Persistent currents in a multicomponent Tomonaga-Luttinger liquid: Application to a mesoscopic semiconductor ring with spin-orbit interaction

摘要

We study persistent currents in semiconductor ballistic rings with spin-orbit Rashba interaction. We use as a working model the multicomponent Tomonaga-Luttinger liquid which arises due to the nonparabolic dispersion relations of electrons in the rings with rather strong spin-orbit coupling. This approach predicts some characteristic features of persistent currents, which may be observed in experimental studies of semiconductor ballistic rings.