Abstract

An exact-diagonalization technique on small clusters is used to study excitation spectra and superconductivity in the two-dimensional t- J model. We demonstrate that the low-lying excitations in a wide parameter ( J/ t) and doping regions of the model are described well by the picture of dressed Bogoliubov quasiparticles within the BCS pairing theory. The pairing occurs predominantly in d x 2− y 2 -wave channel and the energy gap has a size Δ d⋍0.15J−0.27J between quarter and half fillings.

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