Abstract
We describe mean-field calculations of the properties of the dilute t-J model for high-${\mathit{T}}_{\mathit{c}}$ superconductors. We first discuss a physical motivation for the model in terms of the effects of oxygen vacancies and the appropriate parametrization for a qualitative description of high-${\mathit{T}}_{\mathit{c}}$ superconductors. We briefly review our mean-field numerical methods. We present results on the density of states, local carrier density, the transition temperature as a function of carrier concentration, oxygen-vacancy concentration, and elastic-scattering impurity concentration, as well as the dc conductivity. These are compared with experiment on high-${\mathit{T}}_{\mathit{c}}$ materials. We conclude that the model is a promising framework for understanding high-${\mathit{T}}_{\mathit{c}}$ materials microscopically.
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