Numerical Study of the Current-Voltage Characteristics of Mesoscopic Superconductors

The time dependent Ginzburg-Landau equations (TDGL) describe the dynamic of superconductors. In this work, we generalize a numerical method for integrating the TDGL equations. We formulated them in skew coordinates and also developed a discrete form to study dynamics of Abrikosov vortices generated by applied magnetic field, current. We verified the angle dependence of the response of the system with respect to these parameters. We study superconducting properties of a parallelogram-shaped thin film surrounded by ferromagnetic material and immersed in an external magnetic field applied perpendicular to its plane with and without presence of current. The Link variables method is used in conjunction with skew coordinates and method of fractional steps. The results of the thesis are important for understanding the behaviour of superconducting nanodevices that range from studies in fundamental physics to commercial ultra-fast detectors. The work consists of 28 pages, contains 8 figures and 18 references.