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- W2149366996 abstract "We consider the correction $ensuremath{Delta}{ensuremath{sigma}}_{mathrm{ee}}$ due to electron-electron interaction to the conductivity of a weakly disordered metal (Altshuler-Aronov correction). The correction is related to the spectral determinant of the Laplace operator. The case of a large square metallic network is considered. The variation of $ensuremath{Delta}{ensuremath{sigma}}_{mathrm{ee}}({L}_{T})$ as a function of the thermal length ${L}_{T}$ is found very similar to the variation of the weak localization $ensuremath{Delta}{ensuremath{sigma}}_{mathrm{WL}}({L}_{ensuremath{varphi}})$ as a function of the phase coherence length. Our result for $ensuremath{Delta}{ensuremath{sigma}}_{mathrm{ee}}$ interpolates between the known one-dimensional (1D) and two-dimensional (2D) results, but the interaction parameter entering the expression of $ensuremath{Delta}{ensuremath{sigma}}_{mathrm{ee}}$ keeps a 1D behavior. Quite surprisingly, the result is very close to the 2D logarithmic behavior already for ${L}_{T}ensuremath{sim}a∕2$, where $a$ is the lattice parameter." @default.
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- W2149366996 date "2007-09-12" @default.
- W2149366996 modified "2023-09-25" @default.
- W2149366996 title "Altshuler-Aronov correction to the conductivity of a large metallic square network" @default.
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- W2149366996 doi "https://doi.org/10.1103/physrevb.76.094202" @default.
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