Persistent currents in multicomponent Tomonaga-Luttinger liquid: application to mesoscopic semiconductor ring with spin-orbit interaction

Abstract

We study persistent currents in semiconductor ballistic rings with spin-orbit Rashba interaction. We use as a working model the multicomponent Tomonaga-Luttinger liquid which arises due to the nonparabolic dispersion relations of electrons in the rings with rather strong spin-orbit coupling. This approach predicts some new characteristic features of persistent currents, which may be observed in experimental studies of semiconductor ballistic rings.

13 pages, 8 figures

References in corpus (3)

• Spintronics: Fundamentals and applications
• Orbital mechanisms of electron spin manipulation by an electric field
• Persistent current in ballistic mesoscopic rings with Rashba spin-orbit coupling

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• Spin polarization in the Hubbard model with Rashba spin-orbit coupling on a ladder
• Two-dimensional quantum rings with oscillating spin-orbit interaction strength: A wave function picture
• Correlations of zero-entropy critical states in the XXZ model: integrability and Luttinger theory far from the ground state
• Tunable Aharonov-Anandan phase in transport through mesoscopic hole rings
• Tunneling conductance of a mesoscopic ring with spin-orbit coupling and Tomonaga-Luttinger interaction
• Helical currents in metallic Rashba strips
• Local Density of States in a Helical Tomonaga-Luttinger Liquid of Loop and Josephson Junction Geometries