Spin-orbit Berry phase in conducting rings

Aronov, A. G.; Lyanda-Geller, Yuli

doi:10.1103/physrevlett.70.343

Cited by 422 publications

(469 citation statements)

References 10 publications

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“…When the drift is caused by an electric field, v x = −eτ E x /m, Eqs. (4) and (5) describe the usual ISGE/EE [7,8]. RSOC also leads to (anisotropic) Dyakonov-Perel spin relaxation…”

Section: The Problem and Its Solutionmentioning

confidence: 99%

“…Originally the effect was proposed by Ivchenko and Pikus [4] and observed in tellurium [5]. Later it was theoretically analyzed in a two-dimensional electron gas, either in the presence of Dresselhaus spin-orbit coupling by Ivchenko et al [6] and Aronov and Lyanda-Geller [7], or Rashba spin-orbit coupling by Edelstein [8]. In nonmagnetic conductors with chiral symmetry, a magneto electric effect was also investigated [9].…”

Section: Introductionmentioning

confidence: 99%

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Theory of current-induced spin polarization in an electron gas

et al. 2017

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We derive the Bloch equations for the spin dynamics of a two-dimensional electron gas in the presence of spin-orbit coupling. For the latter we consider both the intrinsic mechanisms of structure inversion asymmetry (Rashba) and bulk inversion asymmetry (Dresselhaus), and the extrinsic ones arising from the scattering from impurities. The derivation is based on the SU(2) gauge-field formulation of the Rashba-Dresselhaus spin-orbit coupling. Our main result is the identification of a spin-generation torque arising from Elliot-Yafet scattering, which opposes a similar term arising from Dyakonov-Perel relaxation. Such a torque, which to the best of our knowledge has gone unnoticed so far, is of basic nature, i. e. should be effective whenever Elliott-Yafet processes are present in a system with intrinsic spin-orbit coupling, irrespective of further specific details. The spin-generation torque contributes to the current-induced spin polarization (CISP), also known as inverse spin-galvanic or Edelstein effect. As a result, the behavior of the CISP turns out to be more complex than one would surmise from consideration of the internal Rashba-Dresselhaus fields alone. In particular, the symmetry of the current-induced spin polarization does not necessarily coincide with that of the internal Rashba-Dresselhaus field, and an out-of-plane component of the CISP is generally predicted, as observed in recent experiments. We also discuss the extension to the three-dimensional electron gas, which may be relevant for the interpretation of experiments in thin films.

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“…When the drift is caused by an electric field, v x = −eτ E x /m, Eqs. (4) and (5) describe the usual ISGE/EE [7,8]. RSOC also leads to (anisotropic) Dyakonov-Perel spin relaxation…”

Section: The Problem and Its Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Theory of current-induced spin polarization in an electron gas

et al. 2017

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“…A spin-dependent transport has been studied in the context of the Aharonov-Casher phase [5][6][7][8] and spin Berry phase. [9][10][11][12] Various types of interesting phenomena have been found in spin transport systems. Examples include the spin transistor effect, 13 spin precession in two-dimensional systems, [14][15][16][17] spin conductance, [18][19][20] spin polarization, 21,22 spin current in mesoscopic rings with spin-orbit ͑SO͒ interactions, 23 entanglement, 24,25 spin separation in a twodimensional hole gas, 26 and spin Hall effect.…”

Section: Introductionmentioning

confidence: 99%

Spin nutation and polarization in ballistic semiconductor nanostructures

Cho

2008

Phys. Rev. B

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The definitions of spin orientation and polarization vectors are introduced within the particle density matrix of scattering states in leads. It is shown that spin-density vector can be defined by the product of the spin orientation vector, being a unit direction vector, and the charge density, corresponding to the amplitude of the spin-density vector, experimentally observable by a spatial charge modulation measurement. When an electron transports through a ballistic semiconductor nanostructure, due to quantum interference of two spin eigenmodes, the electron spin generally undergoes nutation on its precession around the effective magnetic field resulting from spin-orbit interactions. The nutation of electron spin is found to be crucial for spin polarization in the quantum transport. When one of two spin-dependent channels in leads is evanescent, electron spin is shown to be fully polarized for distance from the interface larger than the spin precession length.

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“…Meijer et al 5 pointed out that the Hamiltonian used earlier in Ref. 1 was not quite correct and, in particular, was not Hermitian. Using the correct Hamiltonian Frustaglia and Richter 6 revised the expression for the conductance found in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…3 considered a joint effect of the Zeeman coupling, magnetic flux and SOI on the conductance of a 1D ring beyond the adiabatic approximation employed in Ref. 1. Nitta et.…”

Section: Introductionmentioning

confidence: 99%

Aharonov-Casher oscillations of spin current through a multichannel mesoscopic ring

Shlyapin

Mal’shukov

2010

Phys. Rev. B

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The Aharonov-Casher (AC) oscillations of spin current through a 2D ballistic ring in the presence of Rashba spin-orbit interaction and external magnetic field has been calculated using the semiclassical path integral method. For classically chaotic trajectories the Fokker-Planck equation determining dynamics of the particle spin polarization has been derived. On the basis of this equation an analytic expression for the spin conductance has been obtained taking into account a finite width of the ring arms carrying large number of conducting channels. It was shown that the finite width results in a broadening and damping of spin current AC oscillations. We found that an external magnetic field leads to appearance of new nondiagonal components of the spin conductance, allowing thus by applying a rather weak magnetic field to change a direction of the transmitted spin current polarization.

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Spin-orbit Berry phase in conducting rings

Cited by 422 publications

References 10 publications

Theory of current-induced spin polarization in an electron gas

Theory of current-induced spin polarization in an electron gas

Spin nutation and polarization in ballistic semiconductor nanostructures

Aharonov-Casher oscillations of spin current through a multichannel mesoscopic ring

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