The occurrence of two-particle inelastic backscattering has been conjectured in helical edge states of topological insulators and is expected to alter transport. Here, by using a renormalization group approach, we provide a microscopic derivation of this process, in the presence of a time-reversal invariant Rashba impurity potential. We are able to prove that such an effect only occurs in the presence of electron-electron interactions. Furthermore, we find that the linear conductance as a function of temperature exhibits a crossover between two scaling behaviors, T^4K for K>1/2 and T^(8K−2) for K<1/2, with K the Luttinger parameter.
Renormalization group approach for the scattering off a single Rashba impurity in a helical liquid / Crepin F.; Budich J. C.; Dolcini F.; Recher P.; Trauzettel B.. - In: PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS. - ISSN 1098-0121. - STAMPA. - 86:12(2012), pp. 121106-1-121106-4. [10.1103/PhysRevB.86.121106]
|Titolo:||Renormalization group approach for the scattering off a single Rashba impurity in a helical liquid|
|Data di pubblicazione:||2012|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1103/PhysRevB.86.121106|
|Appare nelle tipologie:||1.1 Articolo in rivista|