Integer spin Hall effect in ballistic quantum wires

We introduce the construction of a orthogonal wavepacket basis set, using the concept of stroboscopic time propagation, tailored to the efficient description of non-equilibrium extended electronic systems.Thanks to three desirable properties of this basis, significant insight is provided into non-equilibrium processes (both time-dependent and steady-state), and reliable physical estimates of various many-electron quantities such as density, current and spin polarization can be obtained. The use of this novel tool is demonstrated for time-dependent switching-on of the bias in quantum transport, and new results are obtained for current-induced spin accumulation at the edge of a 2D doped semiconductor caused by edge-induced spinorbit interaction. 72.10.Bg,

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“…In parallel, several other authors 20,21,22 considered the spin-orbit (SO) coupling due to nonzero gradient in potential in-plane,…”

Section: Edge-induced Spin Hall Effect It Has Been Recently Shown Thmentioning

confidence: 99%

Stroboscopic Wave-Packet Description of Nonequilibrium Many-Electron Problems

Bokes

Corsetti²,

Godby³

2008

Phys. Rev. Lett.

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“…Several authors have considered such a situation in quantum wires with a parabolic confining potential [17][18][19][20] , wider strips with parabolic 21 or abrupt 22 confinement edge. These alterations in the potential landscape can be also viewed as the "impurity" which leads to nonzero spin polarization induced by the flow of the electric current.…”

Section: Introductionmentioning

confidence: 99%

Edge-induced spin polarization in two-dimensional electron gas

Bokes

Horvath

2010

Phys. Rev. B

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We characterize the role of the spin-orbit coupling between electrons and the confining potential of the edge in nonequilibrium 2D homogeneous electronic gas. We derive a simple analytical result for the magnitude of the current induced spin polarization at the edge and prove that it is independent of the details of the confinement edge potential and the electronic density within realistic values of the parameters of the considered models. While the amplitude of the spin accumulation is comparable to the experimental values of extrinsic spin Hall effect in similar samples, the spatial extent of edge induced effect is restricted to the distances of the order of Fermi wavelength (∼ 10nm).

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“…We recall that the classical Hall effect arises physically from a velocity dependent force, such as the Lorentz force, whereas another velocity dependent force in condensed matter systems is the SO coupling force [26,27]. Thus, in finite-size electron systems the presence of some kind of spin-Hall effect can be due to the interplay between the spin-orbit coupling (generating a kind of Lorentz force) and the edge of the device [28,29,30,31,32], analogously to what happens in the Hall effect.…”

Section: Resultsmentioning

confidence: 99%

Hamiltonian reduction and supersymmetric mechanics with Dirac monopole

2006

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We apply the technique of Hamiltonian reduction for the construction of three-dimensional N = 4 supersymmetric mechanics specified by the presence of a Dirac monopole. For this purpose we take the conventional N = 4 supersymmetric mechanics on the four-dimensional conformally-flat spaces and perform its Hamiltonian reduction to three-dimensional system. We formulate the final system in the canonical coordinates, and present, in these terms, the explicit expressions of the Hamiltonian and supercharges. We show that, besides a magnetic monopole field, the resulting system is specified by the presence of a spin-orbit coupling term. A comparison with previous work is also carried out.

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Integer spin Hall effect in ballistic quantum wires

Cited by 24 publications

References 32 publications

Stroboscopic Wave-Packet Description of Nonequilibrium Many-Electron Problems

Stroboscopic Wave-Packet Description of Nonequilibrium Many-Electron Problems

Edge-induced spin polarization in two-dimensional electron gas

Hamiltonian reduction and supersymmetric mechanics with Dirac monopole

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