Two-dimensional Bose-Einstein condensation in cuprate superconductors

A binary gas of noninteracting, temperature-dependent Cooper pairs in chemical/thermal equilibrium with unpaired fermions is studied in a two-dimensional (2D) boson-fermion statistical model analogous to an atom plus diatomic-molecule system. The model naturally suggests a more convenient definition for the bosonic chemical potential whereby access into the degenerate Fermi region of positive fermion chemical potential is now possible. The linear (as opposed to quadratic) dispersion relation of the pairs yields substantially higher Tcs than with BCS or pure-boson Bose-Einstein condensation theories, and fall within the range of empirical Tcs for quasi-2D copper oxide superconductors.