Abstract

The hole spectrum of the two-dimensionalt-J model is shown to change drastically due to transitions from the long-range to short-range antiferromagnetic order at the hole concentrationx≈0.04 and from the short-range order to a paramagnetic state atx≈0.19. At 0.05≲x≲0.19 the hole band has large flat regions similar to those observed in photoemission. These regions lead to an anomalous 2D Fermi liquid with a 2D Fermi surface. In spite of a sharp maximum produced by the flat regions in the density of states near the Fermi level, the hole-magnon interaction alone was found to be unable to give rise to superconductivity. By adding a moderate interaction with apex oxygen vibrations highTc are obtained fordx2−y2 pairing. Strong odd-frequency s-wave superconducting fluctuations appear near the transition into the paramagnetic state.

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