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Landau-Fermi liquidness and \(s\)-wave superconducting properties of pressurized gray phosphorus

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Abstract

We investigate the physical properties of compressed gray phosphorus through density functional plus dynamical mean-field theory, showing self-doping and \(s\)-wave electronic structure reconstruction. At commensurate electron density, the \(3p\) spectrum is shown to be almost unaffected by electronic correlations, however upon self-doping largely the normal and superconducting states. These findings provide a microscopic understanding of pressure-induced hole carrier superconductivity on the normal state coherence of \(s\)-wave superconductors with well-defined Bogoliubov quasiparticles at low temperatures. Upon internal thermalization, the \(s\)-wave superconducting state loses its phase coherence.

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Data Availibility Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a purely computational work, and all the data related to this work is provided in the form of figures within this article.]

References

  1. A. Morita, App. Phys. A 39, 227 (1986)

    Article  ADS  Google Scholar 

  2. H. Liu, Y. Du, Y. Deng, P.D. Ye, Chem. Soc. Rev. 44, 2732 (2015)

    Article  Google Scholar 

  3. F. Xia, H. Wang, J.C.M. Hwang, A.H. Castro Neto, L. Yang, Nat. Rev. Phys. 1, 306 (2019)

    Article  Google Scholar 

  4. T. Kikegawa and H. Iwasaki, Acta Crystallogr., Sect. B: Struct. Sci., Cryst. Eng. Mater. 39, 158 (1983)

  5. I. Shirotani, K. Tsuji, M. Imai, H. Kawamura, O. Shimomura, T. Kikegawa, T. Nakajima, Phys. Lett. A 144, 102 (1990)

    Article  ADS  Google Scholar 

  6. Y. Akahama, M. Kobayashi, H. Kawamura, Phys. Rev. B 59, 8520 (1999)

    Article  ADS  Google Scholar 

  7. S.M. Clark, J.M. Zaug, Phys. Rev. B 82, 134111 (2010)

    Article  ADS  Google Scholar 

  8. J. Guo, H. Wang, F. von Rohr, W. Yi, Y. Zhou, Z. Wang, S. Cai, S. Zhang, X. Li, Y. Li, J. Liu, K. Yang, A. Li, S. Jiang, Q. Wu, T. Xiang, R.J. Cava, L. Sun, Phys. Rev. B 96, 224513 (2017)

    Article  ADS  Google Scholar 

  9. J.A. Flores-Livas, A. Sanna, A.P. Drozdov, L. Boeri, G. Profeta, M. Eremets, S. Goedecker, Phys. Rev. Mater. 1, 024802 (2017)

    Article  Google Scholar 

  10. J. Arcudia, R. Kempt, M.E. Cifuentes-Quintal, T. Heine, G. Merino, Phys. Rev. Lett. 125, 196401 (2020)

    Article  ADS  Google Scholar 

  11. R. Fei, V. Tran, L. Yang, Phys. Rev. B 91, 195319 (2015)

    Article  ADS  Google Scholar 

  12. A.S. Rodin, A. Carvalho, A.H. Castro Neto, Phys. Rev. Lett. 112, 176801 (2014)

    Article  ADS  Google Scholar 

  13. G. Qin, Q.-B. Yan, Z. Qin, S.-Y. Yue, H.-J. Cui, Q.-R. Zheng, G. Su, Sci. Rep. 4, 6946 (2014)

    Article  ADS  Google Scholar 

  14. J. Kim, S.S. Baik, S.H. Ryu, Y. Sohn, S. Park, B.-G. Park, J. Denlinger, Y. Yi, H.J. Choi, K.S. Kim, Science 349, 723 (2015)

    Article  Google Scholar 

  15. I. Shirotani, J. Mikami, T. Adachi, Y. Katayama, K. Tsuji, H. Kawamura, O. Shimomura, T. Nakajima, Phys. Rev. B 50, 16274 (1994)

    Article  ADS  Google Scholar 

  16. X. Li, J. Sun, P. Shahi, M. Gao, A.H. MacDonald, Y. Uwatoko, T. Xiang, J.B. Goodenough, J. Cheng, J. Zhou, PNAS 115, 9935 (2018)

    Article  ADS  Google Scholar 

  17. H. Kawamura, I. Shirotani, K. Tachikawa, Solid State Commun. 54, 775 (1985)

    Article  ADS  Google Scholar 

  18. M. Karuzawa, M. Ishizuka, S. Endo, J. Phys. Condens. Matter 14, 10759 (2002)

    Article  ADS  Google Scholar 

  19. I. Shirotani, J. Mikami, T. Adachi, Y. Katayama, K. Tsuji, H. Kawamura, O. Shimomura, T. Nakajima, Phys. Rev. B 50, 16274 (1994)

