Non-Abelian gauge fields in the gradient expansion: Generalized Boltzmann and Eilenberger equations

Gorini, Cosimo; Schwab, Peter; Raimondi, Roberto; Shelankov, A. L.

doi:10.1103/physrevb.82.195316

Cited by 84 publications

(166 citation statements)

References 59 publications

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“…(46) is that, under stationary conditions, S = χΩ, provided the spin Hall angle is nonzero. This implies that the spin polarization follows the total magnetic field and (for an energy-independent scattering time [43]) there can be no out-of-plane spin polarization since Ω lays in the xy plane. This is no longer the case when one considers the extrinsic SOC as will be shown in the following Section.…”

Section: The "Intrinsic" Bloch Equationsmentioning

confidence: 99%

“…(1) is the SU (2) approach, where the SOC is described in terms of a spin-dependent gauge field [43]. This formalism, introduced in the context of quarkgluon kinetic theory [53,54], was recently also extended to superconducting structures with SOC [55,56].…”

Section: The Su(2) Approach For Intrinsic Socmentioning

confidence: 99%

“…The last term of (39) can be made explicit by providing the expression for the spin current J a i , where the lower (upper) index indicates the space (spin) component. In [43] (cf. therein Eq.…”

Section: The "Intrinsic" Bloch Equationsmentioning

confidence: 99%

“…According to the analysis of [43], a semiclassical Boltzmann kinetic equation can be derived from a microscopic Keldysh formulation in the presence of non-Abelian gauge fields. The starting point is the left-right subtracted Dyson equation…”

Section: The Su(2) Approach For Intrinsic Socmentioning

confidence: 99%

“…Although the key mechanism of the effect relies on the symmetry properties of gyrotropic media [63], most of the recent theoretical work has concentrated on models based on the Rashba and Dresselhaus spin-orbit coupling (respectively RSOC and DSOC in the following) in the presence of disorder scattering responsible for spin relaxation [15,[34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51]. In a 2-dimensional electron gas, as for instance the one studied in Ref.…”

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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Section: The "Intrinsic" Bloch Equationsmentioning

confidence: 99%

Section: The Su(2) Approach For Intrinsic Socmentioning

confidence: 99%

Section: The "Intrinsic" Bloch Equationsmentioning

confidence: 99%

Section: The Su(2) Approach For Intrinsic Socmentioning

confidence: 99%

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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Driving Spin and Charge in Quantum Wells by Surface Acoustic Waves

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Gorini

Schwab

et al. 2014

Adv Materials Inter

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Recent experiments have shown the potential of surface acoustic waves as a mean for transporting charge and spin in quantum wells. In particular, they have proven highly effective for the coherent transport of spin-polarized wave packets, suggesting their potential in spintronics applications. Motivated by these experimental observations, we have theoretically studied the spin and charge dynamics in a quantum well under surface acoustic waves. We show that the dynamics acquires a simple and transparent form in a reference frame co-moving with the surface acoustic wave. Our results, e.g., the calculated spin relaxation and precession lengths, are in excellent agreement with recent experimental observations.

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Spin‐orbit interaction in a two‐dimensional electron gas: A SU(2) formulation

et al. 2011

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Dedicated to Ulrich Eckern on the occasion of his 60th birthday.Spin-orbit interaction is usefully classified as extrinsic or intrinsic, depending on its origin: the potential due to random impurities (extrinsic), or the crystalline potential associated with the band or device structure (intrinsic). In this paper we will show how, by using a SU (2) formulation, the two sources may be described in an elegant and unified way. As a result we obtain a simple description of the interplay of the two types of spin-orbit interaction, and a physically transparent explanation of the vanishing of the d.c. spin Hall conductivity in a Rashba two-dimensional electron gas when spin relaxation is neglected, as well as its reinstatement when spin relaxation is allowed. Furthermore, we obtain an explicit formula for the transverse spin polarization created by an electric current, which generalizes the standard formula obtained by Edelstein, and Aronov and Lyanda-Geller by including extrinsic spin-orbit interaction and spin relaxation.

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Non-Abelian gauge fields in the gradient expansion: Generalized Boltzmann and Eilenberger equations

Cited by 84 publications

References 59 publications

Theory of current-induced spin polarization in an electron gas

Theory of current-induced spin polarization in an electron gas

Driving Spin and Charge in Quantum Wells by Surface Acoustic Waves

Spin‐orbit interaction in a two‐dimensional electron gas: A SU(2) formulation

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