Rashba

Rashba-Step, J., Tatoyan, A., Duncan, R,. Ann, D., Pushpa-Rehka, T.R., and Sevanian, A, 1997, PhosphoUpid peroxidation induces cytosolic phospholipase A2 activity membrane effects versus enzyme phosphorylation, Arcii. Biochem. Biophys. 343 44-54. 

Rashba El (2000) Theory of electrical spin injection tunnel contacts as a solution of the conductivity mismatch problem. Phys Rev B 62 R16267-R16270... 

There is a wide literature on excitons an early review is that by Knox (1963), and a book dealing exhaustively with the subject is Rashba and Sturge (1982). The aspects most relevant to the discussions in the present book are... 

Summary. We consider the Josephson effect in a ballistic Superconductor/ Quantum Wire/ Superconductor junction. It is shown that the interplay of chiral symmetry breaking generated by Rashba spin-orbit interaction and Zeeman splitting results in the appearance of a Josephson current even in the absence of any phase difference between the superconductors. 

In quantum wires formed in a two-dimensional electron gas (2DEG) by lateral confinement the Rashba spin-orbit interaction is not reduced to a pure ID Hamiltonian H[s = asopxaz. As was shown in Ref. [4] the presence of an inplane confinement potential qualitatively modifies the energy spectrum of the ID electrons so that a dispersion asymmetry appears. As a result the chiral symmetry is broken in quantum wires with Rashba coupling. Although the effect was shown [4] not to be numerically large, the breakdown of symmetry leads to qualitatively novel predictions. 

We have considered here the influence of dispersion asymmetry and Zee-man splitting on the Josephson current through a superconductor/quantum wire/superconductor junction. We showed that the violation of chiral symmetry in a quantum wire results in qualitatively new effects in a weak superconductivity. In particularly, the interplay of Zeeman and Rashba interactions induces a Josephson current through the hybrid ID structure even in the absence of any phase difference between the superconductors. At low temperatures (T critical Josephson current. For a transparent junction with small or moderate dispersion asymmetry (characterized by the dimensionless parameter Aa = (vif — v2f)/(vif + V2f)) it appears, as a function of the Zeeman splitting Az, abruptly at Az hvp/L. In a low transparency (D Josephson current at special (resonance) conditions is of the order of yfD. In zero magnetic field the anomalous supercurrent disappears (as it should) since the spin-orbit interaction itself respects T-symmetry. However, the influence of the spin-orbit interaction on the critical Josephson current through a quasi-ID structure is still anomalous. Contrary to what holds... 

Brown, L., Blizzard, C., Rashba-Step, J., et al. Versatile bioerodible microsphere technology, in Proceedings of the 26th International Symposium on Controlled Release of Bioactive Materials. San Diego, CA Controlled Release Society, 1999. 

We also assume that k lo E and, therefore, the Rashba Hamiltonian can be treated locally as uniform field that describes the random SO coupling in the semiclassical approximation as ... 

Let us consider the spin relaxation of an ensemble of j = 1, N electrons moving with the velocities Vj, v l = v for all electrons assuming that the free path / vt >- /(). We select one representative of the ensemble which starts at a point pi in the fully polarized state with sz)j = 1/2. Its path is then l = vt and the coordinate p f) = pi + Vjt Each electron in the ensemble interacts with the random Rashba field corresponding to its path. The spin precesses randomly and when an electron arrives at time t at the point //. its -component and the mean 2-polarization of the ensemble Sz(l) are given by ... 

The spin transistor as represented in Fig. 34 is a vertical spin transistor. Figure 35 is a schematic picture of a lateral spin transistor as originally proposed by Datta and Das [179]. In this case, a iron emitter injects spins into a 2D electron gas. A Schottky gate can rotate the spin polarization by the Rashba effect, and another iron analyzer detects transmitted spin polarized current. 

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