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Spin-vortices and Spin-vortex-induced Loop Currents in the Pseudogap Phase of Cuprates

  • Ryo Hidekata
  • Hiroyasu KoizumiEmail author
Open Access
Original Paper

Abstract

We explain several anomalous phenomena observed in the pseudogap phase of hole-doped cuprates based on the recently proposed spin-vortex superconductivity theory. In this theory, doped-holes become almost immobile small polarons, and spin-vortices are formed with those small polarons as their centers. A Hartree–Fock field for conduction electrons that is optimized for the interaction energy of local moments is derived; it contains a fictitious magnetic field arising from spin-vortices, and yields current carrying states. The obtained currents are loop currents around spin-vortices, i.e., the spin-vortex-induced loop currents (SVILCs), and a collection of them produces a macroscopic current. The SVILC explains (1) nonzero Kerr rotation in zero-magnetic field after exposed in a strong magnetic field; (2) the change of the sign of the Hall coefficient with temperature change; (3) the suppression of superconductivity in the x=1/8 static-stripe ordered sample; and (4) a large anomalous Nernst signal, including its sign-change with temperature change. We show that the hourglass-shaped magnetic excitation spectrum is the evidence for the existence of spin-vortices. We further argue that the “Fermi-arc” in the ARPES is a support for the presence of localized moments in the bulk; a disconnected arc-shaped Fermi surface is obtained by assuming an antiferromagnetic interaction between the localized moments in the bulk and itinerant electrons in the surface region.

Keywords

Cuprate superconductor Pseudogap Spin-vortex Loop current Magnetic excitation Nernst effect ARPES 

