Abstract
Within the fermion-spin theory, the physical properties of the electron pairing state in copper oxide materials are discussed. According to the common form of the electron Cooper pair, it is shown that there is a coexistence of the electron Cooper pair and magnetic short-range correlation, and hence the antiferromagnetic short-range correlation can persist into the superconducting state. Moreover, the mean-field results indicate that the electron pairing state originating from the pure magnetic interaction in the two-dimensional t- J model is the local state, and then does not reveal the true superconducting ground-state.
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