- Letter
- Open Access
Superconductivity in the nodal-line compound
Phys. Rev. Research 4, L032004 – Published 7 July, 2022
DOI: https://doi.org/10.1103/PhysRevResearch.4.L032004
Abstract
Owing to the specific topological states in nodal-line semimetals, novel topological superconductivity is expected to emerge in these systems. In this Letter, we demonstrate that is a topologically nontrivial nodal-ring semimetal protected by the gliding-mirror symmetry using first-principles calculations. Meanwhile, we discover bulk superconductivity with a transition temperature of 1.1 K and an upper critical field of 0.41 T by means of resistivity, susceptibility, and specific heat measurements. These findings demonstrate that provides a material platform for studying novel superconductivity in the nodal-ring system.
Physics Subject Headings (PhySH)
Article Text
References (49)
- Y. S. Hor, A. J. Williams, J. G. Checkelsky, P. Roushan, J. Seo, Q. Xu, H. W. Zandbergen, A. Yazdani, N. P. Ong, and R. J. Cava, Superconductivity in and Its Implications for Pairing in the Undoped Topological Insulator, Phys. Rev. Lett. 104, 057001 (2010).
- T. Kawai, C. Wang, Y. Kandori, Y. Honoki, K. Matano, T. Kambe, and G.-q. Zheng, Direction and symmetry transition of the vector order parameter in topological superconductors , Nat. Commun. 11, 235 (2020).
- S. Yonezawa, K. Tajiri, S. Nakata, Y. Nagai, Z. Wang, K. Segawa, Y. Ando, and Y. Maeno, Thermodynamic evidence for nematic superconductivity in , Nat. Phys. 13, 123 (2017).
- S. Sasaki, M. Kriener, K. Segawa, K. Yada, Y. Tanaka, M. Sato, and Y. Ando, Topological Superconductivity in , Phys. Rev. Lett. 107, 217001 (2011).
- R. Tao, Y.-J. Yan, X. Liu, Z.-W. Wang, Y. Ando, Q.-H. Wang, T. Zhang, and D.-L. Feng, Direct Visualization of the Nematic Superconductivity in , Phys. Rev. X 8, 041024 (2018).
- X.-L. Qi and S.-C. Zhang, Topological insulators and superconductors, Rev. Mod. Phys. 83, 1057 (2011).
- A. P. Mackenzie and Y. Maeno, The superconductivity of and the physics of spin-triplet pairing, Rev. Mod. Phys. 75, 657 (2003).
- A. Pustogow, Y. Luo, A. Chronister, Y.-S. Su, D. Sokolov, F. Jerzembeck, A. P. Mackenzie, C. W. Hicks, N. Kikugawa, S. Raghu, E. D. Bauer, and S. E. Brown, Constraints on the superconducting order parameter in from oxygen-17 nuclear magnetic resonance, Nature (London) 574, 72 (2019).
- L. Fu and C. L. Kane, Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator, Phys. Rev. Lett. 100, 096407 (2008).
- J. R. Williams, A. J. Bestwick, P. Gallagher, S. S. Hong, Y. Cui, A. S. Bleich, J. G. Analytis, I. R. Fisher, and D. Goldhaber-Gordon, Unconventional Josephson Effect in Hybrid Superconductor-Topological Insulator Devices, Phys. Rev. Lett. 109, 056803 (2012).
- M.-X. Wang, C. Liu, J.-P. Xu, F. Yang, L. Miao, M.-Y. Yao, C. Gao, C. Shen, X. Ma, X. Chen, Z.-A. Xu, Y. Liu, S.-C. Zhang, D. Qian, J.-F. Jia, and Q.-K. Xue, The coexistence of superconductivity and topological order in the thin films, Science 336, 52 (2012).
- F. Yang, F. Qu, J. Shen, Y. Ding, J. Chen, Z. Ji, G. Liu, J. Fan, C. Yang, L. Fu, and L. Lu, Proximity-effect-induced superconducting phase in the topological insulator , Phys. Rev. B 86, 134504 (2012).
