Skip to main content Accessibility help

Topological quantum materials

  • Kang L. Wang (a1), Yingying Wu (a2), Christopher Eckberg (a3), Gen Yin (a4) and Quanjun Pan (a5)...


Topological quantum materials are a class of compounds featuring electronic band structures, which are topologically distinct from common metals and insulators. These materials have emerged as exceptionally fertile ground for materials science research. The topologically nontrivial electronic structures of these materials support many interesting properties, ranging from the topologically protected states, manifesting as high mobility and spin-momentum locking, to various quantum Hall effects, axionic physics, and Majorana modes. In this article, we describe different topological matters, including topological insulators, Weyl semimetals, twisted graphene, and related two-dimensional Chern magnetic insulators, as well as their heterostructures. We focus on recent materials discoveries and experimental advancements of topological materials, and their heterostructures. Finally, we conclude with prospects for the discovery of additional topological materials for studying quantum processes, quasiparticles and their composites, as well as exploiting potential applications of these materials.



Hide All
1.Streda, P., Von Klitzing, K., J. Phys. C Solid State Phys. 17, L483 (1984).
2.Thouless, D.J., Kohmoto, M., Nightingale, M.P., den Nijs, M., Phys. Rev. Lett. 49, 405 (1982).
3.Haldane, F.D.M., Phys. Rev. Lett. 61, 2015 (1988).
4.Kane, C.L., Mele, E.J., Phys. Rev. Lett. 95, 226801 (2005).10.1103/PhysRevLett.95.226801
5.König, M., Wiedmann, S., Brüne, C., Roth, A., Buhmann, H., Molenkamp, L.W., Qi, X.-L., Zhang, S.-C., Science 318, 766 (2007).
6.Ivan, K., Du, R.-R., Front. Phys. 7, 200 (2012).
7.Hsieh, D., Qian, D., Wray, L., Xia, Y., Hor, Y.S., Cava, R.J., Hasan, M.Z., Nature 452, 970 (2008).
8.Zhang, H., Liu, C.-X., Qi, X.-L., Dai, X., Fang, Z., Zhang, S.-C., Nat. Phys. 5, 438 (2009).
9.Chen, Y., Analytis, J.G., Chu, J.-H., Liu, Z., Mo, S.-K., Qi, X.-L., Zhang, H., Lu, D., Dai, X., Fang, Z., Zhang, S.C., Fisher, I.R., Hussain, Z., Shen, Z.-X., Science 325, 178 (2009).
10.Hsieh, D., Xia, Y., Qian, D., Wray, L., Meier, F., Dil, J.H., Osterwalder, J., Patthey, L., Fedorov, A.V., Lin, H., Bansil, A., Grauer, D., Hor, Y.S., Cava, R.J., Hasan, M.Z., Phys. Rev. Lett. 103, 146401 (2009).
11.Chang, C.-Z., Zhang, J., Feng, X., Shen, J., Zhang, Z., Guo, M., Li, K., Ou, Y., Wei, P., Wang, L.-L., Ji, Z., Feng, Y., Ji, S., Chen, X., Jia, J., Dai, X., Fang, Z., Zhang, S.-C., He, K., Wang, Y., Lu, L., Ma, X.-C., Xue, Q.-K., Science 340, 167 (2013).
12.Kou, X., Guo, S.-T., Fan, Y., Pan, L., Lang, M., Jiang, Y., Shao, Q., Nie, T., Murata, K., Tang, J., Wang, Y., He, L., Lee, T.-K., Lee, W.-L., Wang, K.L., Phys. Rev. Lett. 113, 137201 (2014).
13.Chang, C.-Z., Zhao, W., Kim, D.Y., Zhang, H., Assaf, B.A., Heiman, D., Zhang, S.-C., Liu, C., Chan, M.H., Moodera, J.S., Nat. Mater. 14, 473 (2015).
14.Mogi, M., Kawamura, M., Tsukazaki, A., Yoshimi, R., Takahashi, K.S., Kawasaka, M., Tokura, Y., Sci. Adv. 3, eaao1669 (2017).
15.He, Q.L., Pan, L., Stern, A.L., Burks, E.C., Che, X., Yin, G., Wang, J., Lian, B., Zhou, Q., Choi, E.S., Murata, K., Kou, X., Chen, Z., Nie, T., Shao, Q., Fan, Y., Zhang, S.-C., Liu, K., Xia, J., Wang, K.L., Science 357, 294 (2017).
16.Nomura, K., Nagaosa, N., Phys. Rev. Lett. 106, 166802 (2011).
17.Essin, A.M., Moore, J.E., Vanderbilt, D., Phys. Rev. Lett. 102, 146805 (2009).
