IR phonons rules out the P6(3)/mmc space-group symmetry but is consistent with the P (3) over bar c1 candidate symmetry. A plasmaron excitation is discovered near the plasmon energy that persists over a broad range of temperature. The optical signature of the large joint density of states arising from saddle points at Gamma is strongly suppressed in Na3Bi, consistent with band structure calculations that show the dipole transition-matrix elements to be weak due to the very small s-orbital character of the Dirac bands. In Cd3As2, a distinctive peak in reflectivity due to the logarithmic divergence in epsilon(1) expected at the onset of Dirac cone interband transitions is identified. The center frequency of the peak shifts with temperature quantitatively consistent with a linear dispersion and a carrier density of n = 1.3 x 10(17) cm(-3). The peak width gives a measure of the Fermi-velocity anisotropy of 10\%, indicating a nearly spherical Fermi surface. The line shape gives an upper bound estimate of 7 meV for the potential fluctuation energy scale.

}, keywords = {arcs, discovery, majorana fermions, metal, mobility, semiconductor, spectrum, superconductor, topological insulators, weyl fermion semimetal}, issn = {2469-9950}, doi = {10.1103/PhysRevB.94.085121}, author = {Jenkins, G. S. and Lane, C. and Barbiellini, B. and Sushkov, A. B. and Carey, R. L. and Liu, Fengguang and Krizan, J. W. and Kushwaha, S. K. and Gibson, Q. and Chang, Tay-Rong and Jeng, Horng-Tay and Lin, Hsin and Cava, R. J. and Bansil, A. and Drew, H. D.} } @article {xu_lifshitz_2015, title = {Lifshitz transition and {Van} {Hove} singularity in a three-dimensional topological {Dirac} semimetal}, journal = {Physical Review B}, volume = {92}, number = {7}, year = {2015}, note = {WOS:000359344100002}, month = {08/2015}, pages = {075115}, abstract = {A three-dimensional (3D) Dirac semimetal is a novel state of quantum matter which has recently attracted much attention as an apparent 3D version of graphene. In this paper, we report results on the electronic structure of the 3D Dirac semimetal Na3Bi at a surface that reveals its nontrivial ground state. Our studies reveal that the two 3D Dirac cones go through a topological change in the constant energy contour as a function of the binding energy, featuring a Lifshitz point, which is missing in a strict 3D analog of graphene. Our results identify an example of a band saddle-point singularity in 3D Dirac materials. This is in contrast to its two-dimensional analogs such as graphene and the Dirac surface states of a topological insulator. The observation of multiple Dirac nodes in Na3Bi connecting via a Lifshitz point along its crystalline rotational axis away from the Kramers point serves as a decisive signature for the symmetry-protected nature of the Dirac semimetal\&$\#$39;s topological bulk ground state.

}, doi = {10.1103/PhysRevB.92.075115}, author = {Xu, Su-Yang and Liu, Chang and Belopolski, I. and Kushwaha, S. K. and Sankar, R. and Krizan, J. W. and Chang, T.-R. and Polley, C. M. and Adell, J. and Balasubramanian, T. and Miyamoto, K. and Alidoust, N. and Bian, Guang and Neupane, M. and Jeng, H.-T. and Huang, C.-Y. and Tsai, W.-F. and Okuda, T. and Bansil, A. and Chou, F. C. and Cava, R. J. and Lin, H. and Hasan, M. Z.} }