Abstract
Pressure has become an irreplaceable tool in preparing new materials with interesting property. Theoretical calculations, especially combined with structural evolution algorithm, have played a powerful role in accelerating the finding of functional materials. Phosphorus (P) has the ability of forming diverse motifs in element solids and compounds, which are closely related to their physical property. Here we explore high-pressure phase diagram of binary Sc-P compounds with the aim of finding new materials through first-principles structural search calculations. Besides reappearing the known NaCl-type ScP, two P-rich chemical compositions (e.g., ScP4 and ScP2) are identified at high pressures. Interestingly, ScP4 contains a novel three-dimensional P framework composed of eight- and four-membered channels. A one-dimensional Sc chain is located in eight-membered channel. Electronic property calculations disclose that ScP4 is metallic and superconductive. Its superconducting transition temperature (Tc) increases with decreasing pressure, and is up to 11 K at 50 GPa. Pressure-dependent density of states at the Fermi level is mainly responsible for the change of Tc. Other pressure-induced Sc-P phases are also superconductive, but have a weak electron–phonon coupling in comparison with ScP4.
Similar content being viewed by others
Change history
04 April 2022
A Correction to this paper has been published: https://doi.org/10.1007/s00339-022-05525-w
References
H.-K. Mao, X.-J. Chen, Y. Ding, B. Li, L. Wang, Rev. Mod. Phys. 90, 15007 (2018)
J.A. Flores-Livas, L. Boeri, A. Sanna, G. Profeta, R. Arita, M. Eremets, Phys. Rep. 856, 1 (2020)
H. Suhl, B.T. Matthias, L.R. Walker, Phys. Rev. Lett. 3, 552 (1959)
H. Liu, I.I. Naumov, R. Hoffmann, N.W. Ashcroft, R.J. Hemley, Proc. Natl. Acad. Sci. 114, 6990 (2017)
F. Peng, Y. Sun, C.J. Pickard, R.J. Needs, Q. Wu, Y. Ma, Phys. Rev. Lett. 119, 107001 (2017)
H. Xie, Y. Yao, X. Feng, D. Duan, H. Song, Z. Zhang, S. Jiang, S.A.T. Redfern, V.Z. Kresin, C.J. Pickard, T. Cui, Phys. Rev. Lett. 125, 217001 (2020)
J. Nagamatsu, N. Nakagawa, T. Muranaka, Y. Zenitani, J. Akimitsu, Nature 410, 63 (2001)
Y. Liang, M. Xu, Z. Qu, S. Lin, J. Hao, Y. Li, J. Mater. Chem. C 9, 8258 (2021)
P.E.M. Amaral, H.-F. Ji, in fundamentals and applications of phosphorus nanomaterials. ed. by H.F. Ji (American Chemical Society, Washington, DC, 2019), pp. 2–27
X. Li, X. Zhang, A. Bergara, G. Gao, Y. Liu, G. Yang, Phys. Rev. B 105, 24504 (2022)
X. Liu, Z. Yu, Q. Liang, C. Zhou, H. Wang, J. Zhao, X. Wang, N. Yu, Z. Zou, Y. Guo, Chem. Mater. 32, 8781 (2020)
Y. Liu, C. Wang, X. Kong, D. Duan, Inorg. Chem. 56, 12529 (2017)
Y. Liu, C. Wang, P. Lv, H. Sun, D. Duan, Chem. A Eur. J. 24, 11402 (2018)
P. Tsuppayakorn-aek, W. Luo, W. Pungtrakoon, K. Chuenkingkeaw, T. Kaewmaraya, R. Ahuja, T. Bovornratanaraks, J. Appl. Phys. 124, 225901 (2018)
J.J. Hamlin, J.S. Schilling, Phys. Rev. B 76, 12505 (2007)
N.H. Krikorian, A.L. Giorgi, E.G. Szklarz, M.C. Krupka, B.T. Matthias, J. Less Common Met. 19, 253 (1969)
