The nonlinear Rashba effect in Hg0.77Cd0.23Te inversion layers probed by weak antilocalization analysis

Liu, X. Z.; Yu, G.; Wei, Lixia; Lin, Tianquan; Xu, Yonggang; Yang, Jing; Wei, Ying; Guo, S.; Chu, Junhao; Rowell, N. L.; Lockwood, D. J.

doi:10.1063/1.4772643

Cited by 11 publications

(7 citation statements)

References 55 publications

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“…Such peculiarity, however, is a property of the specific model and does not characterize the symmetry class (C ∞v ) to which the latter corresponds. Indeed, one may consider a slightly more general example, with ξ(p) = (p 2 /2m)/ 1 + κ p 2 /2m and ζ(p) = 1/ 1 + λ p 2 /2m , where the positive parameters κ and λ represent deviations from parabolic band dispersion [26][27][28] and nonlinear dependence of the Rashba SOC on momentum [29][30][31], respectively. In this model, finite w ch for two partly occupied sub-bands is restored.…”

mentioning

confidence: 99%

Chiral ferromagnetism beyond Lifshitz invariants

Ado¹,

Qaiumzadeh

Brataas

et al. 2020

Phys. Rev. B

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We consider a contribution w ch to the micromagnetic energy density that is linear with respect to the first spatial derivatives of the magnetization direction. For a generalized 2D Rashba ferromagnet, we present a microscopic analysis of this contribution and, in particular, demonstrate that it cannot be expressed through Lifshitz invariants beyond the linear order in the spin-orbit coupling strength. Effects of terms in w ch beyond Lifshitz invariants on the phase diagram of magnetic states and spin waves dispersion are discussed. Finally, we present a classification of all terms in w ch allowed by symmetry, for each crystallographic point group.

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mentioning

confidence: 99%

Chiral ferromagnetism beyond Lifshitz invariants

Ado¹,

Qaiumzadeh

Brataas

et al. 2020

Phys. Rev. B

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“…The Rashba spin-splitting, as a function of carrier density, was investigated in a high-mobility 2DEG formed in p- type Hg 0.77 Cd 0.23 Te inversion layers with a normal band structure using WAL analysis [ 24 ]. The values of Δ R and α were 2–10 meV and 8–24 × 10 −12 eV·m in the density range from 3 × 10 11 cm −2 to 6 × 10 11 cm −2 .…”

Section: Discussionmentioning

confidence: 99%

“…There are a few investigations of Rashba spin-splitting in HgTe QW with an inverted band order [ 11 , 12 , 13 , 14 , 23 ] that demonstrate a large spin-splitting. The triangle QWs in inversion layers on HgCdTe with normal [ 24 ] and inverted [ 15 ] band structures grown by the liquid-phase epitaxy technique were studied, and the latter demonstrated the record spin-splitting of 34 meV.…”

Section: Introductionmentioning

confidence: 99%

Rashba Spin Splitting in HgCdTe Quantum Wells with Inverted and Normal Band Structures

et al. 2022

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In quantum wells (QWs) formed in HgCdTe/CdHgTe heterosystems with a variable composition of Cd(Hg), Shubnikov-de-Haas (SdH) oscillations are investigated to characterize the Rashba-type spin-orbit coupling in QWs with both a normal and inverted band structure. Several methods of extracting the Rashba spin-splitting at zero magnetic field and their magnetic field dependences from the beatings of SdH oscillations are used for greater reliability. The large and similar Rashba splitting (25–27 meV) is found for different kinds of spectrum, explained by a significant fraction of the p-type wave functions, in both the E1 subband of the sample with a normal spectrum and the H1 subband for the sample with an inverted one.

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“…Because the asymmetry of electron's envelope function can be effectively tuned by the magnitude of F 43 , it forms the fundament of manipulating the spin splitting and spin states with external electric field. Different from the conventional k-linear Rashba term, the spin splitting in HgTe QWs produced by ĤSIA is nonlinear in k, because the kinetic energy of electrons is comparable to the narrow band gap 4,5 . This is a general feature of narrow-gap systems, and here it can be exactly taken into account by the eight-band model.…”

Section: B Cpge Induced By Structure Inversion Asymmetrymentioning

confidence: 95%

“…With the rapid growth of spintronics, the spin properties of Hg 1−x Cd x Te systems have attracted more and more attention in recent decades. Various spin-related phenomena have been discovered in HgTe-based quantum wells (HgTe QWs), such as giant 2,3 and nonlinear spin splitting 4,5 , large effective g factor 6 , and intrinsic spin Hall effect 7,8 . At the heart of these spin-related phenomena, the very strong spin-orbit interaction (SOI) of Hg 1−x Cd x Te plays an essential role.…”

Section: Introductionmentioning

confidence: 99%

Enhanced circular photogalvanic effect in HgTe quantum wells in the heavily inverted regime

Yang

Liu

et al. 2017

Phys. Rev. B

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HgTe-based quantum wells (QWs) possess very strong spin-orbit interaction (SOI) and have become an ideal platform for the study of fundamental SOI-dependent phenomena and the topological insulator phase. Circular photogalvanic effect (CPGE) in HgTe QWs is of great interest because it provides an effective optical access to probe the spin-related information of HgTe systems. However, the complex band structure and large spin-splitting of HgTe QWs makes it inadequate to analyze the experimental results of CPGE in HgTe QWs [B. Wittmann et al., Semicond. Sci. Technol. 25, 095005 (2010)] with reduced band models. Here, based on the realistic eight-band k · p Hamiltonian and combined with the density-matrix formalism, we present a detailed theoretical investigation of CPGE in (001)-oriented Hg0.3Cd0.7Te/HgTe/Hg0.3Cd0.7Te QWs. We find the CPGE currents in HgTe QWs in the heavily inverted regime are significantly enhanced due to the strong distortion of band dispersion at a certain range of the energy spectrum. This enhancement effect could offer an experimental certificate that the HgTe QW is in the heavily inverted phase (usually accompanied with the emergence of two-dimensional topological edge states), and could also be utilized in engineering the high efficiency ellipticity detector of infrared and terahertz radiation [S. N. Danilov et al., J. Appl. Phys. 105, 013106 (2009)]. Additionally, within the same theoretical framework, we also investigate the interplay effect of structure inversion asymmetry and bulk inversion asymmetry and the pure spin currents driven by linearly polarized light in HgTe QWs.

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The nonlinear Rashba effect in Hg0.77Cd0.23Te inversion layers probed by weak antilocalization analysis

Cited by 11 publications

References 55 publications

Chiral ferromagnetism beyond Lifshitz invariants

Chiral ferromagnetism beyond Lifshitz invariants

Rashba Spin Splitting in HgCdTe Quantum Wells with Inverted and Normal Band Structures

Enhanced circular photogalvanic effect in HgTe quantum wells in the heavily inverted regime

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