- M. H. Fang, H. M. Pham, B. Qian, T. J. Liu, E. K. Vehstedt, Y. Liu, L. Spinu, and Z. Q. Mao, Superconductivity close to magnetic instability in , Phys. Rev. B 78, 224503 (2008).
- Z. Wang, P. Zhang, G. Xu, L. K. Zeng, H. Miao, X. Xu, T. Qian, H. Weng, P. Richard, A. V. Fedorov, H. Ding, X. Dai, and Z. Fang, Topological nature of the superconductor, Phys. Rev. B 92, 115119 (2015).
- M. Sakano, K. Okawa, M. Kanou, H. Sanjo, T. Okuda, T. Sasagawa, and K. Ishizaka, Topologically protected surface states in a centrosymmetric superconductor , Nat. Commun. 6, 8595 (2015).
- Y. Fang, J. Pan, D. Zhang, D. Wang, H. T. Hirose, T. Terashima, S. Uji, Y. Yuan, W. Li, Z. Tian, J. Xue, Y. Ma, W. Zhao, Q. Xue, G. Mu, H. Zhang, and F. Huang, Discovery of superconductivity in 2 with possible topological surface states, Adv. Mater. 31, 1901942 (2019).
- A. A. Burkov, M. D. Hook, and L. Balents, Topological nodal semimetals, Phys. Rev. B 84, 235126 (2011).
- H. Weng, X. Dai, and Z. Fang, Topological semimetals predicted from first-principles calculations, J. Phys.: Condens. Matter 28, 303001 (2016).
- T. Bzdušek, Q. Wu, A. Rüegg, M. Sigrist, and A. A. Soluyanov, Nodal-chain metals, Nature (London) 538, 75 (2016).
- Y. Kim, B. J. Wieder, C. L. Kane, and A. M. Rappe, Dirac Line Nodes in Inversion-Symmetric Crystals, Phys. Rev. Lett. 115, 036806 (2015).
- Y. Huh, E.-G. Moon, and Y. B. Kim, Long-range Coulomb interaction in nodal-ring semimetals, Phys. Rev. B 93, 035138 (2016).
- M. Hirayama, R. Okugawa, T. Miyake, and S. Murakami, Topological Dirac nodal lines and surface charges in fcc alkaline earth metals, Nat. Commun. 8, 14022 (2017).
- S. T. Ramamurthy and T. L. Hughes, Quasitopological electromagnetic response of line-node semimetals, Phys. Rev. B 95, 075138 (2017).
- G. Bian, T.-R. Chang, R. Sankar, S.-Y. Xu, H. Zheng, T. Neupert, C.-K. Chiu, S.-M. Huang, G. Chang, I. Belopolski, D. S. Sanchez, M. Neupane, N. Alidoust, C. Liu, B. Wang, C.-C. Lee, H.-T. Jeng, C. Zhang, Z. Yuan, S. Jia et al., Topological nodal-line fermions in spin-orbit metal , Nat. Commun. 7, 10556 (2016).
- H. Shapourian, Y. Wang, and S. Ryu, Topological crystalline superconductivity and second-order topological superconductivity in nodal-loop materials, Phys. Rev. B 97, 094508 (2018).
- C. Fang, Y. Chen, H.-Y. Kee, and L. Fu, Topological nodal line semimetals with and without spin-orbital coupling, Phys. Rev. B 92, 081201(R) (2015).
- M. N. Ali, Q. D. Gibson, T. Klimczuk, and R. J. Cava, Noncentrosymmetric superconductor with a bulk three-dimensional Dirac cone gapped by strong spin-orbit coupling, Phys. Rev. B 89, 020505(R) (2014).
- A. Yamakage, Y. Yamakawa, Y. Tanaka, and Y. Okamoto, Line-node Dirac semimetal and topological insulating phase in noncentrosymmetric pnictides ( = P, As), J. Phys. Soc. Jpn. 85, 013708 (2016).
- J.-M. Carter, V. V. Shankar, M. A. Zeb, and H.-Y. Kee, Semimetal and topological insulator in perovskite iridates, Phys. Rev. B 85, 115105 (2012).
- Y. Chen, Y.-M. Lu, and H.-Y. Kee, Topological crystalline metal in orthorhombic perovskite iridates, Nat. Commun. 6, 6593 (2015).
