Properties of the gap energy in the van Hove scenario of high-temperature superconductivity
J. M. Getino, M. de Llano, H. Rubio
DOI 10.1103/PhysRevB.48.597 · Physical Review B
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Abstract
An exact transition-temperature (Tc) formula is derived within the van Hove scenario of BCS phonon-mediated pairing theory consisting of a logarithmic singularity in the density of states (DOS) at the Fermi energy. Also evaluated are a near-exact zero-temperature gap-energy expression along with an exact (numerical) temperature-dependent gap energy. Though Tc is greatly enhanced over the conventional BCS (constant DOS) value for given (weak) coupling, the zero-temperature gap-to-Tc ratio and the temperature-dependent gap energy both differ little from the BCS values.
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