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Rashba coupling in quantum dots: exact solution

E. Tsitsishvili·G. S. Lozano·A. O. Gogolin
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Abstract

We present an analytic solution to the problem of the Rashba spin-orbit coupling in semiconductor quantum dots. We calculate the exact energy spectrum, wave-functions, and spin--flip relaxation times. We discuss various effects inaccessible via perturbation theory. In particular, we find that the effective gyromagnetic ratio is strongly suppressed by the spin-orbit coupling. The spin-flip relaxation rate has a maximum as a function of the spin-orbit coupling and is therefore suppressed in both the weak- and strong coupling limits.

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E. Tsitsishvili, G. S. Lozano, A. O. Gogolin. 2003-10-13. Rashba coupling in quantum dots: exact solution. https://doi.org/10.1103/physrevb.70.115316

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