- Q.-F. Liang, J. Zhou, R. Yu, Z. Wang, and H. Weng, Node-surface and node-line fermions from nonsymmorphic lattice symmetries, Phys. Rev. B 93, 085427 (2016).
- Y. Sun, Y. Zhang, C.-X. Liu, C. Felser, and B. Yan, Dirac nodal lines and induced spin Hall effect in metallic rutile oxides, Phys. Rev. B 95, 235104 (2017).
- A. Ikeda, M. Kawaguchi, S. Koibuchi, T. Hashimoto, T. Kawakami, S. Yonezawa, M. Sato, and Y. Maeno, Superconductivity in the nonsymmorphic line-nodal compound , Phys. Rev. Materials 4, 041801(R) (2020).
- S. Dzsaber, L. Prochaska, A. Sidorenko, G. Eguchi, R. Svagera, M. Waas, A. Prokofiev, Q. Si, and S. Paschen, Kondo Insulator to Semimetal Transformation Tuned by Spin-Orbit Coupling, Phys. Rev. Lett. 118, 246601 (2017).
- C. Cao, G.-X. Zhi, and J.-X. Zhu, From Trivial Kondo Insulator to Topological Nodal-Line Semimetal , Phys. Rev. Lett. 124, 166403 (2020).
- T. Palewski and W. Suski, Pnictides and Chalcogenides II (Ternary Lanthanide Pnictides), Part b: 1:2:2, 1:4:12, 3:3:4, and Other Type Compounds, (Springer-Verlag, Berlin, 2003).
- G. H. Kwei, J. M. Lawrence, P. C. Canfield, W. P. Beyermann, J. D. Thompson, Z. Fisk, A. C. Lawson, and J. A. Goldstone, Thermal expansion of at ambient and high pressures, Phys. Rev. B 46, 8067 (1992).
- M. F. Hundley, P. C. Canfield, J. D. Thompson, Z. Fisk, and J. M. Lawrence, Hybridization gap in , Phys. Rev. B 42, 6842 (1990).
- M. Hundley, A. Lacerda, P. Canfield, J. Thompson, and Z. Fisk, Magnetoresistance of the Kondo insulator , Phys. B: Condens. Matter 186-188, 425 (1993).
- T. Pietrus, H. v. Löhneysen, and P. Schlottmann, Kondo-hole conduction in the La-doped Kondo insulator , Phys. Rev. B 77, 115134 (2008).
- G. Kresse and J. Hafner, Ab initio molecular dynamics for liquid metals, Phys. Rev. B 47, 558 (1993).
- G. Kresse and D. Joubert, From ultrasoft pseudopotentials to the projector augmented-wave method, Phys. Rev. B 59, 1758 (1999).
- P. E. Blöchl, Projector augmented-wave method, Phys. Rev. B 50, 17953 (1994).
- J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized Gradient Approximation Made Simple, Phys. Rev. Lett. 77, 3865 (1996).
- I. Souza, N. Marzari, and D. Vanderbilt, Maximally localized Wannier functions for entangled energy bands, Phys. Rev. B 65, 035109 (2001).
- A. A. Mostofi, J. R. Yates, Y.-S. Lee, I. Souza, D. Vanderbilt, and N. Marzari, Wannier90: A tool for obtaining maximally-localised Wannier functions, Comput. Phys. Commun. 178, 685 (2008).
- G.-X. Zhi, C. Xu, S.-Q. Wu, F. Ning, and C. Cao, WannSymm: A symmetry analysis code for Wannier orbitals, Comput. Phys. Commun. 271, 108196 (2022).
- Q. Wu, S. Zhang, H.-F. Song, M. Troyer, and A. A. Soluyanov, WannierTools: An open-source software package for novel topological materials, Comput. Phys. Commun. 224, 405 (2018).
- G. Goll, M. Marz, A. Hamann, T. Tomanic, K. Grube, T. Yoshino, and T. Takabatake, Thermodynamic and transport properties of the non-centrosymmetric superconductor , Phys. B: Condens. Matter 403, 1065 (2008).