Aspects of electron correlations in the cuprate superconductors

Abstract

We review concepts and effects of electron correlations in the copper-oxide superconductors. The purpose of this article is twofold. First, we provide an overview of results of various electron spectroscopies, Raman scattering and optical conductivity studies with a particular emphasis on experiments which identify the charge and spin correlations relevant to the cuprates. Second, we focus on microscopic theories of the single-particle excitations, and the charge and spin dynamics in the normal state of cuprates considering those models which incorporate strong electron correlations. The single-particle spectrum of the three-band Hubbard model is reviewed and related to results of electron spectroscopy. The carrier dynamics in the t- J model and the one-band Hubbard model at low doping is discussed in detail. We examine approaches which describe the single-particle excitations of correlated electron systems at finite doping. Theories of the static and dynamic magnetic correlations are considered and we speculate on the consequences of the spin dynamics for Raman scattering and the optical conductivity. Finally, selected phenomenological ideas are reviewed.