Decoherence of localized spins interacting via RKKY interaction
Yoshiaki Rikitake, Hiroshi Imamura

TL;DR
This paper theoretically investigates how localized spins interacting through RKKY interaction experience decoherence across different dimensions, deriving kinetic equations and estimating decoherence times, with implications for quantum dot systems.
Contribution
It derives a kinetic equation for localized spins interacting via RKKY and analyzes decoherence suppression in ferromagnetic cases, providing estimates for decoherence times in quantum dot systems.
Findings
Energy relaxation is suppressed in ferromagnetic RKKY interactions.
Decoherence times are estimated for quantum dots in 2D electron gases.
Decoherence behavior varies across different spatial dimensions.
Abstract
We theoretically study decoherence of two localized spins interacting via the RKKY interaction in one-, two-, and three-dimensional electron gas. We derive the kinetic equation for the reduced density matrix of the localized spins and show that energy relaxation caused by singlet-triplet transition is suppressed when the RKKY interaction is ferromagnetic. We also estimate the decoherence time of the system consisting of two quantum dots embedded in a two dimensional electron gas.
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