Abstract

An exact-diagonalization technique on finite-size clusters is used to study the ground states and some excitation spectra of the two-dimensional effective Fermi-liquid model derived from numerical studies of the t- J model. We show that there is actually a reasonable range of parameter values where the d-wave pairing of holes occurs and the low-lying excitation can be described by the picture of Bogoliubov quasiparticles in the BCS pairing theory but that the clustering of holes rather easily occurs for some stronger attractions.

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