    Article  ADS  Google Scholar 

  20. R. Zhang, J. Waters, A.K. Geim, I.V. Grigorieva, Nat. Commun. 8, 15036 (2017)

    Article  ADS  Google Scholar 

  21. H. Yuan, L. Deng, B. Lv, Z. Wu, Z. Yang, S. Li, S. Huyan, Y. Ni, J. Sun, F. Tian, D. Wang, H. Wang, S. Chen, Z. Ren, C. Chu, Mater. Today Phys. 4, 7 (2018)

    Article  Google Scholar 

  22. M. Alidoust, M. Willatzen, A.-P. Jauho, Phys. Rev. B 99, 125417 (2019)

    Article  ADS  Google Scholar 

  23. S.E. Boulfelfel, G. Seifert, Y. Grin, S. Leoni, Phys. Rev. B 85, 014110 (2012)

    Article  ADS  Google Scholar 

  24. Y. Feng, H. Sun, J. Sun, Z. Lu, Y. You, J. Phys. Condens. Matter 30, 015601 (2018)

    Article  ADS  Google Scholar 

  25. D.F. Shao, W.J. Lu, H.Y. Lv, Y.P. Sun, Europhys. Lett. 108, 67004 (2014)

    Article  ADS  Google Scholar 

  26. J.-J. Zhang, S. Dong, 2D Mater. 3, 035005 (2016)

    Article  Google Scholar 

  27. J.E. See, Hirsch, , J. Supercond. Nov. Magn. 33, 61 (2020). (and references therein)

  28. L. Craco, M.S. Laad, S. Leoni, H. Rosner, Phys. Rev. B 79, 075125 (2009)

    Article  ADS  Google Scholar 

  29. L. Craco, T.A. da Silva Pereira, S.R. Ferreira, S.S. Carara, S. Leoni, Phys. Rev. B 98, 035114 (2018)

  30. A.J.R. da Silva, L.M. Falicov, Phys. Rev. B 52, 2325 (1995)

    Article  ADS  Google Scholar 

  31. J.A. Chan, S. Lany, A. Zunger, Phys. Rev. Lett. 103, 016404 (2009)

    Article  ADS  Google Scholar 

  32. J. Winterlik, G.H. Fecher, C.A. Jenkins, C. Felser, C. Mühle, K. Doll, M. Jansen, L.M. Sandratskii, J. Kübler, Phys. Rev. Lett. 102, 016401 (2009)

    Article  ADS  Google Scholar 

  33. T. Kiss, A. Chainani, H.M. Yamamoto, T. Miyazaki, T. Akimoto, T. Shimojima, K. Ishizaka, S. Watanabe, C.-T. Chen, A. Fukaya, R. Kato, S. Shin, Nat. Commun. 3, 1089 (2012)

    Article  ADS  Google Scholar 

  34. N. Tancogne-Dejean, A. Rubio, Phys. Rev. B 102, 155117 (2020)

    Article  ADS  Google Scholar 

  35. G. Chiappe, E. Louis, E. SanFabián, J.A. Verges, Phys. Rev. B 75, 195104 (2007)

    Article  ADS  Google Scholar 

  36. S. Mandal, K. Haule, K. M. Rabe, and D. Vanderbilt, 2101.03262 (unpublished)

  37. L. Craco and S. Leoni, Phys. Rev. B 100, 115156 (2019)

  38. S. Mandal, K. Haule, K. M. Rabe, and D. Vanderbilt, arXiv:2101.03262 (unpublished)

  39. M. Imada, A. Fujimori, Y. Tokura, Rev. Mod. Phys. 70, 1039 (1998)

    Article  ADS  Google Scholar 

  40. T. Kiss, A. Chainani, H.M. Yamamoto, T. Miyazaki, T. Akimoto, T. Shimojima, K. Ishizaka, S. Watanabe, C.-T. Chen, A. Fukaya, R. Kato, S. Shin, Nat. Commun. 3, 1089 (2012)

    Article  ADS  Google Scholar 

  41. V.N. Kotov, B. Uchoa, V.M. Pereira, F. Guinea, A.H. Castro Neto, Rev. Mod. Phys. 84, 1067 (2012)

    Article  ADS  Google Scholar 

  42. N.F.Q. Yuan, L. Fu, Phys. Rev. B 97, 115139 (2018)

    Article  ADS  Google Scholar 

  43. G. Kotliar, S.Y. Savrasov, K. Haule, V.S. Oudovenko, O. Parcollet, C.A. Marianetti, Rev. Mod. Phys. 78, 865 (2006)

    Article  ADS  Google Scholar 

  44. L. Craco, M.S. Laad, S. Leoni, Sci. Rep. 7, 2632 (2017)

    Article  ADS  Google Scholar 

  45. Z.J. Xiang, G.J. Ye, C. Shang, B. Lei, N.Z. Wang, K.S. Yang, D.Y. Liu, F.B. Meng, X.G. Luo, L.J. Zou, Z. Sun, Y. Zhang, X.H. Chen, Phys. Rev. Lett. 115, 186403 (2015)