H. Ninomiya, K. Oka, I. Hase, K. Kawashima, H. Fujihisa, Y. Gotoh, S. Ishida, H. Ogino, A. Iyo, Y. Yoshida, H. Eisaki, Inorg. Chem. 58, 15629 (2019)
H. Chen, M. Zheng, A. Fang, J. Yang, F. Huang, X. Xie, M. Jiang, J. Solid State Chem. 194, 59 (2012)
D. Shrivastava, S.P. Sanyal, Comput. Condens. Matter 21, e00418 (2019)
Y.-K. Wei, J.-N. Yuan, F.I. Khan, G.-F. Ji, Z.-W. Gu, D.-Q. Wei, RSC Adv. 6, 81534 (2016)
X. Ye, N. Zarifi, E. Zurek, R. Hoffmann, N.W. Ashcroft, J. Phys. Chem. C 122, 6298 (2018)
S. Qian, X. Sheng, X. Yan, Y. Chen, B. Song, Phys. Rev. B 96, 94513 (2017)
M. Miao, Nat. Chem. 5, 846 (2013)
M. Miao, Y. Sun, E. Zurek, H. Lin, Nat. Rev. Chem. 4, 508 (2020)
L. Zhang, Y. Wang, J. Lv, Y. Ma, Nat. Rev. Mater. 2, 17005 (2017)
M. Zhang, H. Liu, Q. Li, B. Gao, Y. Wang, H. Li, C. Chen, Y. Ma, Phys. Rev. Lett. 114, 15502 (2015)
Y. Tian, B. Xu, D. Yu, Y. Ma, Y. Wang, Y. Jiang, W. Hu, C. Tang, Y. Gao, K. Luo, Z. Zhao, L.-M. Wang, B. Wen, J. He, Z. Liu, Nature 493, 385 (2013)
Z. Weiwei, A.R. Oganov, A.F. Goncharov, Z. Qiang, B.S. Eddine, A.O. Lyakhov, S. Elissaios, S. Maddury, V.B. Prakapenka, K. Zuzana, Science(80-). 342, 1502 (2013)
A.B. Altman, A.D. Tamerius, N.Z. Koocher, Y. Meng, C.J. Pickard, J.P.S. Walsh, J.M. Rondinelli, S.D. Jacobsen, D.E. Freedman, J. Am. Chem. Soc. 143, 214 (2021)
E. Gregoryanz, C. Sanloup, M. Somayazulu, J. Badro, G. Fiquet, H. Mao, R.J. Hemley, Nat. Mater. 3, 294 (2004)
Y. Wang, J. Lv, L. Zhu, Y. Ma, Phys. Rev. B 82, 94116 (2010)
Y. Wang, J. Lv, L. Zhu, Y. Ma, Comput. Phys. Commun. 183, 2063 (2012)
C.W. Glass, A.R. Oganov, N. Hansen, Comput. Phys. Commun. 175, 713 (2006)
A.O. Lyakhov, A.R. Oganov, H.T. Stokes, Q. Zhu, Comput. Phys. Commun. 184, 1172 (2013)
L. Tang, Y.-B. He, C. Wang, S. Wang, M. Wagemaker, B. Li, Q.-H. Yang, F. Kang, Adv. Sci. 4, 1600311 (2017)
P. Hohenberg, W. Kohn, Phys. Rev. 136, B864 (1964)
W. Kohn, L.J. Sham, Phys. Rev. 140, A1133 (1965)
J.P. Perdew, J.A. Chevary, S.H. Vosko, K.A. Jackson, M.R. Pederson, D.J. Singh, C. Fiolhais, Phys. Rev. B 46, 6671 (1992)
G. Kresse, J. Furthmüller, Phys. Rev. B 54, 11169 (1996)
P.E. Blöchl, Phys. Rev. B 50, 17953 (1994)
P. Blaha, K. Schwarz, P. Sorantin, S.B. Trickey, Comput. Phys. Commun. 59, 399 (1990)
J.D. Pack, H.J. Monkhorst, Phys. Rev. B 16, 1748 (1977)
K. Parlinski, Z.Q. Li, Y. Kawazoe, Phys. Rev. Lett. 78, 4063 (1997)
A. Togo, F. Oba, I. Tanaka, Phys. Rev. B 78, 134106 (2008)
P. Giannozzi, S. Baroni, N. Bonini, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, G.L. Chiarotti, M. Cococcioni, I. Dabo, A. Dal Corso, S. de Gironcoli, S. Fabris, G. Fratesi, R. Gebauer, U. Gerstmann, C. Gougoussis, A. Kokalj, M. Lazzeri, L. Martin-Samos, N. Marzari, F. Mauri, R. Mazzarello, S. Paolini, A. Pasquarello, L. Paulatto, C. Sbraccia, S. Scandolo, G. Sclauzero, A.P. Seitsonen, A. Smogunov, P. Umari, R.M. Wentzcovitch, J. Phys. Condens. Matter 21, 395502 (2009)
A. Savin, R. Nesper, S. Wengert, T.F. Fässler, Angew. Chemie Int. Ed. English 36, 1808 (1997)
E. Parthé, E. Parthé, Acta Crystallogr. 16, 71 (1963)
F.H. Spedding, J.J. Hanak, A.H. Daane, J. Less Common Met. 3, 110 (1961)
Y. Akahama, H. Fujihisa, H. Kawamura, Phys. Rev. Lett. 94, 195503 (2005)
