Rashba coupling and magnetic order in correlated helical liquids

摘要: Institut fur Theoretische Physik und Astrophysik, Universitat Wurzbur g, Am Hubland, 97074 Germany(Dated: January 13, 2015)We study strongly correlated helical liquids with and without Rashba coupling using quantumMonte Carlo simulations of the Kane-Mele model a Hubbard interaction at edge. Inde-pendent coupling, we nd that interactions enhance spin correlations suppressthe spectral weight Fermi level. For suciently strong interactions, gap can be observed inthe single-particle function. However, based on nite-size scaling analysis theoreticalarguments, argue this is closed by order parameter uctuations in Luttinger liquidphase even zero temperature, lled thermally induced kinks Mott phase nite temperatures. While bosonization suggests an umklapp-driven Motttransition only presence hence signi cant impact latter, ournumerical results are almost una ected low