    Article  ADS  Google Scholar 

  46. J.C. Jamieson, Science 139, 1291 (1963)

    Article  ADS  Google Scholar 

  47. L. Craco, S. Leoni, Sci. Rep. 5, 13772 (2015)

    Article  ADS  Google Scholar 

  48. O.K. Andersen, Phys. Rev. B 12, 3060 (1975)

    Article  ADS  Google Scholar 

  49. N. Ehlen, A. Sanna, B.V. Senkovskiy, L. Petaccia, A.V. Fedorov, G. Profeta, A. Grüneis, Phys. Rev. B 97, 045143 (2018)

    Article  ADS  Google Scholar 

  50. J. Hubbard, Proc. Roy. Soc. Lond. A 276, 238 (1963)

    Article  ADS  Google Scholar 

  51. M.S. Laad, L. Craco, E. Müller-Hartmann, Phys. Rev. B 64, 195114 (2001)

    Article  ADS  Google Scholar 

  52. L. Craco, Phys. Rev. B 77, 125122 (2008)

    Article  ADS  Google Scholar 

  53. L. Craco, T.A. da Silva Pereira, S. Leoni, Phys. Rev. B 96, 075118 (2017)

    Article  ADS  Google Scholar 

  54. L. Craco, S. Leoni, Phys. Rev. B 100, 121101(R) (2019)

    Article  ADS  Google Scholar 

  55. L. Craco, S. Leoni, Phys. Rev. B 102, 045142 (2020)

    Article  ADS  Google Scholar 

  56. X. Wu, H.O. Jeschke, D. Di Sante, F.O. von Rohr, R.J. Cava, R. Thomale, Phys. Rev. Mater. 2, 034802 (2018)

    Article  Google Scholar 

  57. V.Y. Klevets, N.D. Savchenko, T.N. Shchurova, I.I. Opachko, K.O. Popovic, Funct. Mater. 20, 97 (2013)

    Article  Google Scholar 

  58. T.O. Wehling, E. Şaşıoğlu, C. Friedrich, A.I. Lichtenstein, M.I. Katsnelson, S. Blügel, Phys. Rev. Lett. 106, 236805 (2011)

    Article  ADS  Google Scholar 

  59. A. Georges, G. Kotliar, W. Krauth, M.J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996)

    Article  ADS  Google Scholar 

  60. J. Jensen, E.W. Plummer, Phys. Rev. Lett. 55, 1912 (1985)

    Article  ADS  Google Scholar 

  61. I.-W. Lyo, E.W. Plummer, Phys. Rev. Lett. 60, 1558 (1988)

    Article  ADS  Google Scholar 

  62. J. Bardeen, Phys. Rev. Lett. 1, 399 (1958)

    Article  ADS  Google Scholar 

  63. J.R. Schaibley, H. Yu, G. Clark, P. Rivera, J.S. Ross, K.L. Seyler, W. Yao, X. Xu, Nat. Rev. Mater. 1, 201655 (2016)

    Article  Google Scholar 

  64. R. Fehrenbacher, M.R. Norman, Phys. Rev. Lett. 74, 3884 (1995)

    Article  ADS  Google Scholar 

  65. M.S. Laad, L. Craco, Phys. Rev. Lett. 103, 017002 (2009)

    Article  ADS  Google Scholar 

  66. M.A. Sulangi, J. Zaanen, Phys. Rev. B 98, 094518 (2018)

    Article  ADS  Google Scholar 

  67. T. Hanaguri, Y. Kohsaka, J.C. Davis, C. Lupien, I. Yamada, M. Azuma, M. Takano, K. Ohishi, M. Ono, H. Takagi, Nat. Phys. 3, 865 (2007)

    Article  Google Scholar 

  68. X. L. Lei, Balance Equation Approach to Electron Transport in Semiconductors, World Scientific Publishing Co. Pte. Ltd, Singapore (2008)

  69. P.M. Richards, Phys. Rev. B 60 (1999)

  70. R. Püttner, T. Marchenko, R. Guillemin, L. Journel, G. Goldsztejn, D. Céolin, O. Takahashi, K. Ueda, A.F. Lago, M.N. Piancastelli, M. Simon, Phys. Chem. Chem. Phys. 21, 8827 (2019)

    Article  Google Scholar 

  71. D.J. Luitz, R. Moessner, S.L. Sondhi, V. Khemani, Phys. Rev. X 10, 021046 (2020)

    Google Scholar 

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Acknowledgements

L.C.’s work is supported by CNPq (Grant No. 304035/2017-3). Acknowledgment (L.C. and S.S.C.) is also made to CAPES. S.L. thanks ARCCA Cardiff for computational resources.

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SL carried out the LDA calculations. LC designed and carried out the LDA + DMFT study. The authors contributed to the scientific discussions and the preparation of the manuscript, and approved the final version of the manuscript.

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Correspondence to L. Craco.

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Craco, L., Carara, S.S. & Leoni, S. Landau-Fermi liquidness and \(s\)-wave superconducting properties of pressurized gray phosphorus. Eur. Phys. J. B 94, 115 (2021). https://doi.org/10.1140/epjb/s10051-021-00121-y

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