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, Fabrizio; 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]

Renormalization group approach for the scattering off a single Rashba impurity in a helical liquid

DOLCINI, FABRIZIO;
2012

Abstract

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2502482
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