Condensed-matter systems provide a rich setting to realize Dirac1 and Majorana2 fermionic excitations as well as the possibility to manipulate them for potential applications3,4. It has recently been proposed that chiral, massless particles known as Weyl fermions can emerge in certain bulk materials5,6 or in topological insulator multilayers7 and give rise to unusual transport properties, such as charge pumping driven by a chiral anomaly8. A pair of Weyl fermions protected by crystalline symmetry effectively forming a massless Dirac fermion has been predicted to appear as low-energy excitations in a number of materials termed three-dimensional Dirac semimetals9,10,11. Here we report scanning tunnelling microscopy measurements at sub-kelvin temperatures and high magnetic fields on the II–V semiconductor Cd3As2. We probe this system down to atomic length scales, and show that defects mostly influence the valence band, consistent with the observation of ultrahigh-mobility carriers in the conduction band. By combining Landau level spectroscopy and quasiparticle interference, we distinguish a large spin-splitting of the conduction band in a magnetic field and its extended Dirac-like dispersion above the expected regime. A model band structure consistent with our experimental findings suggests that for a magnetic field applied along the axis of the Dirac points, Weyl fermions are the low-energy excitations in Cd3As2.
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Castro Neto, A. H., Peres, N. M. R., Novoselov, K. S. & Geim, A. K. The electronic properties of graphene. Rev. Mod. Phys. 81, 109–162 (2009).
Beenakker, C. W. J. Search for Majorana fermions in superconductors. Annu. Rev. Condens. Matter Phys. 4, 113–136 (2013).
Novoselov, K. S. et al. A roadmap for graphene. Nature 490, 192–200 (2012).
Nayak, C., Stern, A., Freedman, M. & Das Sarma, S. Non-Abelian anyons and topological quantum computation. Rev. Mod. Phys. 80, 1083–1159 (2008).
Wan, X., Turner, A. M., Vishwanath, A. & Savrasov, S. Y. Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates. Phys. Rev. B 83, 205101 (2011).
Xu, G., Weng, H., Wang, Z., Dai, X. & Fang, Z. Chern semimetal and the quantized anomalous Hall effect in HgCr2Se4 . Phys. Rev. Lett. 107, 186806 (2011).
Burkov, A. A. & Balents, L. Weyl semimetal in a topological insulator multilayer. Phys. Rev. Lett. 107, 127205 (2011).
Hosur, P. & Qi, X. Recent developments in transport phenomena in Weyl semimetals. C. R. Phys. 14, 857–870 (2013).
Young, S. M. et al. Dirac semimetal in three dimensions. Phys. Rev. Lett. 108, 140405 (2012).
Wang, Z. et al. Dirac semimetal and topological phase transitions in A3Bi (A = Na, K, Rb). Phys. Rev. B 85, 195320 (2012).
Wang, Z., Weng, H., Wu, Q., Dai, X. & Fang, Z. Three-dimensional Dirac semimetal and quantum transport in Cd3As2 . Phys. Rev. B 88, 125427 (2013).
Orlita, M. et al. Observation of three-dimensional massless Kane fermions in a zinc-blende crystal. Nature Phys. 10, 233–238 (2014).
Hasan, M. Z. & Kane, C. L. Colloquium: Topological insulators. Rev. Mod. Phys. 82, 3045–3067 (2010).
Potter, A. C., Kimchi, I. & Vishwanath, A. Quantum oscillations from surface Fermi-arcs in Weyl and Dirac semi-metals. Preprint at http://arXiv.org/abs/1402.6342 (2014)
Kharzeev, D. E. & Yee, H-U. Anomaly induced chiral magnetic current in a Weyl semimetal: Chiral electronics. Phys. Rev. B 88, 115119 (2013).
Liu, Z. K. et al. Discovery of a three-dimensional topological Dirac semimetal, Na3Bi. Science 343, 864–867 (2014).
Neupane, M. et al. Observation of a three-dimensional topological Dirac semimetal phase in high-mobility Cd3As2 . Nature Commun. 5, 3786 (2014).
Borisenko, S., Gibson, Q., Evtushinsky, D., Zabolotnyy, V. & Büchner, B. Experimental realization of a three-dimensional Dirac semimetal. Preprint at http://arXiv.org/abs/1309.7978 (2013)
Xu, S-Y. et al. Observation of a bulk 3D Dirac multiplet, Lifshitz transition, and nestled spin states in Na3Bi. Preprint at http://arXiv.org/abs/1312.7624 (2013)
Turner, W., Fischler, A. & Reese, W. Physical properties of several II–V semiconductors. Phys. Rev. 121, 759–767 (1961).
Radautsan, S. I., Arushanov, E. K. & Chuiko, G. P. The conduction band of cadmium arsenide. Phys. Status Solidi 20, 221–226 (1973).
Ali, M. N. et al. The crystal and electronic structures of Cd3As2, the 3D electronic analogue to graphene. Inorg. Chem. 53, 4062–4067 (2014).
Misra, S. et al. Design and performance of an ultra-high vacuum scanning tunneling microscope operating at dilution refrigerator temperatures and high magnetic fields. Rev. Sci. Instrum. 84, 103903 (2013).
Ashby, P. E. C. & Carbotte, J. P. Theory of magnetic oscillations in Weyl semimetals. Eur. Phys. J. B 87, 92 (2014).
Spitzer, D. P., Castellion, G. A. & Haacke, G. Anomalous thermal conductivity of Cd3As2 and the Cd3As2–Zn3As2 alloys. J. Appl. Phys. 37, 3795–3801 (1966).
Song, Y. J. et al. High-resolution tunnelling spectroscopy of a graphene quartet. Nature 467, 185–189 (2010).
Morgenstern, M., Klijn, J., Meyer, C. & Wiesendanger, R. Real-space observation of drift states in a two-dimensional electron system at high magnetic fields. Phys. Rev. Lett. 90, 056804 (2003).
Okada, Y., Serbyn, M., Lin, H. & Walkup, D. Observation of Dirac node formation and mass acquisition in a topological crystalline insulator. Science 341, 1496–1499 (2013).
Hanaguri, T., Igarashi, K. & Kawamura, M. Momentum-resolved Landau-level spectroscopy of Dirac surface state in Bi2Se3 . Phys. Rev. B 82, 081305 (2010).
Wright, A. R. & McKenzie, R. H. Quantum oscillations and Berry’s phase in topological insulator surface states with broken particle–hole symmetry. Phys. Rev. B 87, 085411 (2013).
Liang, T. et al. Ultrahigh mobility and giant magnetoresistance in Cd3As2: Protection from backscattering in a Dirac semimetal. Preprint at http://arXiv.org/abs/1404.7794 (2014)
Wallace, P. R. Electronic g-factor in Cd3As2 . Phys. Status Solidi 92, 49–55 (1979).
Liu, Z. K. et al. A stable three-dimensional topological Dirac semimetal Cd3As2 . Nature Mater. (2014)10.1038/nmat3990
The work at Princeton and the Princeton Nanoscale Microscopy Laboratory was supported by the ARO MURI programme W911NF-12-1-0461, DARPA-SPWAR Meso programme N6601-11-1-4110, NSF-DMR1104612, ONR- N00014-11-1-0635, and NSF-MRSEC NSF-DMR0819860 programmes.
The authors declare no competing financial interests.
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Jeon, S., Zhou, B., Gyenis, A. et al. Landau quantization and quasiparticle interference in the three-dimensional Dirac semimetal Cd3As2. Nature Mater 13, 851–856 (2014). https://doi.org/10.1038/nmat4023
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