Theory of Doped Mott insulators: Duality between Pairing and Magnetism

Abstract

By bosonizing the electronic $t\mathrm{\text{\ensuremath{-}}}J$ model exactly on any two-dimensional (2D) lattices, and integrating out the gauge fluctuations combined to slave particles beyond mean fields, we obtain a theory in terms of physical Cooper pair and spin condensates. In the sense of mutual Berry phase they turn out to be dual to each other. The mutual duality is the missing key in the resonant-valance-bond idea [Science 235, 1196 (1987)] to work as a paradigm of doped 2D Mott insulators. We argue that the essential aspects of high-${T}_{c}$ phenomenology can be explained in the present framework.

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• Physical Review Letters - View
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