Spin-orbital effects in magnetized quantum wires and spin chains

Abstract

We present analysis of the interacting quantum wire problem in the presence of magnetic field and spin-orbital interaction. We show that an interesting interplay of Zeeman and spin-orbit terms, facilitated by the electron-electron interaction, results in the spin-density wave (SDW) state when the magnetic field and spin-orbit axes are orthogonal. We show that this instability is enhanced in a closely related problem of Heisenberg spin chain with asymmetric uniform Dzyaloshinskii-Moriya (DM) interaction. Magnetic field in the direction perpendicular to the DM anisotropy axis results in staggered long-range magnetic order along the orthogonal to the applied field direction. We explore consequences of the uniform DM interaction for the electron spin resonance (ESR) measurements, and point out that they provide way to probe right- and left-moving excitations of the spin chain separately.

18 pages, 2 figures; (v2) 23 pages, 5 figures, Added modified and detailed analysis of the phase diagram; (v3) published version, few misprints corrected

References in corpus (38)

• Quantum Spin Hall Effect in Graphene
• Bosonization and Strongly Correlated Systems
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Stability of the quantum spin Hall effect: effects of interactions, disorder, and Z_2 topology
• Rashba effect in the graphene/Ni(111) system
• On the Field-Induced Gap in Cu Benzoate and Other S=1/2 Antiferromagnets
• Direct Observation of Field-Induced Incommensurate Fluctuations in a One-Dimensional S=1/2 Antiferromagnet
• Numerical Evidence for Multiplicative Logarithmic Corrections from Marginal Operators
• Effect of the spin-orbit interaction on the band structure and conductance of quasi-one-dimensional systems
• Rashba Effect at Magnetic Metal Surfaces
• Electron Spin Resonance in S=1/2 antiferromagnetic chains
• Correlated transport and non-Fermi liquid behavior in single-wall carbon nanotubes
• The N-chain Hubbard Model in Weak Coupling
• Theory of Low Temperature Electron Spin Resonance in Half-integer Spin Antiferromagnetic Chains
• Dynamical spin-electric coupling in a quantum dot
• Finite-temperature dynamical magnetic susceptibility of quasi-one-dimensional frustrated spin-1/2 Heisenberg antiferromagnets
• The spin-orbit interaction as a source of new spectral and transport properties in quasi-one-dimensional systems
• Effects of disorder on two strongly correlated coupled chains
• Spin-orbit coupling and ESR theory for carbon nanotubes
• Scaling Properties of the Two-Chain Model
• Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet
• Rashba precession in quantum wires with interaction
• Dynamical structure factor of the anisotropic Heisenberg chain in a transverse field
• Competing effects of interactions and spin-orbit coupling in a quantum wire
• Rashba spin splitting in quantum wires
• Staggered orbital currents in the half-filled two-leg ladder
• Effects of Long Range Electronic Interactions on a One-dimensional Electron System
• Electron Spin Resonance in sine-Gordon spin chains in the perturbative spinon regime
• Generation of spin-polarized currents in Zeeman-split Tomonaga-Luttinger models
• Spin-orbit induced spin-density wave in a quantum wire
• Spin dynamics in the low-dimensional magnet TiOCl
• Spin-orbit mediated anisotropic spin interaction in interacting electron systems
• Correlation functions for 1d interacting fermions with spin-orbit coupling
• Magnetically-controlled impurities in quantum wires with strong Rashba coupling
• Renormalization of impurity scattering in one-dimensional interacting electron systems in magnetic field
• Luttinger liquid with strong spin-orbital coupling and Zeeman splitting in quantum wires
• Collective excitation of quantum wires and effect of spin-orbit coupling in the presence of a magnetic field along the wire
• Spin-orbit coupling and electron spin resonance for interacting electrons in carbon nanotubes

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• Weakly interacting one-dimensional topological insulators: a bosonization approach
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