Fermi Surface and Spin Fluctuations in Extended<i>t</i>-<i>J</i>Model

The spin fluctuations in the extended t - J model have been investigated in the slave-boson mean-field theory by extending the early work by Suzumura et al. [J. Phys. Soc. Jpn. 57 (1988) 2768] based on both uniform and singlet RVB (Resonating Valence Bond). By choosing the transfer integrals to reproduce the Fermi surface of LSCO and YBCO, which is essentially rotated by 45°, it is found that incommensurate spin fluctuations can be expected for the Fermi surface of LSCO type, whereas only commensurate ones for that of YBCO type, in agreement with experiments. Moreover, the Knight shift is shown to decrease as the temperature is lowered in the presence of the singlet RVB, while it is essentially independent of temperature in the uniform RVB state. These two cases correspond to, in our classification, T c =60 K and T c =90 K YBCO systems, which also agrees with the qualitative difference observed experimentally.

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