The role of the quasi-two-dimensionality of the CuO2 planes in the genesis of high-temperature superconductivity in the cuprates is described. Strongly layered materials have high transition temperatures (Tc) in comparison to other materials in their general class and Tc is inversely correlated with the degree of contact between neighboring layers. The maximum value as a function of doping of Tc(n) is in homologous series of which the n = 1,2, and 3 members are realized. According to the Berezinskii-Kosterlitz-Thouless (BKT) theory, if the transition temperature, as calculated in standard mean-field theory, is Tc(0) , then the effect of spontaneous creation of vortex-antivortex pairs is to depress the actual Tc to a lower value. It was also found that interplane Coulomb interactions increase the superconducting condensation energy and hence Tc.
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics