Quantum contributions to the magnetoconductivity of critically disordered superconducting TiN films

The onset of superconductivity in the presence of disorder is a fundamental problem of condensed matter physics. Here we investigate the magnetoconductance of disordered () superconducting TiN films above the critical temperature T _c. We show that the magnetoconductivity of moderately disordered films with is in full agreement with the perturbative theory of quantum contributions to conductivity. We demonstrate that the magnetoconductivity of films with is also in agreement with the perturbative theory down to temperatures . The quantitative discrepancy between experiment and theory develops only below temperatures for films with . This discrepancy can be eliminated if we assume steeper temperature dependence of the Larkin's electron–electron attraction strength, . The obtained temperature dependence of electron phase breaking time is in agreement with theoretical predictions for all samples. (paper)