Al'tshuler-Aronov correction to the conductivity of a large metallic square network
| dc.creator | Texier, Christophe | |
| dc.creator | Montambaux, Gilles | |
| dc.date | 2007-04-05 | |
| dc.date.accessioned | 2026-07-07T09:31:09Z | |
| dc.date.available | 2026-07-07T09:31:09Z | |
| dc.description | We consider the correction $Δσ_\mathrm{ee}$ due to electron-electron interaction to the conductivity of a weakly disordered metal (Al'tshuler-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 $Δσ_\mathrm{ee}(L_T)$ as a function of the thermal length $L_T$ is found very similar to the variation of the weak localization $Δσ_\mathrm{WL}(L_ϕ)$ as a function of the phase coherence length. Our result for $Δσ_\mathrm{ee}$ interpolates between the known 1d and 2d results, but the interaction parameter entering the expression of $Δσ_\mathrm{ee}$ keeps a 1d behaviour. Quite surprisingly, the result is very close to the 2d logarithmic behaviour already for $L_T\sim{a}/2$, where $a$ is the lattice parameter. | |
| dc.description | 6 pages, RevTex4, 3 eps figures | |
| dc.identifier | https://arxiv.org/abs/0704.0741 | |
| dc.identifier | http://arxiv.org/abs/0704.0741 | |
| dc.identifier | Phys. Rev. B 76, 094202 (2007) | |
| dc.identifier | doi:10.1103/PhysRevB.76.094202 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158359 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Al'tshuler-Aronov correction to the conductivity of a large metallic square network | |
| dc.type | text |