Abstract
As a model of the cuprate superconductors, we have studied thep hole motion in a planar antiferromagnetic (AFM) background and ac-axis boson field. The indirect coupling between thed spins through thep holes is considered. In a range of the hole concentration, the indirect Cu−Cu interaction enhances the planar AFM coupling though it destroys the weakc-axis AFM order. At higher concentrations, the compensation of thed spins by thep holes occurs. For the strongp-d exchange coupling, thep holes can pair to form small magnetic bipolarons in the enhanced planar AFM background. The in-plane motion of the bipolarons is independent of thec-axis motion assisted by bosons. The superconducting properties of the cuprate superconductors are determined by a 2+1 dimensional bipolaron Hamiltonian. The results obtained from our model are consistent with the observations on the cuprate superconductors.
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Cheng, Z. Bipolaronic superconductivity in antiferromagnets. Z. Physik B - Condensed Matter 91, 161–168 (1993). https://doi.org/10.1007/BF01315231
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DOI: https://doi.org/10.1007/BF01315231