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Transverse Spin-Orbit Force in the Spin Hall Effect in Ballistic Semiconductor Wires | | Branislav K. Nikolic
; Liviu P. Zarbo
; Sven Welack
; | | Date: |
17 Mar 2005 | | Journal: | Phys. Rev. B 72, 075335 (2005) DOI: 10.1103/PhysRevB.72.075335 | | Subject: | Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall | | Abstract: | We introduce the spin and momentum dependent {em force operator} which is defined by the Hamiltonian of a {em clean} semiconductor quantum wire with homogeneous Rashba spin-orbit (SO) coupling attached to two ideal (i.e., free of spin and charge interactions) leads. Its expectation value in the spin-polarized electronic wave packet injected through the leads explains why the center of the packet gets deflected in the transverse direction. Moreover, the corresponding {em spin density} will be dragged along the transverse direction to generate an out-of-plane spin accumulation of opposite signs on the lateral edges of the wire, as expected in the phenomenology of the spin Hall effect, when spin-$uparrow$ and spin-$downarrow$ polarized packets (mimicking the injection of conventional unpolarized charge current) propagate simultaneously through the wire. We also demonstrate that spin coherence of the injected spin-polarized wave packet will gradually diminish (thereby diminishing the ``force’’) along the SO coupled wire due to the entanglement of spin and orbital degrees of freedom of a single electron, even in the absence of any impurity scattering. | | Source: | arXiv, cond-mat/0503415 | | Services: | Forum | Review | PDF | Favorites | |
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