Competing effects of interactions and spin-orbit coupling in a quantum wire

Abstract

We study the interplay of electron-electron interactions and Rashba spin-orbit coupling in one-dimensional ballistic wires. Using the renormalization group approach we construct the phase diagram in terms of Rashba coupling, Tomonaga-Luttinger stiffness and backward scattering strength. We identify the parameter regimes with a dynamically generated spin gap and show where the Luttinger liquid prevails. We also discuss the consequences for the operation of the Datta-Das transistor.

4 pages, 2 figures

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• Spintronics: Fundamentals and applications
• Scaling Properties of the Two-Chain Model
• Form factors of soliton-creating operators in the sine-Gordon model
• Spin-orbit coupling in interacting quasi-one-dimensional electron systems
• Rashba precession in quantum wires with interaction
• Tomonaga-Luttinger parameters for quantum wires
• Correlation functions for 1d interacting fermions with spin-orbit coupling

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• Spin-charge mixing effects on resonant tunneling in a polarized Luttinger Liquid
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• Synthesizing and Controlling Helical Indirect Exchange Interactions at Nonequilibrium
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• Electron-electron interactions in partially mixed helical states
• Coulomb-exchange effects in nanowires with spin splitting due to a radial electric field
• Effects of a single impurity in a Luttinger liquid with spin-orbit coupling
• Influences of an impurity on the transport properties of one-dimensional antisymmetric spin filter
• Long range alternating spin current order in a quantum wire with modulated spin-orbit interactions
• Breaking of Lorentz invariance caused by the interplay between spin-orbit interaction and transverse phonon modes in quantum wires