Eliashberg-type equations for correlated superconductors

Eliashberg-type equations for correlated superconductors.

The derivation of the Eliashberg type equations for a superconductor with strong electron correlations and electron–phonon interaction has been presented. The proper account of short range Coulomb interactions results in strongly anisotropic equations. Possible symmetries of the order parameter include s,p and d-wave. We found the carrier concentration dependence of the coupling constants corre...

The Numerical Solution of the Imaginary-Axis Eliashberg Equations

In the paper, we solve the imaginary-axis Eliashberg equations. We calculate numerically self-consistently the superconducting order function, the wave function renormalization factor, and the energy shift function as a function of the Matsubara frequency. We consider different values of the average number of the electrons per lattice site. Additionally, we study the temperature dependence of t...

Numerical relaxation approach for solving the general Ginzburg-Landau equations for type-II superconductors.

A numerical relaxation approach for solving the general Ginzburg-Landau equations for type-II superconductors is developed. It is erst applied to an isotropic type-II superconductor near H, & in order to establish the reliability and effectiveness of this approach. The strength of this approach should be in dealing with anisotropic and/or inhomogeneous systems. As an initial test of this streng...

Application of Daubechies wavelets for solving Kuramoto-Sivashinsky‎ type equations

We show how Daubechies wavelets are used to solve Kuramoto-Sivashinsky type equations with periodic boundary condition‎. ‎Wavelet bases are used for numerical solution of the Kuramoto-Sivashinsky type equations by Galerkin method‎. ‎The numerical results in comparison with the exact solution prove the efficiency and accuracy of our method‎.    

Vortex dynamics for low- type-II superconductors