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Abstract: We develop a microscopic model of layered superconductors, designed specifically for the high Tc cuprates, which is valid at all temperatures below the degeneracy temperature and for all relevant length scales. The model is based on the original idea of Bulaevskii, and consists of a stack of two-dimensional conducting planes coupled via inter-layer diffusion of charge carriers. The microscopic model presented here reduces to the phenomenological Ginzburg-Landau, Lawrence-Doniach and anisotropic London models in the appropriate limits. We derive the main equations of the inter-layer diffusion model, then use the model to examine the role of dimensionality and inter-layer scattering on the magnetic properties of layered superconductors.
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