Temperature dependence of persistent spin currents in a spin-orbit-coupled electron gas: A density-matrix approach

Bencheikh, K.; Vignale, Giovanni

doi:10.1103/physrevb.77.155315

Cited by 8 publications

(13 citation statements)

References 46 publications

(23 reference statements)

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“…The central result of the paper is an appearance of outof-plane equilibrium spin current in the quasi-2D electron gas under in-plane magnetic field in the presence of the SO interactions. In the absence of the magnetic field, the average values of the spin currents J Sx and J Sy are shown to coincide with the well-known results [37,39,41,42] obtained for a strictly 2D electron gas, revealing a cubic dependence on the SO coupling constants. We show that the magnetic field strongly changes the in-plane spin-current components, contributing new terms to them.…”

Section: Introductionsupporting

confidence: 81%

Out-of-plane equilibrium spin current in a quasi-two-dimensional electron gas under in-plane magnetic field

Nakhmedov

Alekperov

2012

Phys. Rev. B

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Equilibrium spin-current is calculated in a quasi-two-dimensional electron gas with finite thickness under in-plane magnetic field and in the presence of Rashba-and Dresselhaus spin-orbit interactions. The transverse confinement is modeled by means of a parabolic potential. An orbital effect of the in-plane magnetic field is shown to mix a transverse quantized spin-up state with nearestneighboring spin-down states. The out-off-plane component of the equilibrium spin current appears to be not zero in the presence of an in-plane magnetic field, provided at least two transverse-quantized levels are filled. In the absence of the magnetic field the obtained results coincide with the wellknown results, yielding cubic dependence of the equilibrium spin current on the spin-orbit coupling constants. The persistent spin-current vanishes in the absence of the magnetic field if Rashba-and Dresselhaus spin-orbit coefficients, α and β, are equal each other. In-plane magnetic field destroys this symmetry, and accumulates a finite spin-current as α → β. Magnetic field is shown to change strongly the equilibrium current of the in-plane spin components, and gives new contributions to the cubic-dependent on spin-orbit constants terms. These new terms depend linearly on the spin-orbit constants.

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Section: Introductionsupporting

confidence: 81%

Out-of-plane equilibrium spin current in a quasi-two-dimensional electron gas under in-plane magnetic field

Nakhmedov

Alekperov

2012

Phys. Rev. B

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“…Recently Bencheikh and Vignale [113] performed a more general calculation taking into account temperature effects and Dresselhaus spin-orbit coupling. In the presence of Dresselhaus spinorbit coupling equation (122) is generalized to…”

Section: A 1d Ring In An Inhomogeneous Magnetic Field: Berry-phase Cumentioning

confidence: 99%

“…In the presence of the external magnetic field one should add the Zeeman energy −µ B σ · H to the Hamilton equation (113). The spin current in a single-electron state is determined by the spin, which is parallel or antiparallel to the "effective" magnetic field H −αΦ 0 [k×ẑ]/π acting on the electron.…”

Section: Experimental Detection Of Equilibrium Spin Currentsmentioning

confidence: 99%

Spin currents and spin superfluidity

Sonin

2010

Advances in Physics

240

300

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The present review analyzes and compares various types of dissipationless spin transport: (1) Superfluid transport, when the spin-current state is a metastable state (a local but not the absolute minimum in the parameter space). (2) Ballistic spin transport, when spin is transported without losses simply because sources of dissipation are very weak. (3) Equilibrium spin currents, i.e., genuine persistent currents. (4) Spin currents in the spin Hall effect. Since superfluidity is frequently connected with Bose condensation, recent debates about magnon Bose condensation are also reviewed. For any type of spin currents simplest models were chosen for discussion in order to concentrate on concepts rather than details of numerous models. The various hurdles on the way of using the concept of spin current (absence of the spin-conservation law, ambiguity of spin current definition, etc.) were analyzed. The final conclusion is that the spin-current concept can be developed in a fully consistent manner, and is a useful language for description of various phenomena in spin dynamics.

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“…27 Therefore we construct approximate analytic expressions for the propagator in the confined ͑ 0͒ and the unconfined ͑ =0͒ case using an analytic method based on the Trotter formula generalized to spin systems. 34 The Trotter formula for two noncommuting operators a and b, exact to O͑ 3 ͒, gives…”

Section: Propagator Constructionmentioning

confidence: 99%

“…[18][19][20] Several treatments have been applied to analyze the spin dynamics inside Rashba systems: Heisenberg picture method, 13 linear-response theory, 21 fixed energy Green function, [22][23][24] direct numerical integration, 25,26 and densitymatrix approach. 27 In this contribution we develop the quantum-mechanical spin propagator method from the Schrödinger equation for Rashba SOC interaction in onedimensional ͑1D͒ and two-dimensional ͑2D͒ condensedmatter systems. The advantage of calculating the propagator separately is that it can be applied to any initial state.…”

Section: Introductionmentioning

confidence: 99%

Spin dynamics for wave packets in Rashba systems

Hsu

Huele

2009

Phys. Rev. B

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We explore spin dynamics for localized wave packets in Rashba systems using spin quantum propagators. We derive exact ͑one-dimensional͒ and approximate ͑two-dimensional͒ analytic expressions for the propagators and apply them to Gaussian wave packets to obtain localized solutions of systems manifesting Rashba interactions. We observe and describe the evolution of the wave packets. We identify characteristic structures in the wave-packet evolution and look for features with specific spintronics applications such as spin separation and spin accumulation. We discuss the relative importance of those features as a function of the Rashba coupling strength ␣ and the width of the wave packet w. In particular, we find a trade off between spatial oscillation and global separation of the spin when varying ␣ and w.

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Temperature dependence of persistent spin currents in a spin-orbit-coupled electron gas: A density-matrix approach

Cited by 8 publications

References 46 publications

Out-of-plane equilibrium spin current in a quasi-two-dimensional electron gas under in-plane magnetic field

Out-of-plane equilibrium spin current in a quasi-two-dimensional electron gas under in-plane magnetic field

Spin currents and spin superfluidity

Spin dynamics for wave packets in Rashba systems

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