Phase diagram of doped oxide superconductors: A slave-boson approach
Peter S. Riseborough, Peter Hanggi
DOI 10.1103/PhysRevB.47.11540 · Physical Review B
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Abstract
A phase diagram for the doped high-temperature superconductors is calculated, using a tight-binding model for the electronic states in the copper oxide planes. The model includes the oxygen p(x) and p(y) orbitals and the copper 3d(x2-y2) orbitals. The hybridization between the copper d(x2-y2) and the oxygen p(x) and p(y) orbitals is considered, with the direct overlap between the p orbitals of neighboring oxygen ions. The Coulomb interaction is treated by the slave-boson mean-field theory. The system shows a phase diagram consisting of a highly correlated metal, for general values of the doping. For hole doping, there also exists a possible high-temperature state with completely localized d electrons. This occurs if the bare charge-transfer energy is sufficiently large. Thus, for the stoichiometric system there are two possible zero-temperature states; a metallic state and a charge-transfer insulator state. The introduction of the p-p hopping matrix element has a significant effect on the phase diagram. The paramagnetic phase of La2CuO4 is found to be metallic. The mean-field theory does not include the effects of the antiferromagnetic ordering, that could open an antiferromagnetic Slater gap in the metallic system.
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