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Statistical theory of Coulomb blockade oscillations: Quantum chaos in quantum dots
Abstract
We develop a statistical theory of the amplitude of Coulomb blockade oscillations in semiconductor quantum dots based on the hypothesis that chaotic dynamics in the dot potential leads to behavior described by random-matrix theory. Breaking time-reversal symmetry is predicted to cause an experimentally observable change in the distribution of amplitudes. The theory is tested numerically and good agreement is found.
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Citations
Cited by
Random-matrix theory of quantum transport
Beenakker, C. W. J. (1997) · Reviews of Modern Physics · doi:10.1103/revmodphys.69.731 · Cited by 2,551
The statistical theory of quantum dots
Alhassid, Y. (2000) · Reviews of Modern Physics · doi:10.1103/revmodphys.72.895 · Cited by 673
Self-citationFundamental aspects of steady-state conversion of heat to work at the nanoscale
Benenti, G., Casati, G., Saito, K., & Whitney, R. S. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.05.008 · Cited by 664
Fyodorov, Y. V., & Sommers, H.-J. (1997) · Journal of Mathematical Physics · doi:10.1063/1.531919 · Cited by 485
Universal Quantum Signatures of Chaos in Ballistic Transport
Jalabert, R. A., Pichard, J.-L., & Beenakker, C. W. J. (1994) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/27/4/001 · Cited by 317
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Metadata
- Authors
- Jalabert, R. A., Stone, A. D., & Alhassid, Y.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1992-06-08
- Volume
- 68
- Issue
- 23
- Pages
- 3468-3471
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1980859589
- Cited by
- 262
- References
- 0
- FWCI
- 10.71
- Type
- journal article
- Language
- en
- Open access
- closed
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- Jalabert, R. A., Stone, A. D., & Alhassid, Y. (1992). Statistical theory of Coulomb blockade oscillations: Quantum chaos in quantum dots. Physical Review Letters. https://doi.org/10.1103/physrevlett.68.3468
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