2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/24939We study the interplay of electron-electron interactions and Rashba spin-orbit coupling in one-dimensional ballistic wires. Using the renormalization group approach we construct the phase diagram in terms of Rashba coupling, Tomonaga-Luttinger stiffness and backward scattering strength. We identify the parameter regimes with a dynamically generated spin gap and show where the Luttinger liquid prevails. We also discuss the consequences for the operation of the Datta-Das transistor.4 pages, 2 figuresMesoscale and Nanoscale PhysicsStrongly Correlated Electronstext