Spontaneous emergence of a persistent spin helix from homogeneous spin polarization

Slipko, V. A.; Savran, Ibrahim; Pershin, Yuriy V.

doi:10.1103/physrevb.83.193302

Cited by 16 publications

(24 citation statements)

References 22 publications

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“…We see that the "Doppler shifts" are different for the two helical components. Recall that the helical mode S − describes the "persistent spin helix" in the balanced case, 33,[75][76][77][78][79][80] when the wave vector q of the grating matches the SOC wave vector q 1 . In recent experiments by Yang et al 32,44 the time evolution of the spatial phase has been measured by Doppler velocimetry.…”

Section: B Spin Grating With Q E: Helical Doppler Effectmentioning

confidence: 99%

Theory of coupled spin-charge transport due to spin-orbit interaction in inhomogeneous two-dimensional electron liquids

2014

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Spin-orbit interactions in two-dimensional electron liquids are responsible for many interesting transport phenomena in which particle currents are converted to spin polarizations and spin currents and viceversa. Prime examples are the spin Hall effect, the Edelstein effect, and their inverses. By similar mechanisms it is also possible to partially convert an optically induced electron-hole density wave to a spin density wave and viceversa. In this paper we present a unified theoretical treatment of these effects based on quantum kinetic equations that include not only the intrinsic spin-orbit coupling from the band structure of the host material, but also the spin-orbit coupling due to an external electric field and a random impurity potential. The drift-diffusion equations we derive in the diffusive regime are applicable to a broad variety of experimental situations, both homogeneous and non-homogeneous, and include on equal footing "skew scattering" and "side-jump" from electronimpurity collisions. As a demonstration of the strength and usefulness of the theory we apply it to the study of several effects of current experimental interest: the inverse Edelstein effect, the spin-current swapping effect, and the partial conversion of an electron-hole density wave to a spin density wave in a two-dimensional electron gas with Rashba and Dresselhaus spin-orbit couplings, subject to an electric field.

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Section: B Spin Grating With Q E: Helical Doppler Effectmentioning

confidence: 99%

Theory of coupled spin-charge transport due to spin-orbit interaction in inhomogeneous two-dimensional electron liquids

2014

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“…where κ n = 1/(4τ 2 ) − π 2 n 2 v 2 /L 2 . Previously, we investigated the spin relaxation in finite length wires in the diffusive regime and found that an initially homogeneous spin polarization in z direction transforms into a persistent spin helix at long times 28 . The same qualitative result follows from Eq.…”

Section: Relaxation Of Homogeneous Polarization In Finite Length Wmentioning

confidence: 99%

Kinetics of spin relaxation in quantum wires and channels: Boundary spin echo and formation of a persistent spin helix

Slipko¹,

Pershin²

2011

Phys. Rev. B

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In this paper we use a spin kinetic equation to study spin polarization dynamics in 1D wires and 2D channels. This approach is valid in both diffusive and ballistic spin transport regimes and, therefore, more general than the usual spin drift-diffusion equations. In particular, we demonstrate that in infinite 1D wires with Rashba spin-orbit interaction the exponential spin relaxation decay can be modulated by an oscillating function. In the case of spin relaxation in finite length 1D wires, it is shown that an initially homogeneous spin polarization spontaneously transforms into a persistent spin helix. An interesting sound waves echo-like behavior of initially localized spin polarization packet is found in finite length wires. We show that a propagating spin polarization profile reflects from a system boundary and returns back to its initial position similarly to the reflectance of sound waves from an obstacle. Green's function of spin kinetic equation is found for both finite and infinite 1D systems. Moreover, we demonstrate explicitly that the spin relaxation in 2D channels with Rashba and Dresselhaus spin-orbit interactions of equal strength occurs similarly to that in 1D wires of finite length. Finally, a simple transformation mapping 1D spin kinetic equation into the Klein-Gordon equation with an imaginary mass is found thus establishing an interesting connection between semiconductor spintronics and relativistic quantum mechanics.

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“…These examples include investigations of spin relaxation in 2D channels, [17][18][19][20][21][22] 2D half-space, 23 2D systems with antidots, 24 large quantum dots, 25,26 and one-dimensional (1D) finite-length wires. 27 Both available experimental and theoretical results indicate that, typically in the diffusive spin transport regime, the electron spin life time is longer in systems with boundaries.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of spin relaxation in finite-size two-dimensional systems: An exact solution

Slipko

Pershin

2011

Phys. Rev. B

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We find an exact solution for the problem of electron spin relaxation in a two-dimensional (2D) circle with Rashba spin-orbit interaction. Our analysis shows that the spin relaxation in finite-size regions involves three stages and is described by multiple spin relaxation times. It is important that the longest spin relaxation time increases with the decrease in system radius but always remains finite. Therefore, at long times, the spin polarization in small 2D systems decays exponentially with a size-dependent rate. This prediction is supported by results of Monte Carlo simulations.

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Spontaneous emergence of a persistent spin helix from homogeneous spin polarization

Cited by 16 publications

References 22 publications

Theory of coupled spin-charge transport due to spin-orbit interaction in inhomogeneous two-dimensional electron liquids

Theory of coupled spin-charge transport due to spin-orbit interaction in inhomogeneous two-dimensional electron liquids

Kinetics of spin relaxation in quantum wires and channels: Boundary spin echo and formation of a persistent spin helix

Dynamics of spin relaxation in finite-size two-dimensional systems: An exact solution

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