CPA treatment of superconducting alloys

The theory of strong coupling superconductivity in disordered transition metal alloys

“…The elastic or Hartree-Fock-Bogolubov part of the Coulomb mass operator, not included in (17) and (19) (20) ~iza (oo) =T,S,,r3 2 J_~…”

Theory of superconducting alloys

“…Although qualitative insight rather than quantitative agreement is aspired to, we emphasize that this simple model accounts for superconducting A B alloy systems quite satisfactorally, as we have shown recently. 1 The essential quantity which contains the dynamics of the disordered system is the configuration-dependent matri.x Green's function with elements [G"~l ~'= ( (c~' ' cj+~>: (c~r " cJ~>: 1 (1) In order to get a closed equation of motion for G(z), we combine the usual generalized Hartree-Fock treatment of BCS superconductivity with a Hartree-Fock description of band magnetism. Thus, introducing a linearized variational Hamiltoniam…”

“…Following the usual CP procedure, 3 we relate the configurationdependent Green's function (1) to the averaged Green's function G by means of a configuration-dependent T-matrix :…”

Electron–Phonon Interaction Influence on Electron and Phonon Excitations in Amorphous Metals

“…The amorphous superconductors may be superconductors both with weak and strong coupling [27, 281 for different materials. The generalization of the coherent potential method for superconducting alloys has been performed in [30,311. In [32] it was shown that impurity renormalization of the electron-phonon kernel of Eliashberg's integral equation leads to an increase of the temperature of the transition to the superconducting state in disordered systems.…”