References

  1. 1.
    Xia, J., Schemm, E., Deutscher, G., Kivelson, S.A., Bonn, D.A., Hardy, W.H., Liang, R., Siemons, W., Koster, G., Fejer, M.M., et al.: Phys. Rev. Lett. 100, 127002 (2008) ADSCrossRefGoogle Scholar
  2. 2.
    Kapitulnik, A., Xia, J., Schemm, E., Palevski, A.: New J. Phys. 11, 055060 (2009) ADSCrossRefGoogle Scholar
  3. 3.
    Li, Y., Balédent, V., Yu, G., Barišć, K., Hradil, R., Mole, A., Sidis, Y., Steffens, P., Zhao, X., Bourges, P., et al.: Nature 468, 283 (2010) ADSCrossRefGoogle Scholar
  4. 4.
    Varma, C.: Nature 468, 184 (2010) ADSCrossRefGoogle Scholar
  5. 5.
    Koizumi, H.: J. Phys. Soc. Jpn. 77, 034712 (2008) ADSCrossRefGoogle Scholar
  6. 6.
    Koizumi, H.: J. Phys. Chem. A 113, 3997 (2009) CrossRefGoogle Scholar
  7. 7.
    Koizumi, H.: J. Phys. A, Math. Theor. 43, 354009 (2010) MathSciNetCrossRefGoogle Scholar
  8. 8.
    Koizumi, H.: J. Supercond. Nov. Magn. (2011). doi: 10.1007/s10948-011-1159-8 zbMATHGoogle Scholar
  9. 9.
    Hayden, S.M., Mook, H.A., Dai, P., Perring, T.G., Doğan, F.: Nature 429, 531 (2004) ADSCrossRefGoogle Scholar
  10. 10.
    Tranquada, J.M., Woo, H., Perring, T.G., Goka, H., Gu, G.D., Xu, G., Fujita, M., Yamada, K.: Nature 429, 534 (2004) ADSCrossRefGoogle Scholar
  11. 11.
    Xu, G., Gu, G.D., Hücker, M., Fauqué, B., Perring, T.G., Regnault, L.P., Tranquada, J.M.: Nat. Phys. 5, 642 (2009) CrossRefGoogle Scholar
  12. 12.
    Koizumi, H.: J. Phys. Soc. Jpn. 77, 104704 (2008) ADSCrossRefGoogle Scholar
  13. 13.
    Kivelson, S.A., Bindloss, I.P., Fradkin, E., Oganesyan, V., Tranquada, J.M., Kapitulnik, A., Howald, C.: Rev. Mod. Phys. 75, 1201 (2003) ADSCrossRefGoogle Scholar
  14. 14.
    Zhang, C.J., Oyanagi, H.: Phys. Rev. B 79, 064521 (2009) ADSCrossRefGoogle Scholar
  15. 15.
    Slater, J.C.: Phys. Rev. 82, 538 (1951) ADSCrossRefGoogle Scholar
  16. 16.
    Pan, S.H., O’Neal, J.P., Badzey, R.L., Chamon, C., Ding, H., Engelbrecht, J.R., Wang, Z., Eisaki, H., Uchida, S., Gupta, A.K., Ng, K.-W., et al.: Nature 413, 282 (2001) ADSCrossRefGoogle Scholar
  17. 17.
    Gomes, K.K., Pasupathy, A.N., Pushp, A., Ono, S., Ando, Y., Yazudani, A.: Nature 447, 569 (2007) ADSCrossRefGoogle Scholar
  18. 18.
    Damascelli, A., Hussain, Z., Shen, Z.-X.: Rev. Mod. Phys. 75, 473 (2003) ADSCrossRefGoogle Scholar
  19. 19.
    Norman, M.R., Ding, H., Randeria, N., Campuzano, J.C., Yokota, T., Takeuchi, T., Takahashi, T., Mochiku, T., Kadowaki, K., Guptasarma, P., et al.: Nature 392, 157 (1998) ADSCrossRefGoogle Scholar
  20. 20.
    Daou, R., Chang, J., LeBoeuf, D., Cyr-Choiniére, O., Laliberté, F., Doiron-Leyraud, N., Ramshaw, B.J., Liang, R., Bonn, D.A., Hardy, W.N., et al.: Nature 463, 519 (2010) ADSCrossRefGoogle Scholar
  21. 21.
    LeBoeuf, D., Doiron-Leyraud, N., Levallois, J., Daou, R., Bonnemaison, J.-B., Hussey, N.E., Balicas, L., Ramshaw, B.J., Lia, R., Bonn, D.A., et al.: Nature 450, 533 (2007) ADSCrossRefGoogle Scholar
  22. 22.
    Lanzara, A., Bogdanov, P.V., Zhou, X.J., Keller, S.A., Feng, D.L., Lu, E.D., Yoshida, T., Eisaki, H., Fujimori, A., Kishio, K., et al.: Nature 412, 510 (2001) ADSCrossRefGoogle Scholar
  23. 23.
    Koizumi, H.: J. Phys. Soc. Jpn. 77, 123708 (2008) ADSCrossRefGoogle Scholar
  24. 24.
    Berciu, M., John, S.: Phys. Rev. B 69, 224515 (2004) ADSCrossRefGoogle Scholar
  25. 25.
    Anderson, P.W.: Science 288, 480 (2000) CrossRefGoogle Scholar
  26. 26.
    Fujita, M., Goka, H., Yamada, K., Tranquada, J.M., Regnault, L.P.: Phys. Rev. B 70, 104517 (2004) ADSCrossRefGoogle Scholar
  27. 27.
    Wang, Y., Xu, Z.A., Kakeshita, T., Uchida, S., Ono, S., Ando, Y., Ong, N.P.: Phys. Rev. B 64, 224519 (2001) ADSCrossRefGoogle Scholar
  28. 28.
    Wang, Y., Li, L., Naughton, M.J., Gu, G.D., Uchida, S., Ong, N.P.: Phys. Rev. Lett. 95, 247002 (2005) ADSCrossRefGoogle Scholar
  29. 29.
    Wang, Y., Li, L., Ong, N.P.: Phys. Rev. B 73, 024510 (2006) ADSCrossRefGoogle Scholar
  30. 30.
    Doiron-Leyraud, N., Proust, C., LeBoeuf, D., Levallois, J., Bonnemaison, J.-B., Liang, R., Bonn, D.A., Hardy, W.N., Taillerfer, L.: Nature 447, 565 (2007) ADSCrossRefGoogle Scholar
  31. 31.
    LeBoeuf, D., Doiron-Leyraud, N., Levallois, J., Daou, R., Bonnemaison, J.-B., Hussey, N.E., Balicas, L., Ramshaw, B.J., Liang, R., Bonn, D.A., et al.: Nature 450, 533 (2007) ADSCrossRefGoogle Scholar
  32. 32.
    Longuet-Higgins, H.C., Öpik, U., Pryce, M.H.L., Sack, R.A.: Proc. R. Soc. A 244, 1 (1958) ADSzbMATHCrossRefGoogle Scholar
  33. 33.
    Herzberg, G., Longuet-Higgins, H.C.: Discuss. Faraday Soc. 35, 77 (1963) CrossRefGoogle Scholar
  34. 34.
    Mead, C.A., Truhlar, D.G.: J. Chem. Phys. 70, 2284 (1979) ADSCrossRefGoogle Scholar
  35. 35.
    Yoshida, T., Hashimoto, M., Ideta, S., Fujimori, A., Tanaka, K., Mannella, N., Hussain, Z., Shen, Z.-X., Kubota, M., Ono, K., et al.: Phys. Rev. Lett. 103, 037004 (2009) ADSCrossRefGoogle Scholar

Copyright information

© The Author(s) 2011

Authors and Affiliations

  1. 1.Institute of Materials ScienceUniversity of TsukubaTsukubaJapan

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