Spin Correlations in Quantum Wires

Abstract

We consider theoretically spin correlations in an 1D quantum wire with Rashba-Dresselhaus spin-orbit interaction (RDI). The correlations of non-interacting electrons display electron-spin resonance at a frequency proportional to the RDI coupling. Interacting electrons on varying the direction of external magnetic field transit from the state of Luttinger liquid (LL) to the spin density wave (SDW) state. We show that the two-time total spin correlations of these states are significantly different. In the LL the projection of total spin to the direction of the RDI induced field is conserved and the corresponding correlator is equal to zero. The correlators of two components perpendicular to the RDI field display a sharp ESR driven by RDI induced intrinsic field. In contrast, in the SDW state the longitudinal projection of spin dominates, whereas the transverse components are suppressed. This prediction indicates a simple way for experimental diagnostic of the SDW in a quantum wire.

19 pages, 1 figure

References in corpus (5)

• Spin-orbital effects in magnetized quantum wires and spin chains
• Quantum spin chains with frustration due to Dzyaloshinskii-Moriya interactions
• Electron spin resonance signal of Luttinger liquids and single-wall carbon nanotubes
• Spin-orbit induced spin-density wave in a quantum wire
• Low-energy local density of states of the 1D Hubbard model

Cited by in corpus (2)

• Spinon magnetic resonance of quantum spin liquids
• Ising order in a magnetized Heisenberg chain subject to a uniform Dzyaloshinskii-Moriya interaction