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Fermi surface, pseudogap and superconductivity in the t-J model

Fermi surface, pseudogap and superconductivity in the t-J model. A. Ramšak a nd P. Prelovšek. Faculty of Mathematics and Physics ( Univ . of Ljubljana ) J. Stefan Institute, Ljubljana, Slovenia. &. t - J model. t - J Hamiltonian:. Green’s function s :. Spectral function s :.

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Fermi surface, pseudogap and superconductivity in the t-J model

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  1. Fermi surface, pseudogap and superconductivity in the t-J model A. Ramšak andP. Prelovšek Faculty of Mathematics and Physics (Univ. ofLjubljana) J. Stefan Institute, Ljubljana, Slovenia &

  2. t-Jmodel

  3. t-J Hamiltonian: Green’s functions: Spectral functions:

  4. doping-dependent hopping equations of motion for

  5. doping-dependent hopping equation of motion for ‘Self Consistent Born Approximation’: ; …..

  6. doping-dependent hopping equation of motion for SCBA decoupling

  7. doping-dependent hopping equation of motion for SCBA dynamical spin susceptibility

  8. SCBA q (0,) (, ) (0,0) (,0)

  9. (0,) (, ) (0,0) (,0)

  10. (0,) (, ) (0,0) (,0)

  11. Fermi surface Exact diag.: large Fermi surface One hole results: small Fermi surface (hole pockets)

  12. SCBA: 1 hole Fermi arcs?

  13. t’> 0 t’< 0

  14. Finite doping P. Prelovšek and A. Ramšak, Phys. Rev. B, 63, 180606(R) (2001)

  15. PG P. Prelovšek and A. Ramšak, Phys. Rev. B, 63, 180606(R) (2001)

  16. A - B C ? D Hole concentration versus chemical potential and the corresponding electron momentum distribution function nk. P. Prelovšek and A. Ramšak (2002).

  17. (, ) (A)ch=0.28 (0, ) (0, ) (, ) (0,0) nk (,0) (0,0) |nk| (,0)

  18. (, ) (B)ch=0.19 (0, ) (0, ) (, ) (0,0) nk (,0) (0,0) |nk| (,0)

  19. (, ) (C)ch=0.11 (0, ) (0, ) (, ) (0,0) nk (,0) (0,0) |nk| (,0)

  20. (, ) (D)ch=0.04 (0, ) (0, ) (, ) (0,0) nk (,0) (0,0) |nk| (,0)

  21. Aproximate analysis (0,) (, ) (0,0) (,0)

  22. (0, ) (0, 0) (, ) (,0)

  23. (0, ) (, ) (0,0) (,0)

  24. (0, ) (, ) (0,0) (,0)

  25. (0, ) (, ) (0,0) (,0)

  26. (0, ) (, ) (0,0) (,0)

  27. Pseudogap

  28. A. Ramšak, P. Prelovšek, and I. Sega (2001)

  29. QP P. Prelovšek and A. Ramšak(2002).

  30. A(k,) k kF /t

  31. Opening of the gap:

  32. Temperature dependence:

  33. Superconductivity extract Ramšak and Prelovšek, 2003

  34. Summary Fermi surface Pseudogap Superconductivity

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