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Higher-Order Topology in the Superconducting State of Nodal-Line Spin-Gapless Semimetals

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Abstract

We study the topological properties of a nodal-line spin gapless semimetal superconductor. In the normal state, the low energy states are completely spin polarized so that the \(p+ip\)-wave pairing symmetry is considered. In the superconducting state, the energy bands are fully gapped in both the system bulk and at the system surface. However, when two open boundaries are considered, the gapless states emerge at the system hinges, indicating that the system is actually a higher-order topological superconductor.

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References

  1. Novoselov, K.S., Geim, A.K., Morozov, S.V., Jiang, D., Zhang, Y., Dubonos, S.V., Grigorieva, I.V., Firsov, A.A.: Science 306, 666–669 (2004)

    Article  ADS  Google Scholar 

  2. Khadeeva, L.Z., Dmitriev, S.V., Kivshar, Y.S.: JETP Lett. 94, 539–543 (2011)

    Article  ADS  Google Scholar 

  3. Kandemir, B.S., Mogulkoc, A.: Eur. Phys. J. B. 74, 535–541 (2010)

    Article  ADS  Google Scholar 

  4. Zhang, Y., Gao, Z.D., Qi, Z., Zhu, S.N., Ming, N.B.: Phys. Rev. Lett. 100, 163904 (2008)

    Article  ADS  Google Scholar 

  5. Bian, G., Chang, T.R., Sankar, R., Xu, S.Y., Zheng, H., Neupert, T., Chiu, C.K., Huang, S.M., Chang, G., Belopolski, I.: Nat. Commun. 7, 10556 (2016)

    Article  ADS  Google Scholar 

  6. Bian, G., Chang, T.R., Zheng, H., Velury, S., Xu, S.Y., Neupert, T., Chiu, C.K., Sanchez, D.S., Belopolski, I., Alidoust, N.: Phys. Rev. B. 93, 121113(R) (2016)

    Article  ADS  Google Scholar 

  7. Du, Y., Bo, X., Wang, D., Kan, E.J., Duan, C.G., Savrasov, S.Y., Wan, X.: Phys. Rev. B. 96, 235152 (2017)

    Article  ADS  Google Scholar 

  8. Li, Y., Wu, Y., Xu, C., Liu, N., Ma, J., Lv, B., Yao, G., Liu, Y., Bai, H., Yang, X.: Sci. Bull. 66, 243–249 (2021)

    Article  Google Scholar 

  9. Li, Y., Wu, Z., Zhou, J., Bu, K., Xu, Z.A.: Phys. Rev. B 102, 224503 (2020)

    Article  ADS  Google Scholar 

  10. Jin, H., Tang, Z., Liu, J., Xue, L., Mao, Z.: Phys. Rev. Lett. 117, 016602 (2016)

    Article  ADS  Google Scholar 

  11. Zhang, D.W., Zhu, Y.Q., Zhao, Y.X., Yan, H., Zhu, S.L.: Adv. Phys. 4, 253–402 (2018)

    Article  ADS  Google Scholar 

  12. Volovik, G.E.: J. Supercond. Nov. Magn. 26, 2887–2890 (2013)

    Article  Google Scholar 

  13. Wang, X., Zhou, T.: arXiv:2106.06928

  14. Mu Ec Hler, L., Guguchia, Z., Orain, J.C., Nuss, J., Schoop, L.M., Thomale, R., Rohr, FV.: APL Mater. 7, 121103 (2019)

  15. Wang, Y., Nandkishore, R.M.: Phys. Rev. B. 95, 060506(R) (2017)

    Article  ADS  Google Scholar 

  16. Shapourian, H., Wang, Y., Ryu, S.: Phys. Rev. B. 97, 094508 (2018)

    Article  ADS  Google Scholar 

  17. Zhang, R.W., Zhang, Z., Liu, C.C., Yao, Y.: Phys. Rev. Lett. 124,1 (2020)

    Google Scholar 

  18. Be Nalcazar, W.A., Be Rnevig, B.A., Hughes, T.L.: Phys. Rev. Lett. 357, 61–66 (2017)

    Google Scholar 

  19. Be Nalcazar, W.A., Be Rnevig, B.A., Hughes, T.L.: Phys. Rev. B. 96, 245115 (2017)

    Article  ADS  Google Scholar 

  20. Langbehn, J., Peng, Y., Trifunovic, L., Oppen, F.V., Brouwer, P.W.: Phys. Rev. Lett. 119, 246401 (2017)

    Article  ADS  Google Scholar 

  21. Song, Z., Fang, Z., Fang, C.: Phys. Rev. Lett. 119, 246402 (2017)

    Article  ADS  Google Scholar 

  22. Wang, Z., Wieder, B.J., Li, J., Yan, B., Bernevig, B.A.: Phys. Rev. Lett. 123, 186401 (2019)

  23. Zhou, T., Chen, W., Gao, Y., Wang, Z.: Phys. Rev. B. 100, 205119 (2019)

    Article  ADS  Google Scholar 

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Acknowledgements

This work was supported by the NSFC (Grant No. 12074130), the Natural Science Foundation of Guangdong Province (Grant No. 2021A1515012340) and Science and Technology Program of Guangzhou (Grant No. 2019050001 and No. 202102080434).

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Correspondence to Tao Zhou.

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Ou, Z., Zhou, T. Higher-Order Topology in the Superconducting State of Nodal-Line Spin-Gapless Semimetals. J Supercond Nov Magn 34, 3125–3130 (2021). https://doi.org/10.1007/s10948-021-06022-6

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  • DOI: https://doi.org/10.1007/s10948-021-06022-6

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