Weak localization in a lateral superlattice with Rashba and Dresselhaus spin-orbit interaction

Marinescu, D. C.; Manolescu, Andrei

doi:10.1103/physrevb.85.165302

Cited by 3 publications

(3 citation statements)

References 19 publications

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“…In this paper, we study the KP superlattice model with SOC, where an electron moves in an 1D periodic δ potential [29] in the presence of both SOC and the Zeeman field. We derive analytically four transcendental equations, which represent an implicit relation between the energy and the Bloch wavevector.…”

Section: Introductionmentioning

confidence: 99%

Energy spectrum, the spin polarization, and the optical selection rules of the Kronig-Penney superlattice model with spin-orbit coupling

2018

Phys. Rev. B

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The Kronig-Penney model, an exactly solvable one-dimensional model of crystal in solid physics, shows how the allowed and forbidden bands are formed in solids. In this paper, we study this model in the presence of both strong spin-orbit coupling and the Zeeman field. We analytically obtain four transcendental equations that represent an implicit relation between the energy and the Bloch wavevector. Solving these four transcendental equations, we obtain the spin-orbital bands exactly. In addition to the usual band gap opened at the boundary of the Brillouin zone, a much larger spinorbital band gap is also opened at some special sites inside the Brillouin zone. The x-component of the spin-polarization vector is an even function of the Bloch wavevector, while the z-component of the spin-polarization vector is an odd function of the Bloch wavevector. At the band edges, the optical transition rates between adjacent bands are nonzero.

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Section: Introductionmentioning

confidence: 99%

Energy spectrum, the spin polarization, and the optical selection rules of the Kronig-Penney superlattice model with spin-orbit coupling

2018

Phys. Rev. B

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“…σ i (i = x, y, z) are the Pauli spin matrices. ε ν (k) provides the periodic longitudinal modulation potential along x direction in the form of: 4,34,35…”

Section: Theoretical Modelmentioning

confidence: 99%

Spin transition rates in nanowire superlattices: Rashba spin–orbit coupling effects

Prabhakar¹,

Melnik²,

Bonilla³

2013

J. Phys. D: Appl. Phys.

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We investigate the influence of Rashba spin-orbit coupling in a parabolic nanowire modulated by longitudinal periodic potential. The modulation potential can be obtained from realistically grown supperlattices (SLs). Our study shows that the Rashba spin-orbit interaction induces the level crossing point in the parabolic nanowire SLs. We estimate large anticrossing width (approximately 117 µeV ) between singlet-triplet states. We study the phonon and electromagnetic field mediated spin transition rates in the parabolic nanowire SLs. We report that the phonon mediated spin transition rate is several order of magnitude larger than the electromagnetic field mediated spin transition rate. Based on the Feynman disentangling technique, we find the exact spin transition probability. For the case wave vector k = 0, we report that the transition probability can be tuned in the form of resonance at fixed time interval. For the general case (k = 0), we solve the Riccati equation and find that the arbitrary values of k induces the damping in the transition probability. At large value of Rashba spin-orbit coupling coefficients for (k = 0), spin transition probability freezes.

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“…Spin-dependent transport phenomena in lateral superlattices [6][7][8] have been investigated experimentally, mainly in a two-dimensional network of quantum rings [9,10]. Control of the spin geometric phase in semiconductor quantum rings has also been demonstrated [11,12].…”

Section: Introductionmentioning

confidence: 99%

Oscillating spin-orbit interaction in two-dimensional superlattices: Sharp transmission resonances and time-dependent spin-polarized currents

2015

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We consider ballistic transport through a lateral, two-dimensional superlattice with experimentally realizable, sinusoidally oscillating, Rashba-type spin-orbit interaction (SOI). The periodic structure of the rectangular lattice produces a spin-dependent miniband structure for static SOI. Using Floquet theory, transmission peaks are shown to appear in the mini-bandgaps as a consequence of the additional, time-dependent SOI. A detailed analysis shows that this effect is due to the generation of harmonics of the driving frequency, via which, e.g., resonances that cannot be excited in the case of static SOI become available. Additionally, the transmitted current shows space-and time-dependent partial spin polarization, in other words, polarization waves propagate through the superlattice.

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Weak localization in a lateral superlattice with Rashba and Dresselhaus spin-orbit interaction

Cited by 3 publications

References 19 publications

Energy spectrum, the spin polarization, and the optical selection rules of the Kronig-Penney superlattice model with spin-orbit coupling

Energy spectrum, the spin polarization, and the optical selection rules of the Kronig-Penney superlattice model with spin-orbit coupling

Spin transition rates in nanowire superlattices: Rashba spin–orbit coupling effects

Oscillating spin-orbit interaction in two-dimensional superlattices: Sharp transmission resonances and time-dependent spin-polarized currents

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