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Sample text
They discussed the possibility of the non-s-wave pairing state in the three-dimensional fermion gas model within the second-order perturbation. This general concept is particularly important for the comprehensive understanding from the under-doped to the over-doped region. This is because the spin uctuation theory loses its justiÿcation in the over-doped region, where the spin uctuation is not clearly observed but Tc remains substantially. 3) have been quite instructive, in the sense that the roles of the RPA and non-RPA terms are clariÿed.
The combination of the diagrammatic techniques and the quantum Monte Carlo simulation has shown that the e ective pairing interaction and the spin susceptibility are consistently obtained by the 42 Y. Yanase et al. / Physics Reports 387 (2003) 1 – 149 (a) (b) Fig. 27. (a) The lowest-order vertex correction in the phenomenological spin uctuation theory. (b) The e ective interaction corresponding to the multi-paramagnon exchange. Here, the solid and wavy lines are the propagator of the fermion and spin uctuation, respectively.
Fig. 13. Diagrammatic representation of the normal self-energy within the RPA or FLEX approximation. The bare (dressed) Green function is used in the RPA (FLEX). + + + + +... +..... Fig. 14. The e ective interaction within the RPA or FLEX approximation. and 1 1 Vat (k; k ) = − U 2 s (k − k ) − U 2 c (k − k ) ; (34) 2 2 respectively. Because 0 (q) ¿ 0 at n = 0, the spin part generally gives larger contribution than the charge part. In particular, the contribution from the charge susceptibility is suppressed in the vicinity of the magnetic instability ( 0 (q) ∼ 1).
Physics Reports vol.387
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