ELECTRON-PHONON COUPLING AS A MECHANISM FOR HIGH-TEMPERATURE SUPERCONDUCTIVITY

We have solved the Eliashberg gap equations which are valid for arbitr ary phonon frequency, (OMEGA(ph)), electron-phonon coupling constant, (lambda), and screened Coulomb interaction, (mu). We have used values of OMEGA(ph), lambda, and mu appropriate to the cuprate superconduct ors, and calculated the density of states, the pair potential, and the value of the gap at T = 0 K. Using the linearized Eliashberg equation s in the matrix representation, we have calculated T(c) and 2DELTA/kT( c). We have found that we can account for the high T(c)'s in the cupra tes with reasonable values for lambda, mu, and OMEGA(ph).