Spin-orbit interaction in the quantum dot

Abstract

The electronic states of a parabolic quantum dot in a magnetic field are studied with the inclusion of the spin-orbit interaction. The analitycal formulae for the ground state energy of the interacting system are derived. The spin-orbit interaction is shown to introduce new features to the far infrared absorption spectrum, where it leads to the splitting of the two principal modes. The results are compared with the charging experiments by Ashoori et al. and the far infra-red absorption measurements by Demel et al.

Determination of the parameters of a microscopic object from a complex response of a differential microscope

“…equation (13) in [9]. As a consequence, as shown in a long calculation in [10] for which we do not have a shorter argument, the ratio of the exchange energy divided by the Hartree energy decreases in d = 2 dimensions as N −1/4 . Therefore at sufficiently high N ( 10 2 -10 3 ) the exchange should no longer play the usual all-important central role-considering also exact calculations for O(10) electrons (see e.g.…”

“…As in [10], we now use Laplace transforms of the quantities appearing in (18) where c is an arbitrary real number, which must only be 'positive enough' to ensure existence of the transformation (see below). Then N s and Y s can be represented in the following form:…”

“…If we retain only the first two terms in the r.h.s. of (30) and use (22), then we come to the following equation for R [10]:…”

“…even in an early paper of Dingle [16], before the invention of quantum dots, and later on in papers of Maksym and Chakraborty [7], and in [12]. Furthermore, numerical results for small numbers of electrons, N = O (10), show that the maximum electron density may not be at the origin for all electron numbers and magnetic fields (see e.g. [8,9,14,17]), and that the 'electronic edge' of the quantum dot may get a non-trivial structure, i.e.…”

Reducing of magnon-induced spin pure dephasing in quantum dots at low temperatures

“…Decoherence of QD spin in nonmagnetic media is caused by interaction with nuclear spins from surroundings and by spin-orbit coupling ͑the latter is important in multielectron QDs͒. 9 Both interactions are weak, which results in relatively small and slow spin-decoherence rates. The drawback of spin is, however, a very slow spin control available in nonmagnetic semiconductors due to a small value of a gyromagnetic factor in typical materials ͑e.g., in GaAs the Zeeman splitting is only ϳ0.03 meV/ T͒.…”