Electron-nuclei spin relaxation through phonon-assisted hyperfine interaction in a quantum dot

Abstract

We investigate the inelastic spin-flip rate for electrons in a quantum dot due to their contact hyperfine interaction with lattice nuclei. In contrast to other works, we obtain a spin-phonon coupling term from this interaction by taking directly into account the motion of nuclei in the vibrating lattice. In the calculation of the transition rate the interference of first and second orders of perturbation theory turns out to be essential. It leads to a suppression of relaxation at long phonon wavelengths, when the confining potential moves together with the nuclei embedded in the lattice. At higher frequencies (or for a fixed confining potential), the zero-temperature rate is proportional to the frequency of the emitted phonon. We address both the transition between Zeeman sublevels of a single electron ground state as well as the triplet-singlet transition, and we provide numerical estimates for realistic system parameters. The mechanism turns out to be less efficient than electron-nuclei spin relaxation involving piezoelectric electron-phonon coupling in a GaAs quantum dot.

8 pages, 1 figure

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• Measurement, control, and decay of quantum-dot spins
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• Spin Relaxation in a Quantum Dot due to Nyquist Noise
• Reexamination of spin decoherence in semiconductor quantum dots from equation-of-motion approach
• Control of spin relaxation in semiconductor double quantum dots
• Spin relaxation rates in quasi-one-dimensional coupled quantum dots
• Electron and hole spin relaxation in InP-based self-assembled quantum dots emitting at telecom wavelengths
• Temperature-dependent dynamical nuclear polarization bistabilities in double quantum dots in the spin-blockade regime
• Control of spin coherence in semiconductor double quantum dots
• Electric manipulation of electron spin relaxation induced by confined phonons in nanowire-based double quantum dots
• Temperature dependence of electron-spin relaxation in a single InAs quantum dot at zero applied magnetic field
• Spin Bath Decoherence Mediated by Phonons
• Spin Relaxation in Isotopically Purified Silicon Quantum Dots
• Spin conversion rates due to dipolar interactions in mono-isotopic quantum dots at vanishing spin-orbit coupling