Magnetoresistance of amorphous Cu-Ti alloys: The spin-orbit scattering time within weak localization

The magnetoresistance of amorphous nonsuperconducting Cu-Ti alloys is analyzed with the weak-localization theory including spin-splitting and electron-electron interaction theories. The values of the spin-orbit scattering times ${\tau }_{\mathrm{s}.\mathrm{o}.\mathrm{}}$ are found to be larger than values obtained from analyses neglecting the spin-splitting effect within weak localization or from the temperature dependence of the resistivity. ${\tau }_{\mathrm{s}.\mathrm{o}.\mathrm{}}$ increases slowly with decreasing Cu content.