Spatiotemporal spin fluctuations caused by spin-orbit-coupled Brownian motion

Abstract

We develop a theory of thermal fluctuations of spin density emerging in a two-dimensional electron gas. The spin fluctuations probed at spatially separated spots of the sample are correlated due to Brownian motion of electrons and spin-obit coupling. We calculate the spatiotemporal correlation functions of the spin density for both ballistic and diffusive transport of electrons and analyze them for different types of spin-orbit interaction including the isotropic Rashba model and persistent spin helix regime. The measurement of spatial spin fluctuations provides direct access to the parameters of spin-orbit coupling and spin transport in conditions close to the thermal equilibrium.

5 pages, 4 figures

References in corpus (10)

• An Exact SU(2) Symmetry and Persistent Spin Helix in a Spin-Orbit Coupled System
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• Direct mapping of the formation of a persistent spin helix: Supplementary information
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• Non-diffusive spin dynamics in a two-dimensional electron gas
• Spin noise spectroscopy of a single-quantum-well microcavity
• Dynamics of a localized spin excitation close to the spin-helix regime
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Cited by in corpus (13)

• The Theory of Spin Noise Spectroscopy: A Review
• Current-controlled Spin Precession of Quasi-Stationary Electrons in a Cubic Spin-Orbit Field
• Correlation function of spin noise due to atomic diffusion
• Persistent Spin Helix Manipulation by Optical Doping of a CdTe Quantum Well
• Transition of a 2D spin mode to a helical state by lateral confinement
• Spin fluctuations of non-equilibrium electrons and excitons in semiconductors
• Gate-Control of Anisotropic Spin Transport and Spin Helix Dynamics in a Modulation-Doped GaAs Quantum Well
• Enhanced longevity of the spin helix in low-symmetry quantum wells
• Homogenization of Doppler broadening in spin noise spectroscopy
• Spin noise at electron paramagnetic resonance
• Electric control of spin transport in GaAs (111) quantum wells
• Paramagnetic resonance in spin-polarized disordered Bose-Einstein condensates
• Spin helices in GaAs quantum wells: Interplay of electron density, spin diffusion, and spin lifetime