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Theory of nuclear-induced spectral diffusion: Spin decoherence of phosphorus donors in Si and GaAs quantum dots
Open accessAbstract
We propose a model for spectral diffusion of localized spins in semiconductors due to the dipolar fluctuations of lattice nuclear spins. Each nuclear spin flip flop is assumed to be independent, the rate for this process being calculated by a method of moments. Our calculated spin decoherence time ${T}_{M}=0.64\mathrm{ms}$ for donor electron spins in Si:P is a factor of 2 longer than spin echo decay measurements. For ${}^{31}\mathrm{P}$ nuclear spins we show that spectral diffusion is well into the motional narrowing regime. The calculation for GaAs quantum dots gives ${T}_{M}=10\ensuremath{-}50\ensuremath{\mu}\mathrm{s}$ depending on the quantum dot size. Our theory indicates that nuclear induced spectral diffusion should not be a serious problem in developing spin-based semiconductor quantum computer architectures.
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Cites
Quantum computation with quantum dots
Loss, D., & DiVincenzo, D. P. (1998) · Physical Review A · doi:10.1103/physreva.57.120 · Cited by 6,840
A silicon-based nuclear spin quantum computer
Kane, B. E. (1998) · Nature · doi:10.1038/30156 · Cited by 3,779
Preskill, J. (1998) · Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.1998.0167 · Cited by 994
Cited by
Ladd, T. D., Jelezko, F., Laflamme, R., Nakamura, Y., Monroe, C., & O’Brien, J. L. (2010) · Nature · doi:10.1038/nature08812 · Cited by 3,592
Coherent control of single spins in silicon carbide at room temperature
Widmann, M., Lee, S.-Y., Rendler, T., Son, N. T., Fedder, H., Paik, S., Yang, L.-P., Zhao, N., Yang, S., Booker, I., et al. (2015) · Nature Materials · doi:10.1038/nmat4145 · Cited by 668
Non-Markovian dynamics of a qubit coupled to an Ising spin bath
Krovi, H., Oreshkov, O., Ryazanov, M., & Lidar, D. A. (2007) · Physical Review A · doi:10.1103/physreva.76.052117 · Cited by 70
Metadata
- Authors
- de Sousa, R., & Das Sarma, S.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2003-09-29
- Volume
- 68
- Issue
- 11
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W1995123169
- Cited by
- 261
- References
- 3
- FWCI
- 12.86
- Type
- journal article
- Language
- en
- Open access
- green
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- de Sousa, R., & Das Sarma, S. (2003). Theory of nuclear-induced spectral diffusion: Spin decoherence of phosphorus donors in Si and GaAs quantum dots. Physical Review B. https://doi.org/10.1103/physrevb.68.115322
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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