Zero-field spin splitting in a two-dimensional electron gas

Das, Biswajit; Datta, Supriyo; Reifenberger, R.

doi:10.1103/physrevb.41.8278

Cited by 227 publications

(159 citation statements)

References 23 publications

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“…The SO-coupling constant α takes values within a range (1 -10)×10 −10 eV×cm for different systems 16,21,23,29,31 . For brevity, in what follows we will refer to the Rashba mechanism of the SO coupling as α-coupling.…”

Section: Theory and Analysismentioning

confidence: 99%

“…For zero β-coupling (l ω /l β = 0) formulas (16) and (17) describe the well-known electric subbands 9,10 .…”

Section: B Zero α-Coupling (Square Quantum Well)mentioning

confidence: 99%

“…Although this interaction has an essentially relativistic nature (see, e.g., Refs. [10][11][12] ), it nevertheless can give rise to an observable modification of semiconductor band structure [13][14][15][16][17][18][19][20][21] .…”

Section: Introductionmentioning

confidence: 99%

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Effect of the spin-orbit interaction on the band structure and conductance of quasi-one-dimensional systems

1999

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We discuss the effect of the spin-orbit interaction on the band structure, wave functions and low temperature conductance of long quasi-one-dimensional electron systems patterned in twodimensional electron gases (2DEG). Our model for these systems consists of a linear (Rashba) potential confinement in the direction perpendicular to the 2DEG and a parabolic confinement transverse to the 2DEG. We find that these two terms can significantly affect the band structure introducing a wave vector dependence to subband energies, producing additional subband minima and inducing anticrossings between subbands. We discuss the origin of these effects in the symmetries of the subband wave functions. 71.70.Ej; 73.23.Ad

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Section: Theory and Analysismentioning

confidence: 99%

“…For zero β-coupling (l ω /l β = 0) formulas (16) and (17) describe the well-known electric subbands 9,10 .…”

Section: B Zero α-Coupling (Square Quantum Well)mentioning

confidence: 99%

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Effect of the spin-orbit interaction on the band structure and conductance of quasi-one-dimensional systems

1999

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“…In section II we review the single-particle states of charged particles in two-dimensional layers in the presence of a perpendicular magnetic field and spin-orbit interaction of the aforementioned type 9,10 . In section III we present our variational approach with several technical details given in the two appendices.…”

Section: Introductionmentioning

confidence: 99%

Variational study of theν=1quantum Hall ferromagnet in the presence of spin-orbit interaction

2003

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We investigate the ν = 1 quantum Hall ferromagnet in the presence of spin-orbit coupling of the Rashba or Dresselhaus type by means of Hartree-Fock-typed variational states. In the presence of Rashba (Dresselhaus) spin-orbit coupling the fully spin-polarized quantum Hall state is always unstable resulting in a reduction of the spin polarization if the product of the particle charge q and the effective g-factor is positive (negative). In all other cases an alternative variational state with O(2) symmetry and finite in-plane spin components is lower in energy than the fully spin-polarized state for large enough spin-orbit interaction. The phase diagram resulting from these considerations differs qualitatively from earlier studies.

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“…The quantities κ are defined in ref. [3]. We will assume that the wire is narrow enough and the temperature is low enough that only the lowest magneto-electric subband is occupied.…”

Section: Introductionmentioning

confidence: 99%

Magnetoelectric subbands and eigenstates in the presence of Rashba and Dresselhaus spin–orbit interactions in a quantum wire

Bandyopadhyay¹,

Pramanik²,

Cahay³

2004

Superlattices and Microstructures

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We derive the eigenenergies and eigenstates of electrons in a quantum wire subjected to an external magnetic field. These are calculated in the presence of spin orbit interactions arising from the Rashba (structural inversion asymmetry) and Dresselhaus (bulk inversion asymmetry) effects. We consider three cases: the external magnetic field is oriented (i) along the axis of the wire, (ii) perpendicular to the axis but parallel to the electric field associated with structural inversion asymmetry (Rashba effect), and (iii) perpendicular to the axis as well as the electric field. In all cases, the dispersions of the eigenenergies are non-parabolic and the subbands do not have a fixed spin quantization axis (meaning that the spin polarization of the electron is wavevector dependent). Except in the second case, the dispersion diagrams are also, in general, asymmetric about the energy axis. *

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Zero-field spin splitting in a two-dimensional electron gas

Cited by 227 publications

References 23 publications

Effect of the spin-orbit interaction on the band structure and conductance of quasi-one-dimensional systems

Effect of the spin-orbit interaction on the band structure and conductance of quasi-one-dimensional systems

Variational study of theν=1quantum Hall ferromagnet in the presence of spin-orbit interaction

Magnetoelectric subbands and eigenstates in the presence of Rashba and Dresselhaus spin–orbit interactions in a quantum wire

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