An Exact SU(2) Symmetry and Persistent Spin Helix in a Spin-Orbit Coupled System

Abstract

Spin-orbit coupled systems generally break the spin rotation symmetry. However, for a model with equal Rashba and Dresselhauss coupling constant (the ReD model), and for the $[110]$ Dresselhauss model, a new type of SU(2) spin rotation symmetry is discovered. This symmetry is robust against spin-independent disorder and interactions, and is generated by operators whose wavevector depends on the coupling strength. It renders the spin lifetime infinite at this wavevector, giving rise to a Persistent Spin Helix (PSH). We obtain the spin fluctuation dynamics at, and away, from the symmetry point, and suggest experiments to observe the PSH.

5 pages, 3 figures

References in corpus (4)

• Dissipationless Quantum Spin Current at Room Temperature
• Spin current and polarization in impure 2D electron systems with spin-orbit coupling
• Current induced electron spin polarization in strained semiconductors
• A General Theorem Relating the Bulk Topological Number to Edge States in Two-dimensional Insulators

Cited by in corpus (59)

• Emergence of the persistent spin helix in semiconductor quantum wells
• Direct mapping of the formation of a persistent spin helix: Supplementary information
• Fermi liquid instabilities in the spin channel
• Cubic Rashba spin-orbit interaction of two-dimensional hole gas in strained-Ge/SiGe quantum well
• Direct determination of spin orbit interaction coefficients and realization of the persistent spin helix symmetry
• Intersubband-induced spin-orbit interaction in quantum wells
• Non-diffusive spin dynamics in a two-dimensional electron gas
• Non-Abelian gauge fields in the gradient expansion: generalized Boltzmann and Eilenberger equations
• All-electrical detection of the relative strength of Rashba and Dresselhaus spin-orbit interaction in quantum wires
• Persistent spin helix in Rashba-Dresselhaus two-dimensional electron systems
• Spin-orbit interaction in GaAs wells: From one to two subbands
• Theory of coupled spin-charge transport due to spin-orbit interaction in inhomogeneous two-dimensional electron liquids
• Suppressed decay of a laterally confined persistent spin helix
• Low-energy theory and RKKY interaction for interacting quantum wires with Rashba spin-orbit coupling
• Doppler velocimetry of spin propagation in a two-dimensional electron gas
• Tuning the Spin Hall Effect in a Two-Dimensional Electron Gas
• Datta-Das type spin-field effect transistor in non-ballistic regime
• Duality of the spin and density dynamics for two-dimensional electrons with a spin-orbit coupling
• Anomalous Proximity Effect and Theoretical Design for its Realization
• Non-Abelian spin-orbit gauge: Persistent spin helix and quantum square ring
• Spin dynamics in rolled-up two dimensional electron gases
• Spin states in InAs/AlSb/GaSb semiconductor quantum wells
• Tuning of the spin-orbit interaction in a quantum dot by an in-plane magnetic field
• Two-dimensional imaging of the spin-orbit effective magnetic field
• Persistent spin helix on a wurtzite ZnO(10-10) surface: First-principles density-functional study
• Coherent Propagation of Spin Helices in a Quantum-Well Confined Electron Gas
• Inverse Spin Hall Effect and Anomalous Hall Effect in a Two-Dimensional Electron Gas
• Impact of Dresselhaus vs. Rashba spin-orbit coupling on the Holstein polaron
• Spin relaxation in $n$-type GaAs quantum wells with transient spin grating
• Electric-field induced spin excitations in two-dimensional spin-orbit coupled systems
• Torque and conventional spin-Hall currents in two-dimensional spin-orbit coupled systems: Universal relation and hyper-selection rule
• Spin polarization in biased Rashba-Dresselhaus two-dimensional electron systems
• Spin control in semiconductor quantum wires
• Theory of Unconventional Spin States in Surfaces with Non-Rashba Spin-Orbit Interaction
• Magnetic breakdown of cyclotron orbits in systems with Rashba and Dresselhaus spin-orbit coupling
• Spontaneous Emergence of Persistent Spin Helix from Homogeneous Spin Polarization
• Hole spin dynamics and hole $g$ factor anisotropy in coupled quantum well systems
• Diffusive-Ballistic Crossover and the Persistent Spin Helix
• Spin transmission control in helical magnetic fields
• Spin-selective localization due to intrinsic spin-orbit coupling
• Radial Spin Helix in Two-Dimensional Electron Systems with Rashba Spin-Orbit Coupling
• Time dependent configuration interaction simulations of spin swap in spin orbit coupled double quantum dots
• Energy spectra of two interacting fermions with spin-orbit coupling in a harmonic trap
• Equivalence of Rashba-Hubbard and Hubbard chains
• Understanding spin Hall effects from the motion in SU(2)XU(1) fields
• Spin accumulation from the non-Abelian Aharonov-Bohm effect
• Understanding spin transport from the motion in SU(2)$\times$U(1) fields
• Modeling of diffusion of injected electron spins in spin-orbit coupled microchannels
• Infinite spin diffusion length of any spin polarization along direction perpendicular to effective magnetic field from Dresselhaus and Rashba spin-orbit couplings with identical strengths in (001) GaAs quantum wells
• Electron spin diffusion at the interface of multiferroic oxides
• D'yakonov-Perel' spin relaxation in InSb/AlInSb quantum wells
• Evolution of the persistent spin helix in the presence of Hartree-Fock fields
• Excitation of spin waves on a cylindrical semiconductor heterostructure with Rashba spin-orbit interaction
• Decay of Persistent Spin Helix due to the Spin Relaxation at Boundaries
• Charge and spin transport in spin valves with anisotropic spin relaxation
• Oscillation of spin polarization in a two-dimensional hole gas under a perpendicular magnetic field
• The two-impurity Kondo model with spin-orbit interactions
• Random walk approach to spin dynamics in a two-dimensional electron gas with spin-orbit coupling
• Extra Current and Integer Quantum Hall Conductance in the Spin-Orbit Coupling System