J. Phys. Soc. Jpn. 86, 104710 (2017) [12 Pages]
« Previous Article | Next Article »
FULL PAPERS

Effect of Rashba Spin–Orbit Interaction on the Stability of Spin-Vortex-Induced Loop Current in Hole-Doped Cuprate Superconductors: A Scenario for the Appearance of Magnetic Field Enhanced Charge Order and Fermi Surface Reconstruction

Tsubasa Morisaki1, Hikaru Wakaura2, and Hiroyasu Koizumi1,2,
+ Affiliations
1Division of Materials Science, Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8573, Japan2Center for Computational Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan
Received June 14, 2017; Accepted August 28, 2017; Published September 26, 2017

Rashba type spin–orbit interaction is included in the model Hamiltonian for the spin-vortex-induced loop current (SVILC) mechanism of superconductivity for hole doped cuprate superconductors and its effects are investigated. We assume that a Rashba interaction appears around the small polarons formed by the doped holes in the bulk; its internal electric field is assumed to be in the direction perpendicular to the CuO2 plane and stabilizes the spin polarization lying in the CuO2 plane. We examine 4 × 4, 4 × 6, and 4 × 8 spin-vortex-quartet (SVQ) and perform Monte Carlo simulations to estimate the superconducting transition temperature Tc, where each SVQ is a n × m two dimensional region (in the units of the lattice constant) containing four holes, four spin-vortices, and four SVILCs. We find that the 4 × 6 SVQ is the most stable one among them with the highest Tc; in this case, the hole concentration per Cu atom is x = 0.167, which is close to the optimal doping value x = 0.170, suggesting that the optimal doping may be related to the stabilization of the superconducting state by the Rashba interaction. We also find that the 4 × 8 SVQ becomes more stable than the 4 × 6 SVQ in a current flowing situation; this indicates that the conversion from the 4 × 6 SVQs to 4 × 8 SVQs may occur upon the emergence of a macroscopic current by the application of a magnetic field. This conversion may explain the enhancement of the charge order around x = 0.125 and the Fermi surface reconstruction upon an application of a magnetic field.

