Topological semimetals and metals have emerged as a new frontier in the field of quantum materials. Novel macroscopic quantum phenomena they exhibit are not only of fundamental interest, but may hold some potential for technological applications.
This is a preview of subscription content
Access options
Subscribe to Journal
Get full journal access for 1 year
$99.00
only $8.25 per issue
All prices are NET prices.
VAT will be added later in the checkout.
Tax calculation will be finalised during checkout.
Buy article
Get time limited or full article access on ReadCube.
$32.00
All prices are NET prices.



References
Hasan, M. Z. & Kane, C. L. Rev. Mod. Phys. 82, 3045 (2010).
Qi, X.-L. & Zhang, S.-C. Rev. Mod. Phys. 83, 1057 (2011).
Volovik, G. The Universe in a Helium Droplet (Oxford Univ. Press, 2003).
Haldane, F. D. M. Phys. Rev. Lett. 93, 206602 (2004).
Murakami, S. New J. Phys. 9, 356 (2007).
Wan, X., Turner, A. M., Vishwanath, A. & Savrasov, S. Y. Phys. Rev. B 83, 205101 (2011).
Yang, K.-Y., Lu, Y.-M. & Ran, Y. Phys. Rev. B 84, 075129 (2011).
Burkov, A. A. & Balents, L. Phys. Rev. Lett. 107, 127205 (2011).
Xu, G., Weng, H., Wang, Z., Dai, X. & Fang, Z. Phys. Rev. Lett. 107, 186806 (2011).
Witczak-Krempa, W. & Kim, Y. B. Phys. Rev. B 85, 045124 (2012).
Weng, H., Fang, C., Fang, Z., Bernevig, B. A. & Dai, X. Phys. Rev. X 5, 011029 (2015).
Huang, S.-M. et al. Nat. Commun. 6, 7373 (2015).
Young, S. M. et al. Phys. Rev. Lett. 108, 140405 (2012).
Wang, Z. et al. Phys. Rev. B 85, 195320 (2012).
Wang, Z., Weng, H., Wu, Q., Dai, X. & Fang, Z. Phys. Rev. B 88, 125427 (2013).
Liu, Z. K. et al. Science 343, 864–867 (2014).
Neupane, M. et al. Nat. Commun. 5, 3786 (2014).
Xu, S.-Y. et al. Science 349, 613–617 (2015).
Lv, B. Q. et al. Phys. Rev. X 5, 031013 (2015).
Lu, L. et al. Science 349, 622–624 (2015).
Herring, C. Phys. Rev. 52, 365 (1937).
Soluyanov, A. A. et al. Nature 527, 495–498 (2015).
Huang, L. et al. Preprint at https://arxiv.org/abs/1603.06482 (2016).
Fang, C., Gilbert, M. J., Dai, X. & Bernevig, B. A. Phys. Rev. Lett. 108, 266802 (2012).
Son, D. T. & Spivak, B. Z. Phys. Rev. B 88, 104412 (2013).
Burkov, A. A. Phys. Rev. B 91, 245157 (2015).
Xiong, J. et al. Science 350, 413–416 (2015).
Burkov, A. A. & Kim, Y. B. Phys. Rev. Lett. 117, 136602 (2016).
Fukushima, K., Kharzeev, D. E. & Warringa, H. J. Phys. Rev. D 78, 074033 (2008).
Vazifeh, M. M. & Franz, M. Phys. Rev. Lett. 111, 027201 (2013).
Chen, Y., Wu, S. & Burkov, A. A. Phys. Rev. B 88, 125105 (2013).
Hirschberger, M. et al. Nat. Mater. http://dx.doi.org/10.1038/nmat4684 (2016).
Chen, Q. & Fiete, G. A. Phys. Rev. B 93, 155125 (2016).
Spivak, B. Z. & Andreev, A. V. Phys. Rev. B 93, 085107 (2016).
Bednik, G., Zyuzin, A. A. & Burkov, A. A. Phys. Rev. B 92, 035153 (2015).
Li, Y. & Haldane, F. D. M. Preprint at https://arxiv.org/abs/1510.01730 (2015).
Maciejko, J. & Fiete, G. A. Nat. Phys. 11, 385–388 (2015).
Meng, T., Grushin, A. G., Shtengel, K. & Bardarson, J. H. Preprint at https://arxiv.org/abs/1602.08856 (2016).
Acknowledgements
Financial support was provided by the Natural Sciences and Engineering Research Council of Canada.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Burkov, A. Topological semimetals. Nature Mater 15, 1145–1148 (2016). https://doi.org/10.1038/nmat4788
Published:
Issue Date:
DOI: https://doi.org/10.1038/nmat4788
Further reading
-
Visualizing discrete Fermi surfaces and possible nodal-line to Weyl state evolution in ZrSiTe
npj Quantum Materials (2022)
-
Topological quantum materials for energy conversion and storage
Nature Reviews Physics (2022)
-
Robust dual topological insulator phase in NaZnBi
NPG Asia Materials (2022)
-
High-frequency rectifiers based on type-II Dirac fermions
Nature Communications (2021)
-
Topological phase transition between a normal insulator and a topological metal state in a quasi-one-dimensional system
Scientific Reports (2021)