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

Moroz, Alexander; Barnes, Colin

doi:10.1103/physrevb.60.14272

Cited by 233 publications

(248 citation statements)

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“…This differs, especially due to the magnetic field dependence of the right hand side, qualitatively and quantitatively from our result (13). In particular, for appropriate parameters the results of Ref.…”

Section: Variational Approach To the ν = 1 Quantum Hall Ferromagnetcontrasting

confidence: 85%

“…Therefore this variational ansatz might not be optimal for this more general case but still yields a variational energy lower than ε ↓ f p . However, in the cases investigated in the previous subsection III A the ansatz (14) usually gives lower energies than (22) for realistic system parameters fulfilling the inequality (13). In the remainder of this subsection we shall concentrate again on the case of Rashba spin-orbit coupling with gq > 0.…”

Section: Variational Approach To the ν = 1 Quantum Hall Ferromagnetmentioning

confidence: 98%

“…for certain values of |r| if and only if the coefficient (ε − 1 − ε 0 ) of the quadratic term is negative which is equivalent to the condition (13). In this case the minimizing value for |r| is given by…”

Section: Variational Approach To the ν = 1 Quantum Hall Ferromagnetmentioning

confidence: 99%

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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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Section: Variational Approach To the ν = 1 Quantum Hall Ferromagnetcontrasting

confidence: 85%

Section: Variational Approach To the ν = 1 Quantum Hall Ferromagnetmentioning

confidence: 98%

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

2003

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“…11 Thus, the interplay of SOI and quantum confinement in quasi-1D systems 34,35,36 and quantum Hall edge channels 37 has been studied. First experimental results on SOI in quantum wires have been obtained.…”

Section: Introductionmentioning

confidence: 99%

Rashba effect and magnetic field in semiconductor quantum wires

2005

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We investigate the influence of a perpendicular magnetic field on the spectral and spin properties of a ballistic quasi-one-dimensional electron system with Rashba effect. The magnetic field strongly alters the spin-orbit induced modification to the subband structure when the magnetic length becomes comparable to the lateral confinement. A new subband-dependent energy splitting at k = 0 is found which can be much larger than the Zeeman splitting. This is due to the breaking of a combined spin orbital-parity symmetry.

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“…5,[19][20][21][22] We assume that B ជ N is parallel to the external magnetic field B ជ ext . 16 Recent studies of 2DEG-based systems [23][24][25] have been focused on including the effects of the spin-orbit interaction on the conductance with perfect channel transmission T(E) ϭ1. Other studies 8,26 -28 have dealt with similar effects in hybrid ferromagnetic-semiconductor systems but with transmission coefficients less than 1.…”

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confidence: 99%

Effect of spin-orbit interaction and in-plane magnetic field on the conductance of a quasi-one-dimensional system

2004

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We study the effect of spin-orbit interaction and in-plane effective magnetic field on the conductance of a quasi-one-dimensional ballistic electron system. The effective magnetic field includes the externally applied field, as well as the field due to polarized nuclear spins. The interplay of the spin-orbit interaction with effective magnetic field significantly modifies the band structure, producing additional sub-band extrema and energy gaps, introducing the dependence of the sub-band energies on the field direction. We generalize the Landauer formula at finite temperatures to incorporate these special features of the dispersion relation. The obtained formula describes the conductance of a ballistic conductor with an arbitrary dispersion relation.Recently, there have been numerous studies, both theoretical and experimental, of the properties of quasi-one-dimensional systems [1][2][3][4][5][6][7][8]. The motivation behind this interest has been the observation of conductance quantization. Most quasi-one-dimensional systems, or Quantum Wires (QW), are created by a split gate technique in a two-dimensional electron gas (2DEG) [6,7]. When a negative potential is applied to the gates, the electrons are depleted underneath. Thus, a one-dimensional channel or constriction is created between two reservoirs, in this case the 2DEG. For ballistic transport to occur [1], this constriction should be less than the electron mean free path, and have a width of the order of de Broglie wavelength [6][7][8]. When these conditions are satisfied, the electrons will move ballistically in the lateral direction and are confined transversely. The transverse confinement creates a discrete set of modes in the channel.The explanation for conductance quantization is found by using a non-interacting electron model.With a small bias applied across the channel, the electrons move from one reservoir to the other. Due to the transverse confinement in channel, the electrons are distributed, according to the Fermi-Dirac distribution, among various sub-bands in the channel. The calculation of the conductance has been summarized in the Landauer-Büttiker formalism [6][7][8]. Each one of the sub-bands contributes to the conductance.

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

Cited by 233 publications

References 50 publications

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

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

Rashba effect and magnetic field in semiconductor quantum wires

Effect of spin-orbit interaction and in-plane magnetic field on the conductance of a quasi-one-dimensional system

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