18.Wilczek, F., Phys. Rev. Lett. 58, 1799 (1987).
19.Qi, X.-L., Hughes, T.L., Zhang, S.-C., Phys. Rev. B 78, 195424 (2008).
20.Qi, X.-L., Hughes, T.L., Zhang, S.-C., Phys. Rev. B 82, 184516 (2010).
21.Fu, L., Kane, C.L., Phys. Rev. Lett. 100, 096407 (2008).
22.Xu, S.-Y., Belopolski, I., Alidoust, N., Neupane, M., Bian, G., Zhang, C., Sankar, R., Chang, G., Yuan, Z., Lee, C.-C., Huang, S.-M., Zheng, H., Ma, J., Sanchez, D.S., Wang, B., Bansil, A., Chou, F, Shibayev, P.P., Lin, H., Jia, S., Hasan, M.Z., Science 349, 613 (2015).
23.Klotz, J., Wu, S.-C., Shekhar, C., Sun, Y., Schmidt, M., Nicklas, M., Baenitz, M., Uhlarz, M., Wosnitza, J., Felser, C., Yan, B., Phys. Rev. B 93, 121105 (2016).
24.Liu, D.F., Liang, A.J., Liu, E.K., Xu, Q.N., Li, Y.W., Chen, C., Pei, D., Shi, W.J., Mo, S.K., Dudin, P., Kim, T., Cacho, C., Li, G., Sun, Y., Yang, L.X., Liu, Z.K., Parkin, S.S.P., Felser, C., Chen, Y.L., Science 365, 1282 (2019).
25.Morali, N., Batabyal, R., Nag, P.K., Liu, E., Xu, Q., Sun, Y., Yan, B., Felser, C., Avraham, N., Beidenkopf, H., Science 365, 1286 (2019).
26.Belopolski, I., Manna, K., Sachez, D.S., Chang, G., Ernst, B., Yin, J., Zhang, S.S., Cochran, T., Shumoya, N., Zheng, H., Singh, B., Bian, G., Multerm, D.Litkevich, M., Zhou, X., Huang, S.-M., Wang, B., Chang, T.-R., Xu, S.-Y., Bansil, A., Felser, C., Lin, H., Hasan, M.Z., Science 365, 1278 (2019).
27.Gooth, J., Bradlyn, B., Honnali, S., Schindler, C., Kumar, N., Noky, J., Qi, Y., Shekhar, C., Sun, Y., Wang, Z., Bernevig, B.A., Felser, C., Nature 575, 315 (2019).
28.Sharpe, A.L., Fox, E.J., Barnard, A.W., Finney, J., Watanabe, K., Taniguchi, T., Kastner, M.A., Gordon, D.G., Science 365, 6453 (2019).
29.Serlin, M., Tschirhart, C., Polshyn, H., Zhang, Y., Zhu, J., Watanabe, K., Taniguchi, T., Balents, L., Young, A., Science 367, aay5533 (2019).
30.Qian, X., Liu, J., Fu, L., Li, J., Science 346, 1344 (2014).
31.Wu, S., Fatemi, V., Gibson, Q.D., Watanabe, K., Taniguchi, T., Cava, R.J., Jarillo-Herrero, P., Science 359, 76 (2018).
32.Deng, Y., Yu, Y., Shi, M.Z., Guo, Z., Xu, Z., Wang, J., Chen, X.H., Zhang, Y., Science 367, aax8156 (2020).
33.Ge, J., Liu, Y., Li, J., Li, H., Luo, T., Wu, Y., Xu, Y., Wang, J., arXiv preprint arXiv:1907.09947 (2019).
34.Liu, C., Wang, Y., Li, H., Wu, Y., Li, Y., Li, J., He, K., Xu, Y., Zhang, J., Wang, Y., Nat. Mater. 1 (2020).
35.Hu, C., Zhou, X., Liu, P., Liu, J., Hao, P., Emmanouilidou, E., Sun, H., Liu, Y., Brawer, H., Ramirez, A.P., Cao, H., Liu, Q., Dessau, D., Ni, N., arXiv preprint arXiv:1905.02154 (2019).
36.Sun, H., Xia, B., Chen, Z., Zhang, Y., Liu, P., Yao, Q., Tang, H., Zhao, Y., Xu, H., Liu, Q., Phys. Rev. Lett. 123, 096401 (2019).
37.Liu, Z., Zhao, G., Liu, B., Wang, Z.F., Yang, J., Liu, F., Phys. Rev. Lett. 121, 246401 (2018).
38.Lian, B., Sun, X.-Q., Vaezi, A., Qi, S.-C., Zhang, X.-L., Proc. Natl. Acad. Sci. 115, 10938 (2018).
39.Mogi, M., Tsukazaki, A., Kaneko, Y., Yoshimi, R., Takahashi, K.S., Kawasaki, M., Tokura, Y., APL Mater . 6, 091104 (2018).
40.Chen, G., Sharpe, A.L., Fox, E.J., Zhang, Y.-H., Wang, S., Jiang, L., Lyu, B., Li, H., Watanabe, K., Taniguchi, T., Shi, Z., Senthil, T., Gordon, D.G., Zhang, Y., Wang, F., Nature 579 (7797), 56 (2020).
41.Zibrov, A.A., Kometter, C., Zhou, H., Spanton, E.M., Taniguchi, T., Watanabe, K., Zaletel, M.P., Young, A.F., Nature 549, 360 (2017).

Topological quantum materials

  • Kang L. Wang (a1), Yingying Wu (a2), Christopher Eckberg (a3), Gen Yin (a4) and Quanjun Pan (a5)...


Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed.