Eliashberg Calculation of the Momentum-Resolved Self-Energy for the Cuprate Superconductors Induced by the Spin Fluctuations

구리 산화물 계열 초전도체에서의 스핀 요동에 의한 자체 에너지의 엘리아시버그 계산

  • Received : 2012.04.06
  • Accepted : 2012.04.11
  • Published : 2012.04.30

Abstract

We solve the momentum resolved d-wave Eliashberg equation employing the magnetic excitation spectrum from the inelastic neutron scattering on the LSCO superconductors reported by Vignolle et al. The magnetic excitation spectrum exhibits 2 peaks: a sharp incommensurate peak at 18 meV at momentum (${\pi}$, ${\pi}{\pm}{\delta}$) and (${\pi}{\pm}{\delta}$, ${\pi}$) and another broad peak near 40~70 meV at momentum (${\pi}$, ${\pi}$). Above 70 meV, the magnetic excitation spectrum has a long tail that is shaped into a circle centered at (${\pi}$, ${\pi}$) with ${\delta}$. The sign of the real part of the self-energy is determined by the momentum position of the peaks of the magnetic excitation spectrum and bare dispersion. We will discuss the effects of the each component of the magnetic excitation spectrum on the self-energy, the pairing self-energy.

Keywords

References

  1. J. G. Bednorz and K. A. Mueller, Z. Phys. B 64, 189-193 (1986). https://doi.org/10.1007/BF01303701
  2. T. Yoshida et al., Phys. Rev. B 74, 224510 (2006). https://doi.org/10.1103/PhysRevB.74.224510
  3. X. J. Zhou et al., Phys. Rev. Lett. 92, 187001 (2004). https://doi.org/10.1103/PhysRevLett.92.087001
  4. J. M. Bok et al., Phys. Rev. B 81, 174516 (2010). https://doi.org/10.1103/PhysRevB.81.174516
  5. K. Terashima et al., Phys. Rev. Lett 99, 017003 (2007). https://doi.org/10.1103/PhysRevLett.99.017003
  6. A. W. Sandvik et al., Phys. Rev. B 69, 094534 (2004).
  7. G. Levy De Castro et al., Phys. Rev Lett. 101, 267004 (2008). https://doi.org/10.1103/PhysRevLett.101.267004
  8. M. Eschrig et al., Phys. Rev. B. 67, 144503 (2003). https://doi.org/10.1103/PhysRevB.67.144503
  9. B. Vignolle et al., Natrue Physics 3, 163 (2007). https://doi.org/10.1038/nphys546
  10. T. Dahm et al., Nature Physics 3, 163 (2007). https://doi.org/10.1038/nphys546
  11. E. Schachinger., Phys. Rev. B 77, 094524 (2008). https://doi.org/10.1103/PhysRevB.77.094524