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Electronic antiferromagnetic correlations in cuprates phase diagram

Modern state-of-the-art techniques allow us to explore the magnetic and electronic structures of cuprates throughout the whole phase diagram, which defines the central questions on their emergent high temperature superconductivity. However, a simplified and unified description of the order parameters in these colorful phases together with their complex relations is still undetermined. Here we establish this phase diagram and the related structures based on recent experimental progresses with emphasizing several essential equations, and we try to understand them under the framework of antiferromagnetic (AF) correlation using the simplest mathematics. This model independent description of cuprates phase diagram gives both clues and constraints to a final microscopic theory of the cuprates superconductivity.