Pairing theory of high Tc and low Tc superconductors

Abstract

New solutions for T c, the order parameter, and the density of states are obtained, based on the fact that pairs are formed within the pairing interaction range, T D (Debye), via the BCS pairing theory (not the BCS results). They are valiid for all ify = T D πT c , and are applicable to low T c (LTC) and high T c (HTS) superconductors. The order parameter variation with y is shown to account for all features of HTS. A new density of states via the zero order parameter outside the pairing interaction range is found to account for low energy states observed in HTS. For large y (LTS), the BCS results are reproduced.