Semiclassical Boltzmann theory of spin Hall effects in giant Rashba systems

Xiao, Cong

doi:10.1007/s11467-017-0720-8

Cited by 9 publications

(10 citation statements)

References 32 publications

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“…[38][39][40] It has also been known that a giant Rashba effect (RE) could induce large SHC as long as the Fermi level can be tuned and brought between lower and upper Rashba bands. 41 In a polar material, the inversion symmetry breaking gives rise to giant Rashba spin-orbit derived spin splittings of the electronic states. Therefore, we expect that the ferroelectric structure could, in principle, enhance the spin Hall conductivity over the paraelectric phase at specific values of the chemical potential.…”

Section: Electronic Properties and Spin Hall Effectmentioning

confidence: 99%

Spin Hall effect in prototype Rashba ferroelectrics GeTe and SnTe

et al. 2020

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Ferroelectric Rashba semiconductors (FERSC) have recently emerged as a promising class of spintronics materials. The peculiar coupling between spin and polar degrees of freedom responsible for several exceptional properties, including ferroelectric switching of Rashba spin texture, suggests that the electron's spin could be controlled by using only electric fields. In this regard, recent experimental studies revealing charge-to-spin interconversion phenomena in two prototypical FERSC, GeTe and SnTe, appear extremely relevant. Here, by employing density functional theory calculations, we investigate spin Hall effect (SHE) in these materials and show that it can be large either in ferroelectric or paraelectric structure. We further explore the compatibility between doping required for the practical realization of SHE in semiconductors and polar distortions which determine Rashbarelated phenomena in FERSC, but which could be suppressed by free charge carriers. Based on the analysis of the lone pairs which drive ferroelectricity in these materials, we have found that the polar displacements in GeTe can be sustained up to a critical hole concentration of over ∼ 10 21 /cm 3 , while the tiny distortions in SnTe vanish at a minimal level of doping. Finally, we have estimated spin Hall angles for doped structures and demonstrated that the spin Hall effect could be indeed achieved in a polar phase. We believe that the confirmation of spin Hall effect, Rashba spin textures and ferroelectricity coexisting in one material will be helpful for design of novel multifunctional spintronics devices operating without magnetic fields.

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Section: Electronic Properties and Spin Hall Effectmentioning

confidence: 99%

Spin Hall effect in prototype Rashba ferroelectrics GeTe and SnTe

et al. 2020

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“…[40] was shown to work well for the linear anomalous Hall effect in the spin-polarized Rashba model and for the spin Hall effect in the Rashba model. However, the peculiarity of the Rashba models in fact plays the basic role in this success: in the spin-polarized Rashba model F Gsk n,l +F a1 n,l = 0 in the case of scalar point-like impurities within the noncrossing approximation for F Gsk n,l [43], whereas in the Rashba model the diagonal element of the spin-current operator j s in the Bloch representation is zero ((j s ) 0 l = 0) [44]. Therefore, when applied to another model, like the twodimensional gapped Dirac model, one can check that the theory of Ref.…”

Section: Comparison To Other Theoriesmentioning

confidence: 99%

Theory of nonlinear Hall effects: Modified semiclassics from quantum kinetics

2019

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We propose a modified Boltzmann nonlinear electric-transport framework which differs from the nonlinear generalization of the linear Boltzmann formalism by a contribution that has no counterpart in linear response. This contribution follows from the interband-coherence effect of dc electricfields during scattering and is related to the interband Berry connection. As an application, we demonstrate it in the second-order nonlinear Hall effect of the tilted massive Dirac model. The intuitive Boltzmann constructions are confirmed by a quantum kinetic theory, which shows that arbitrary nth-order nonlinear dc response up to the first three leading contributions in the weak disorder potential is handled by the same few gauge-invariant semiclassical ingredients.

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“…is the effective mass) the Rashba wave-vector and ε R = α R k R the Rashba energy [42]. Thus the zero-temperature dipole density of the conventional spin current is obtained as M xy s = − R 12π .…”

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confidence: 99%

“…We show in Supplemental Material [31] that these two effects do not break the Einstein and Mott relations. Besides modifying the occupation function, disorder also alters Φ|θ|Φ by inducing interband mixing of Bloch states [42,45,46]. This contribution, known as side-jump velocity forθ =v [45,46], is averaged by δf ∝ F · ∂ k f , hence does not go against the Einstein or Mott relation.…”

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confidence: 99%

Berry Phase Effects in Dipole Density and the Mott Relation

et al. 2020

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We provide a unified semiclassical approach for thermoelectric responses of any observable represented by an operatorθ that is well-defined in periodic crystals. The Mott relation is established, in the presence of Berry-phase effects, for various physical realizations ofθ in electronic systems, including the familiar case of the electric current as well as the currently controversial cases of the spin polarization and spin current. In our theory the dipole density of a physical quantity emerges and plays a vital role, which contains not only the statistical sum of the dipole moment ofθ but also a Berry-phase correction.

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Semiclassical Boltzmann theory of spin Hall effects in giant Rashba systems

Cited by 9 publications

References 32 publications

Spin Hall effect in prototype Rashba ferroelectrics GeTe and SnTe

Spin Hall effect in prototype Rashba ferroelectrics GeTe and SnTe

Theory of nonlinear Hall effects: Modified semiclassics from quantum kinetics

Berry Phase Effects in Dipole Density and the Mott Relation

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