The influence of anisotropic Rashba spin–orbit coupling on current-induced spin polarization in graphene

Hosseini, Mir Vahid

doi:10.1088/1361-648x/aa7735

Cited by 5 publications

(5 citation statements)

References 86 publications

(147 reference statements)

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“…The breaking of both mirror and hexagonal symmetries can lead to the anisotropic Rashba SOC, effects of which on the energy spectrum of the two-dimensional electron gas [53], metallic surface states [54] or electrons in graphene sheet [55] have been investigated. The spin polarization can be influenced by the anisotropic Rashba SOC and there is a Lifshitz transition.…”

Section: Discussionmentioning

confidence: 99%

The competition between the intrinsic and Rashba spin–orbit coupling and effects of correlations on Rashba SOC-driven transitions in the Kane–Mele model

Li²,

Lu³

et al. 2020

J. Phys.: Condens. Matter

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We investigate, firstly, the competition between the Rashba spin–orbit coupling (SOC) and the intrinsic SOC in Kane–Mele model. For the small intrinsic SOC, we investigate the effects of the Rashba SOC on the touching point of the valence and conduction bands when the ratio of the Rashba SOC to the intrinsic SOC is greater than classical value 2 3 . For the large intrinsic SOC, we find that the critical ratio of the two SOCs at which the band touching occurs decreases with the increasing intrinsic SOC and the locations of these touching points deviate from points K and K′ of the Brillouin zone. Furthermore, effects of the Rashba SOC on these touching points are discussed in detail when the ratio is greater than the critical value. The Rashba SOC-driven topologically trivial and non-trivial transitions are also obtained in the first part of the work. Secondly, using the slave-rotor mean field method we investigate the influences of the correlation on the Rashba SOC-driven topologically trivial and non-trivial transitions in both the charge condensate and Mott regions. The topological Mott insulator with gapped or gapless spin excitations which arises from the interplay of the Rashba SOC and correlations is obtained in the work.

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Section: Discussionmentioning

confidence: 99%

The competition between the intrinsic and Rashba spin–orbit coupling and effects of correlations on Rashba SOC-driven transitions in the Kane–Mele model

Li²,

Lu³

et al. 2020

J. Phys.: Condens. Matter

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show abstract

“…The breaking of both mirror and hexagonal symmetries can lead to the anisotropic Rashba SOC, effects of which on the energy spectrum of the two-dimensional electron gas 54 , metallic surface states 55 or electrons in graphene sheet 56 have been investigated. The spin po-larization can be influenced by the anisotropic Rashba SOC and there is a Lifshitz transition.…”

Section: Discussionmentioning

confidence: 99%

The competition between the intrinsic and Rashba spin-orbit coupling and effects of correlations on Rashba SOC-driven transitions in the Kane-Mele model

Du,

Li,

et al. 2020

Preprint

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We investigate, firstly, the effects of the Rashba SOC on the band structrue of the Kane-Mele model. The competition between the Rashba SOC and the intrinsic SOC can lead to the rich phenomenology. The Rashba SOC can drive the indirect and direct energy gap to close successively, but maintain the band touching between the valence band and the conduction band when the Rashba SOC is large enough to dominant the competition. We find that these touching points are located at K and K ′ or/and some 2π/3 rotationally symmetric points around K and K ′ in the Brillouin zone. The indirect and direct energy gap closings correspond to the topologically trivial and non-trivial phase transitions respectively. For the small intrinsic SOC, the topologically non-trivial transition occurs when the ratio of the Rashba SOC to the intrinsic SOC is equal to the classical result, i.e. 2 √ 3. For the large intrinsic SOC, however, we find that the ratio decreases with the increasing intrinsic SOC. Secondly, using the slave-rotor mean field method we investigate the influences of the correlation on the Rashba SOC-driven topologically trivial and non-trivial transition in both the charge condensate and Mott regions. The topological Mott insulator with gapped or gapless spin excitations can arise from the interplay of the Rashba SOC and correlations.

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“…where k c = π/a is the wave vector cutoff, sgn(x) is the Sign function, and γ b = n i u 2 0 / 4v 2 F is the impurity parameter. In the gap region, |µ| < ∆, due to the absence of states, the self-energies take exponentially small values [34,35]. Generally, the self-energies (19) can be written as…”

Section: Pointlike Impuritiesmentioning

confidence: 99%

Enhanced and stable spin Hall conductivity in a disordered time-reversal and inversion symmetry broken topological insulator thin film

Siamak¹,

Hosseini²

2022

Preprint

Self Cite

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We consider a disordered topological insulator thin film placed on the top of a ferromagnetic insulator with a perpendicular exchange field M and subjected to a perpendicular electric field. The presence of ferromagnetic insulator causes that bottom surface states of the topological insulator thin film become spin polarized and the electric field provides a potential difference V between the two surface states, resulting in breaking of time-reversal and inversion symmetry in the system. Using Kubo formalism and employing the first Born approximation as well as the self-consistent Born approximation, we calculate the spin Hall conductivity. We find that for small values of V , a large spin conductivity can be generated through large values of M away from the charge neutrality point. But for large values of V , the spin conductivity can be promoted even with small values of M around the charge neutrality point. The effect of vertex corrections and the stability of the obtained large spin conductivity against disorders are also examined.

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The influence of anisotropic Rashba spin–orbit coupling on current-induced spin polarization in graphene

Cited by 5 publications

References 86 publications

The competition between the intrinsic and Rashba spin–orbit coupling and effects of correlations on Rashba SOC-driven transitions in the Kane–Mele model

The competition between the intrinsic and Rashba spin–orbit coupling and effects of correlations on Rashba SOC-driven transitions in the Kane–Mele model

The competition between the intrinsic and Rashba spin-orbit coupling and effects of correlations on Rashba SOC-driven transitions in the Kane-Mele model

Enhanced and stable spin Hall conductivity in a disordered time-reversal and inversion symmetry broken topological insulator thin film

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