Modified exchange interaction between magnetic impurities in spin-orbit coupled quantum wires
arXiv:1903.09700 · doi:10.1088/1361-648X/ab0076
Abstract
Indirect exchange interaction between magnetic impurities in one dimensional systems is a matter of long discussions since Kittel has established that in the asymptotic limit it decays as the inverse of distance x between the impurities. In this work we investigate this problem in a quantum wire with Rashba spin-orbit coupling (SOC). By employing a second order perturbation theory we find that one additional oscillatory term appears in each of the RKKY, the Dzaloshinkii-Moryia and the Ising couplings. Remarkably, these extra terms resulting from the spin precession of the conduction electrons induced by the SOC do not decay as in the usual RKKY interaction. We show that these extra oscillations arise from the finite momenta band splitting induced by the spin-orbit coupling that modifies the spin-flip scatterings occurring at the Fermi energy. Our findings open up a new perspective in the long-distance magnetic interactions in solid state systems.
20 pages, 4 figures
References in corpus (19)
- Spin-orbit coupling in quantum gases
- Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
- An Exact SU(2) Symmetry and Persistent Spin Helix in a Spin-Orbit Coupled System
- Emergence of the persistent spin helix in semiconductor quantum wells
- Observation of a One-Dimensional Spin-Orbit Gap in a Quantum Wire
- Twisted exchange interaction between localized spins embedded in a one- or two-dimensional electron gas with Rashba spin-orbit coupling
- Strong tuning of Rashba spin orbit interaction in single InAs nanowires
- RKKY interaction of magnetic impurities in Dirac and Weyl semimetals
- RKKY interaction in carbon nanotubes and graphene nanoribbons
- RKKY interaction in three-dimensional electron gases with linear spin-orbit coupling
- Low-energy theory and RKKY interaction for interacting quantum wires with Rashba spin-orbit coupling
- Electrically-controllable RKKY interaction in semiconductor quantum wires
- Kondo effect in a quantum wire with spin-orbit coupling
- On the RKKY range function of a one dimensional non interacting electron gas
- Hybridization and anisotropy in the exchange interaction in 3D Dirac semimetals
- Interplay between one-dimensional confinement and crystallographic anisotropy in ballistic hole quantum wires
- Kondo Quantum Dots and the Novel Kondo-doublet interaction
- Anisotropic Heisenberg form of RKKY interaction in the one-dimensional spin-polarized electron gas
- On calculation of RKKY range function in one dimension