Abstract

The metallic state arising in the Hubbard system upon doping is described. A structure with one particle per site and a periodic arrangement of local spins with a short-range antiferromagnetic order is taken as a background for charge carriers. The structure consists of antiferromagnetic droplets and, to some extent, imitates a spin liquid. Any of the droplets without charge carriers is in a fixed state with the lowest spin energy. In the case of a square lattice, the role of a droplet is played by a cluster of four nearest neighbours. The energy-band spectra of a single carrier and some two-carrier states are examined. Two carriers within the same droplet can be considered as a new particle. Mutual transformations of this particle and two separate carriers lead to an effective attraction of the carriers and, accordingly, give rise to a bound state of two carriers. This state has zero total spin and symmetry of the dx2-y2-type with an admixture of the s-symmetry. The corresponding superconducting order parameter must have these same symmetries. Some other superconducting properties are briefly discussed. The t-J model is used.

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