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Low-energy theory and RKKY interaction for interacting quantum wires with Rashba spin-orbit coupling

Schulz, A., De Martino, A., Ingenhoven, P. and Egger, R. (2009). Low-energy theory and RKKY interaction for interacting quantum wires with Rashba spin-orbit coupling. Physical Review B (PRB), 79(20), doi: 10.1103/PhysRevB.79.205432

Abstract

We present the effective low-energy theory for interacting 1D quantum wires subject to Rashba spin-orbit coupling. Under a one-loop renormalization group scheme including all allowed interaction processes for not too weak Rashba coupling, we show that electron-electron backscattering is an irrelevant perturbation. Therefore no gap arises and electronic transport is described by a modified Luttinger liquid theory. As an application of the theory, we discuss the RKKY interaction between two magnetic impurities. Interactions are shown to induce a slower power-law decay of the RKKY range function than the usual 1D noninteracting cos(2kFx)/|x| law. Moreover, in the noninteracting Rashba wire, the spin-orbit coupling causes a twisted (anisotropic) range function with several different spatial oscillation periods. In the interacting case, we show that one special oscillation period leads to the slowest decay, and therefore dominates the RKKY interaction for large separation.

Publication Type: Article
Additional Information: 11 pages, 1 figure; v2: minor changes, published version
Subjects: Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
Related URLs:
URI: http://openaccess.city.ac.uk/id/eprint/1656
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