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We present in this paper the conductance maps at 100 mK in the disorderedpolycrystalline film of titanium nitride (TiN). At 5 nm, the film is close toquasi-two dimensional limit and exhibits features pertaining to thesuperconductor to insulator transition. We measured conductance maps at zerofield and at 4 T, which represent the superconducting and the normal phase,respectively. The conductance map at 4 T is uniform, in which the conductancebehavior, with logarithmic variation, resembles to the disorder enhancedelectron-electron interaction in the two dimensional metallic phase. At lowfields we observe the spatial variations of the conductance in thesuperconducting phase. At several places the superconducting energy gapfluctuates to an extent that the quasi-particle peaks are absent in theconductance curves. The conductance map over a region encompassing only fewcrystallites suggests that the inhomogeneities in the superconducting phaserelated to the spatial variations of the electronic density are across thecrystalline boundaries.

Local electronic properties in the superconducting and the normal phase in the disordered film of titanium nitride