Theory of intrinsic electric polarization and spin Hall current in spin-orbit-coupled semiconductor heterostructures

Rodina, A. V.; Alekseev, Anton

doi:10.1103/physrevb.78.115304

Cited by 6 publications

(4 citation statements)

References 30 publications

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“…Expanding m 0 m e ( ) given by Eq. (2) in a Taylor series for small enables the relation between nonparabolicity parameter α p and the Kane energy parameter E p to be obtained as [25]…”

Section: Resultsmentioning

confidence: 99%

Electronic energy band parameters ofCuInSe2: Landau levels in magnetotransmission spectra

et al. 2019

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“…Expanding m 0 m e ( ) given by Eq. (2) in a Taylor series for small enables the relation between nonparabolicity parameter α p and the Kane energy parameter E p to be obtained as [25]…”

Section: Resultsmentioning

confidence: 99%

Electronic energy band parameters ofCuInSe2: Landau levels in magnetotransmission spectra

et al. 2019

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“…In fact, the similar question has been discussed rigorously by Anandan [8a]. Recently, there are some relevant works [30][31][32]…”

Section: Nonzero Spin Forcementioning

confidence: 90%

Spin hall effect associated with SU(2) gauge field

Tao

2009

Eur. Phys. J. B

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In this paper, we focus on the connection between spin Hall effect and spin force. Here we investigate that the spin force due to spin-orbit coupling, which in two-dimensional system is equivalent to forces of Hirsch and Chudnovsky besides constant factors 3 and 3/2 respectively, is a part of classic Anandan force, and that the spin Hall effect is an anomalous Hall effect. Furthermore, we develop the method of AC phase to derive the formula for the spin force, and find that the most basic spin Hall effect originates from the AC phase and is therefore an intrinsic quantum mechanical property of spin. This method differs from approach of Berry phase in the study of anomalous Hall effect, which is the intrinsic property of the perfect crystal. On the other hand, we use an elegant skill to show that the Chudnovsky-Drude model is reasonable, and further have improved the theoretical values of spin Hall conductivity of Chudnovsky. Compared to the theoretical values of spin Hall conductivity in the Chudnovsky-Drude model, ours are in better agreement with experimentation. Finally, we discuss the relation between spin Hall effect and fractional statistics. 2 model (C-D model) are in agreement with experimental data. Furthermore, the C-D model led to some interesting work [12]. More recently, however, the C-D model has been doubted. Kravchenko [13a] argued that the Eq. (24) in Ref. [3a] should be 0 0 2    due to the electrical neutrality of conductors, where 0  is the total electrostatic potential; therefore, spin Hall conductivity in [3a] should be zero. Chudnovsky has responded [3b], but they still cannot come to an agreement [13b]. In this paper we will try to clarify the dilemma pointed out by Kravchenko [13a] because of the importance of C-D model.Chudnovsky constructs the spin-dependent force by using the spin-orbit coupling, which implies that the C-D model may be related to the Goldhaber-Anandan gauge theory [8a,9]. This fact reminds us whether or not the origin of spin Hall effect is due to AC phase? Here we may as well guess, in analogy with the fact that the charge Hall effect originates from the AB phase [14], that the spin Hall effect originates from the AC phase and is therefore an intrinsic quantum mechanical property of spin. To see this, we can use an example to demonstrate the connection between spin Hall effect and AC phase. For example, He [15a,15b] has pointed out that one of the

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“…In [17,18] the attention was attracted to the fact that at the semiconductor-ferromagnet interface, the boundary condition for electrical and spinor current continuity (2.3) can be cast in a more physically appealing way, through a velocity operator which takes into account the SO interaction (see also [19]):…”

Section: Boundary Conditions For Spinor In a Semiconductormentioning

confidence: 99%

“…As noted, in many-band approach [10,11,13,19] the boundary conditions become very complicated mainly due to interference between the Rashba and Dresselhaus terms. Surface-induced spin splitting in the conduction band states may give an additional contribution.…”

Section: Boundary Conditions For Spinor In a Semiconductormentioning

confidence: 99%

Boundary conditions and transmission reflection of electron spin in a quantum well

Dargys¹

2012

Semicond. Sci. Technol.

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Boundary conditions for a spinor at the interface of hetero-and homobarrier in the presence of spin-orbit interaction are briefly reviewed and generalized. Then they are applied to 2D electron in the presence of a discontinuity of physical parameters in a quantum well. It is shown that in general case under oblique electron incidence, the problem can be solved analytically and the Fresnel-type formulae for polarization can be obtained if, in addition, the Gröbner basis algorithm is addressed to solve the problem. It is observed that the transmitted and reflected spin polarization may strongly depend on values of spin-orbit constants on both sides of the homobarrier in the quantum well.

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Theory of intrinsic electric polarization and spin Hall current in spin-orbit-coupled semiconductor heterostructures

Cited by 6 publications

References 30 publications

Electronic energy band parameters ofCuInSe2: Landau levels in magnetotransmission spectra

Electronic energy band parameters ofCuInSe2: Landau levels in magnetotransmission spectra

Spin hall effect associated with SU(2) gauge field

Boundary conditions and transmission reflection of electron spin in a quantum well

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