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EN
Quantum interference revealed in Bi_2Sr_2Ca Cu_2O_{8+δ} by Fourier transform scanning spectroscopy is primarily determined by maxima of the joint density of states which correspond to an octet of scattering wave vectors connecting points at the constant quasiparticle energy contours where the density of states is maximal. We consider a superconductor with a constant quasiparticle density of states where the interference is due to the fourfold change in the phase of the order parameter. Our results may be helpful in a discussion of the interference in a d-wave superconductor at the tunneling energy exceeding the gap magnitude.
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EN
We study the problem of a thin film of neutral fermions in the presence of a magnetic field and scattering on random, uncorrelated irregularities at the boundaries of the film. An attractive interaction of s-wave type is assumed. We solve the equation for the energy gap and demonstrate its dependence on both the field and the scattering strength. The phase diagram is found. There exists a critical point (T_{c}^{*}, H_{c}^{*}). For temperatures below T_{c}^{*} the phase transition is of the first order and of the second order above it. As expected, the surface scattering significantly reduces the values of the critical field and temperature T_{c}. The critical point changes its position with increasing scattering rate but is not removed from the phase diagram until superfluidity is destroyed.
EN
We discuss a direct effect of the energy band splitting due to the antisymmetric spin-orbit coupling on the superconducting phase transition. Employing the square lattice tight-binding model we show a significant contribution of the spin-split energy band to the pair-breaking effect in the weak- and intermediate-coupling non-centrosymmetric superconductors. We establish a general tendency of the spin-orbit coupling to suppress the critical temperature of the spin singlet and triplet states. For the weak-coupling systems we report a possible development of sharp maxima of the critical temperature for the band fillings which support the spin-orbit coupling induced Fermi surface singularities of the density of states. We note that the initial suppression of the most stable triplet state becomes comparable to the suppression of other triplet states in the intermediate-coupling regime of superconductivity.
EN
We discuss the d-wave superconductivity in confined geometry by imposing open boundary conditions on the attractive Hubbard model. Within the Bogoliubov-de Gennes approach we evaluate the order parameter and charge density distribution in the system.
EN
Nonmagnetic impurity on-site potential leads to the resonant states in a d-wave superconductor for the unitary scattering limit. We extend the above study to include a momentum dependence of the impurity potential and discuss the existence and number of resonant states for a tetragonal anisotropy of the scattering potential.
EN
Momentum dependence of the impurity potential leads to the anisotropy of a local density of states in isotropic s-wave superconductors. We complete this result by discussing the influence of a momentum-dependent impurity potential on the s-wave order parameter. The scattering process is considered in the T-matrix approximation, and the model impurity potential consists of two separate terms representing isotropic (on-site) and anisotropic (momentum-dependent) parts of the potential. We show that the effect of the isotropic part on the order parameter is local whereas the influence of the momentum-dependent term is nonlocal.
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