R. Hultgren, N.S. Gingrich, B.E. Warren, J. Chem. Phys. 3, 351 (1935)
A. Brown, S. Rundqvist, Acta Crystallogr. 19, 684 (1965)
H. Katzke, P. Tolédano, Phys. Rev. B 77, 24109 (2008)
Y. Akahama, H. Kawamura, S. Carlson, T. Le Bihan, D. Häusermann, Phys. Rev. B 61, 3139 (2000)
Y. Akahama, M. Kobayashi, H. Kawamura, Phys. Rev. B 59, 8520 (1999)
A. Maachou, B. Amrani, M. Driz, Phys. B Condens. Matter 388, 384 (2007)
P. Pandit, B. Rakshit, S.P. Sanyal, Phys. Status Solidi 248, 921 (2011)
H. Luo, R.G. Greene, A.L. Ruoff, Phys. Rev. Lett. 71, 2943 (1993)
O. Degtyareva, E. Gregoryanz, M. Somayazulu, H. Mao, R.J. Hemley, Phys. Rev. B 71, 214104 (2005)
A. Iandelli, E. Franceschi, J. Less Common Met. 30, 211 (1973)
Z.S. Pereira, G.M. Faccin, E.Z. da Silva, J. Phys. Chem. C 125, 8899 (2021)
H. Tajima, Y. Yerin, A. Perali, P. Pieri, Phys. Rev. B 99, 180503 (2019)
X. Ma, D. Zhou, Y. Yan, J. Xu, S. Liu, Y. Wang, M. Cui, Y. Cheng, Y. Miao, Y. Liu, Phys. Chem. Chem. Phys. 21, 21262 (2019)
P.B. Allen, R.C. Dynes, Phys. Rev. B 12, 905 (1975)
S. Di Cataldo, C. Heil, W. von der Linden, L. Boeri, Phys. Rev. B 104, L020511 (2021)
Z. Liu, W. Wu, Z. Zhao, H. Zhao, J. Cui, P. Shan, J. Zhang, C. Yang, P. Sun, Y. Wei, S. Li, J. Zhao, Y. Sui, J. Cheng, L. Lu, J. Luo, G. Liu, Phys. Rev. B 99, 184509 (2019)
J.-G. Cheng, K. Matsubayashi, W. Wu, J.P. Sun, F.K. Lin, J.L. Luo, Y. Uwatoko, Phys. Rev. Lett. 114, 117001 (2015)
Y. Li, Y. Zhou, Z. Guo, F. Han, X. Chen, P. Lu, X. Wang, C. An, Y. Zhou, J. Xing, G. Du, X. Zhu, H. Yang, J. Sun, Z. Yang, W. Yang, H.-K. Mao, Y. Zhang, H.-H. Wen, Npj Quantum Mater. 2, 66 (2017)
Z. Chi, X. Chen, C. An, L. Yang, J. Zhao, Z. Feng, Y. Zhou, Y. Zhou, C. Gu, B. Zhang, Y. Yuan, C. Kenney-Benson, W. Yang, G. Wu, X. Wan, Y. Shi, X. Yang, Z. Yang, Npj Quantum Mater. 3, 28 (2018)
A.R. Moodenbaugh, D.C. Johnston, R. Viswanathan, R.N. Shelton, L.E. DeLong, W.A. Fertig, J. Low Temp. Phys. 33, 175 (1978)
Acknowledgements
The authors acknowledge funding support from the Natural Science Foundation of China under numbers 21873017 and 21573037, the Postdoctoral Science Foundation of China under Grant 2013M541283, the Natural Science Foundation of Hebei Province (A2019203507 and B2021203030), and the Natural Science Foundation of Jilin Province (20190201231JC). The work was carried out at the National Supercomputer Center in Tianjin using TianHe-1 (A).
Author information
Authors and Affiliations
Corresponding authors
Ethics declarations
Conflict of interest
All authors declare that they have no conflict of interest.
Consent for publication
The authors know and agree to submit this manuscript to Applied Physics A.
Human or Animal Rights
The authors guarantee that research does not involve human participants and animals.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary Information
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Fu, Y., Li, F., Zhang, X. et al. Superconducting ScP4 with a novel phosphorus framework. Appl. Phys. A 128, 318 (2022). https://doi.org/10.1007/s00339-022-05341-2
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00339-022-05341-2