Supplementary Information: Electric Dipole Induced Spin Resonance in Disordered Semiconductors
نویسنده
چکیده
Here, we give a more detailed account of the evaluation of the polarization S (ω), Eq. (A11) of the Article, in terms of the spin-spin and the spin-momentum terms, X , Y , respectively, and the spin vertex correction Σ. The simultaneous presence of the internal and external fields, α(p × ez) and b0, resp., breaks the symmetry in orbital space such that no closed analytical expression for the integrals in Eq. (A10) and hence for X can be obtained in the general case. However, the most important regime for EDSR is given by the regime where the internal field is much smaller than the (perpendicular) static external magnetic field, as in standard paramagnetic resonance (see also next section). Thus, without any essential restriction we can concentrate on the regime with the SOI being small compared to b0, i.e. a = αpF /2b0 = x/2ωLτ 1. First, upon inspection of Eq. (A11) we note that the contribution of Y to the polarization is due to the momentum-part of the velocity and thus must vanish in the absence of SOI. Thus, the leading order term in Eq. (A11) coming from Y is at least linear in a (assuming analyticity). More precisely, with a calculation similar to the one outlined below for X , we obtain for the spin-momentum diagram
منابع مشابه
Controlling a nanowire spin-orbit qubit via electric-dipole spin resonance.
A semiconductor nanowire quantum dot with strong spin-orbit coupling (SOC) can be used to achieve a spin-orbit qubit. In contrast to a spin qubit, the spin-orbit qubit can respond to an external ac electric field, an effect called electric-dipole spin resonance. Here we develop a theory that can apply in the strong SOC regime. We find that there is an optimal SOC strength η(opt)=√2/2, where the...
متن کاملStrain-assisted spin manipulation in a quantum well
We show that the efficiency of manipulating electron spins in semiconductor quantum wells can be enhanced by tuning strain strengths. The combined effects of intrinsic and strain-induced spinorbit couplings vary for different quantum wells, which provide an alternative route to understand the experimental phenomena brought in by the strain. The contribution to the electron-dipole-spin-resonance...
متن کاملTheory of electric dipole spin resonance in quantum dots: Mean field theory with Gaussian fluctuations and beyond
متن کامل
Electric field induced nuclear spin resonance mediated by oscillating electron spin domains in GaAs-based semiconductors.
We demonstrate an alternative nuclear spin resonance using a radio frequency (rf) electric field [nuclear electric resonance (NER)] instead of a magnetic field. The NER is based on the electronic control of electron spins forming a domain structure. The rf electric field applied to a gate excites spatial oscillations of the domain walls and thus temporal oscillations of the hyperfine field to n...
متن کامل