Probing electron-electron interaction along with superconducting fluctuations in disordered TiN thin films

In two-dimensional (2D) disordered superconductors prior to superconducting (SC) transition, the appearance of a resistance peak in temperature dependent $R(T)$ measurements indicates presence weak localization (WL) and electron-electron interaction (EEI) diffusion channel SC fluctuations Cooper channel. Here, we demonstrate an interplay between EEI by low-temperature magnetotransport for set 2D TiN thin films. While cooling sample, characteristic ${T}^{*}$ is obtained from at which start appear. The upturn above corresponds WL and/or EEI. By field dependences observed resistance, show that originates mainly with negligible contribution WL. Further, have used modified Larkin's attraction strength $\ensuremath{\beta}(T/{T}_{\mathrm{c}})$, containing field-induced pair-breaking parameter, Maki-Thompson fluctuation term. dependence $\ensuremath{\beta}(T/{T}_{\mathrm{c}})$ magnetoresistance (MR) analysis shows diverging behavior close ${T}_{\mathrm{c}}$, it remains almost constant higher within limit $\mathrm{ln}(T/{T}_{\mathrm{c}})<1$. Interestingly, variation on reduced $(T/{T}_{\mathrm{c}})$ offers common trend has been closely followed all concerned samples presented this paper. Finally, inverse phase scattering time (${\ensuremath{\tau}}_{\ensuremath{\phi}}^{\ensuremath{-}1}$), as MR analysis, clearly two different regimes; first one ${T}_{\mathrm{c}}$ follows Ginzburg-Landau relaxation rate $({\ensuremath{\tau}}_{\mathrm{GL}}^{\ensuremath{-}1})$, whereas second high varies linearly temperature, indicating dominance inelastic dephasing mechanism. These regimes are generic way despite being grown under growth conditions.