Objective:
- Spin life-time (T1 times) measurements have been performed for single donors and STM-patterned donor clusters.
- Previous theories use deformation potential constants to treat this problem.
- Need a comprehensive approach to capture phonon induced T1 times quantitatively and qualitatively without adjustable parameters.
Method:
- Electron-phonon Hamiltonian is represented by the full tight-binding electron Hamiltonian with strain.
- Fermi’s Golden rule for relaxation rate.
- Self consistent mean-field method for clusters with more than one electron.
Results/Impact:
- Good quantitative and qualitative match with the measured T1 times for single donors .
- Explains the donor cluster experimental results.
- Predicts long T1 times with 1 electron-few donors clusters.
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