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 | |
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Data di pubblicazione: | 2012 | |
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Digital Object Identifier (DOI): | http://dx.doi.org/10.1103/PhysRevB.86.121106 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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Crepin-Budich-Dolcini_PRB_86_121106_2012.pdf | 2. Post-print / Author's Accepted Manuscript | PUBBLICO - Tutti i diritti riservati | Visibile a tuttiVisualizza/Apri |
http://hdl.handle.net/11583/2502482