Magnetic properties of underdoped high-T-c cuprates characterized by a spin
gap are interpreted in a unified scheme based on the mode-mode coupling th
eory. By taking one phenomenological relation for the damping rate of the c
ollective modes, it takes account of two different types of pseudogap behav
ior in spin excitations and spin gap: (I) the damping rate of spin excitati
ons decreases as the temperature decreases, but the spin correlation length
does not; (II) the spin correlation length itself turns to decrease. In ca
se (I), low-energy spectral weights shift to higher energies near the spin
gap determined by the super conducting transition temperature, which reprod
uces the observed resonance peak. (C) 2000 Elsevier Science Ltd. All rights
reserved.