Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2009-02-25
Phys. Rev. B 79, 205432 (2009)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
11 pages, 1 figure; v2: minor changes, published version
Scientific paper
10.1103/PhysRevB.79.205432
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 $\cos(2k_F x)/|x|$ 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.
Egger Reinhold
Ingenhoven Philip
Martino Alessandro de
Schulz Andreas
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