©2017 The Physical Society of Japan
https://doi.org/10.7566/JPSJ.86.104710

References

  • 1 M. Calandra and O. Gunnarsson, Europhys. Lett. 61, 88 (2003). 10.1209/epl/i2003-00253-5 Crossref, Google Scholar
  • 2 J. M. Tranquada, H. Woo, T. G. Perring, H. Goka, G. D. Gu, G. Xu, M. Fujita, and K. Yamada, Nature 429, 534 (2004). 10.1038/nature02574 Crossref, Google Scholar
  • 3 M. P. M. Dean, G. Dellea, R. S. Springell, F. Yakhou-Harris, K. Kummer, N. B. Brookes, X. Liu, Y.-J. Sun, J. Strle, T. Schmitt, L. Braicovich, G. Ghiringhelli, I. Božović, and J. P. Hill, Nat. Mater. 12, 1019 (2013). 10.1038/nmat3723 Crossref, Google Scholar
  • 4 A. M. Polyakov, Phys. Lett. B 59, 82 (1975). 10.1016/0370-2693(75)90162-8 Crossref, Google Scholar
  • 5 H. Koizumi, R. Hidekata, A. Okazaki, and M. Tachiki, J. Supercond. Novel Magn. 27, 121 (2014). 10.1007/s10948-013-2277-2 Crossref, Google Scholar
  • 6 H. Koizumi, A. Okazaki, M. Abou Ghantous, and M. Tachiki, J. Supercond. Novel Magn. 27, 2435 (2014). 10.1007/s10948-014-2626-9 Crossref, Google Scholar
  • 7 H. Koizumi, J. Supercond. Novel Magn. 24, 1997 (2011). 10.1007/s10948-011-1159-8 Crossref, Google Scholar
  • 8 A. Bianconi, N. L. Saini, A. Lanzara, M. Missori, T. Rossetti, H. Oyanagi, H. Yamaguchi, K. Oka, and T. Ito, Phys. Rev. Lett. 76, 3412 (1996). 10.1103/PhysRevLett.76.3412 Crossref, Google Scholar
  • 9 S. Miyaki, K. Makoshi, and H. Koizumi, J. Phys. Soc. Jpn. 77, 034702 (2008). 10.1143/JPSJ.77.034702 Link, Google Scholar
  • 10 R. Hidekata and H. Koizumi, J. Supercond. Novel Magn. 24, 2253 (2011). 10.1007/s10948-011-1194-5 Crossref, Google Scholar
  • 11 A. Okazaki, H. Wakaura, H. Koizumi, and M. Tachiki, J. Supercond. Novel Magn. 28, 3221 (2015). 10.1007/s10948-015-3176-5 Crossref, Google Scholar
  • 12 T. Wu, H. Mayaffre, S. Kramer, M. Horvatic, C. Berthier, W. N. Hardy, R. Liang, D. A. Bonn, and M.-H. Julien, Nature 477, 191 (2011). 10.1038/nature10345 Crossref, Google Scholar
  • 13 T. Wu, H. Mayaffre, S. Krämer, M. Horvatić, C. Berthier, P. L. Kuhns, A. P. Reyes, R. Liang, W. N. Hardy, D. A. Bonn, and M.-H. Julien, Nat. Commun. 4, 2113 (2013) EP. 10.1038/ncomms3113 Crossref, Google Scholar
  • 14 T. Wu, H. Mayaffre, S. Krämer, M. Horvatić, C. Berthier, W. N. Hardy, R. Liang, D. A. Bonn, and M.-H. Julien, Nat. Commun. 6, 6438 (2015) EP. 10.1038/ncomms7438 Crossref, Google Scholar
  • 15 G. Ghiringhelli, M. Le Tacon, M. Minola, S. Blanco-Canosa, C. Mazzoli, N. B. Brookes, G. M. De Luca, A. Frano, D. G. Hawthorn, F. He, T. Loew, M. M. Sala, D. C. Peets, M. Salluzzo, E. Schierle, R. Sutarto, G. A. Sawatzky, E. Weschke, B. Keimer, and L. Braicovich, Science 337, 821 (2012). 10.1126/science.1223532 Crossref, Google Scholar
  • 16 A. J. Achkar, R. Sutarto, X. Mao, F. He, A. Frano, S. Blanco-Canosa, M. Le Tacon, G. Ghiringhelli, L. Braicovich, M. Minola, M. Moretti Sala, C. Mazzoli, R. Liang, D. A. Bonn, W. N. Hardy, B. Keimer, G. A. Sawatzky, and D. G. Hawthorn, Phys. Rev. Lett. 109, 167001 (2012). 10.1103/PhysRevLett.109.167001 Crossref, Google Scholar
  • 17 E. Blackburn, J. Chang, M. Hücker, A. T. Holmes, N. B. Christensen, R. Liang, D. A. Bonn, W. N. Hardy, U. Rütt, O. Gutowski, M. v. Zimmermann, E. M. Forgan, and S. M. Hayden, Phys. Rev. Lett. 110, 137004 (2013). 10.1103/PhysRevLett.110.137004 Crossref, Google Scholar
  • 18 J. Chang, E. Blackburn, A. T. Holmes, N. B. Christensen, J. Larsen, J. Mesot, R. Liang, D. A. Bonn, W. N. Hardy, A. Watenphul, M. v. Zimmermann, E. M. Forgan, and S. M. Hayden, Nat. Phys. 8, 871 (2012). 10.1038/nphys2456 Crossref, Google Scholar
  • 19 S. E. Sebastian, N. Harrison, and G. G. Lonzarich, Rep. Prog. Phys. 75, 102501 (2012). 10.1088/0034-4885/75/10/102501 Crossref, Google Scholar
  • 20 S. Badoux, W. Tabis, F. Laliberté, G. Grissonnanche, B. Vignolle, D. Vignolles, J. Béard, D. A. Bonn, W. N. Hardy, R. Liang, N. Doiron-Leyraud, L. Taillefer, and C. Proust, Nature 531, 210 (2016). 10.1038/nature16983 Crossref, Google Scholar
  • 21 J. E. Hoffman, E. W. Hudson, K. M. Lang, V. Madhavan, H. Eisaki, S. Uchida, and J. C. Davis, Science 295, 466 (2002). 10.1126/science.1066974 Crossref, Google Scholar
  • 22 M. H. Hamidian, S. D. Edkins, S. H. Joo, A. Kostin, H. Eisaki, S. Uchida, M. J. Lawler, E. A. Kim, A. P. Mackenzie, K. Fujita, J. Lee, and J. C. S. Davis, Nature 532, 343 (2016). 10.1038/nature17411 Crossref, Google Scholar
  • 23 A. W. Sandvik, Phys. Rev. B 56, 11678 (1997). 10.1103/PhysRevB.56.11678 Crossref, Google Scholar
  • 24 H. Koizumi, J. Phys. Soc. Jpn. 77, 104704 (2008). 10.1143/JPSJ.77.104704 Link, Google Scholar
  • 25 J. A. Riera, Phys. Rev. B 88, 045102 (2013). 10.1103/PhysRevB.88.045102 Crossref, Google Scholar
  • 26 H. Koizumi, J. Phys. Soc. Jpn. 77, 034712 (2008). 10.1143/JPSJ.77.034712 Link, Google Scholar
  • 27 J. C. Slater, Phys. Rev. 82, 538 (1951). 10.1103/PhysRev.82.538 Crossref, Google Scholar
  • 28 N. F. Mott, Metal–Insulator Transitions (Taylor & Francis, London, 1990) 2nd ed. Crossref, Google Scholar
  • 29 M. Bendele, F. von Rohr, Z. Guguchia, E. Pomjakushina, K. Conder, A. Bianconi, A. Simon, A. Bussmann-Holder, and H. Keller, Phys. Rev. B 95, 014514 (2017). 10.1103/PhysRevB.95.014514 Crossref, Google Scholar
  • 30 C. M. Varma, Rep. Prog. Phys. 79, 082501 (2016). 10.1088/0034-4885/79/8/082501 Crossref, Google Scholar
« Previous Article | Next Article »

JPS | Copyright & Permission | Privacy Policy | Contact | 

Copyright © 2021 The Physical Society of Japan