| We consider the correction (Altshuler-Aronov) due to electron-electron interaction to the conductivity of a network of weakly disordered wires. The correction is related to the spectral determinant of the diffusion equation. The case of a large square metallic network is considered. The variation of this correction as a function of the thermal length is found to be very similar to the variation of the weak localization correction as a function of the phase coherence length. Our result for the interaction correction interpolates between the known 1d and 2d results, but the interaction parameter entering its expression keeps a 1d behaviour. Quite surprisingly, the result is very close to the 2d logarithmic behaviour already for a thermal length smaller than the lattice parameter of the network (Done in collaboration with Christophe Texier). |
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