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We report that four properties of cuprates and their evolution with dopingare consequences of simply counting four-site plaquettes arising from doping:(1) the universal Tc phase diagram (superconductivity between \approx0.05 and\approx0.27 doping per CuO2 plane, and optimal Tc at \approx0.16), (2) theuniversal doping dependence of the room-temperature thermopower, (3) thesuperconducting neutron spin resonance peak (the "41 meV peak"), and (4) thedispersionless scanning tunneling conductance incommensurability. Properties(1), (3), and (4) are explained with no adjustable parameters, and (2) isexplained with exactly one. The successful quantitative interpretation of fourvery distinct aspects of cuprate phenomenology by a simple counting ruleprovides strong evidence for four-site plaquette percolation in thesematerials. This suggests that inhomogeneity, percolation, and plaquettes playan essential role in cuprates. This geometric analysis may provide a usefulguide to search for new compositions and structures with improvedsuperconducting properties.

the journal of physical chemistry letters

Universal Properties of Cuprate Superconductors: Tc Phase Diagram,  Room-Temperature Thermopower, Neutron Spin Resonance, and STM  Incommensurability Explained in Terms of Chiral Plaquette Pairing