From the Cu-63 Knight shift and the nuclear spin-lattice relaxation rate un
der magnetic fields from zero up to 28 T in the underdoped (U) YBa2Cu4O8 an
d the slightly overdoped (O) TlSr2CaCu2O6.8 We find that the spin-gap (pseu
dogap) behaviors show contrasting response to magnetic fields in the U and
O compounds. In the O compound. the spin-gap is strongly field dependent an
d can be accounted for by the superconducting fluctuation effects, but that
in the U compound shows no field dependence. The implication is discussed.
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