2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/24602We calculate the spin-Hall conductivity for a two-dimensional electron gas within the self-consistent Born approximation, varying the strength and type of disorder. In the weak disorder limit we find both analytically and numerically a vanishing spin-Hall conductivity even when we allow a momentum dependent scattering. Separating the reactive from the disspative current response, we find the universal value $σ^R_{sH} = e/8 π$ for the reactive response, which cancels however with the dissipative part $σ^D_{sH} = -e/8 π$.4 pagesMesoscale and Nanoscale Physicstext