Statistics of Coulomb Blockade Peak Spacings
arXiv:cond-mat/9708090 · doi:10.1103/PhysRevLett.80.4522
Abstract
Distributions of Coulomb blockade peak spacing are reported for large ensembles of both unbroken (magnetic field B = 0) and broken (B <> 0) time reversal symmetry in GaAs quantum dots. Both distributions are symmetric and roughly gaussian with a width ~ 2-6% of the average spacing, with broad, non-gaussian tails. The distribution is systematically wider at B = 0 by a factor of ~ 1.2 +- 0.1. No even-odd spacing correlations or bimodal structure in the spacing distribution is found, suggesting an absence of spin-degeneracy. There is no observed correlation between peak spacing and peak height.
To appear in PRL; 13 pages, one table, 3 figures; pdf available at http://www-leland.stanford.edu/group/MarcusLab/papers/Patel_peakspacing.pdf
References in corpus (5)
- Random-Matrix Theory of Quantum Transport
- Fluctuations of Conductance Peak Spacings in the Coulomb Blockade Regime: Role of Electron-Electron Interaction
- Correlations between Ground and Excited State Spectra of a Quantum Dot
- Statistics of conductance oscillations of a quantum dot in the Coulomb-blockade regime
- Compressibility, capacitance and ground state energy fluctuations in a weakly interacting quantum dot
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