Coulomb Blockade Peak Spacing Fluctuations in Deformable Quantum Dots: A Further Test of Random Matrix Theory

Vallejos, Raúl O.; Lewenkopf, Caio; Mucciolo, Eduardo R.

doi:10.1103/physrevlett.81.677

Cited by 47 publications

(58 citation statements)

References 20 publications

(29 reference statements)

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“…Within such sequences one may find in-phase resonances and/or strong correlations of the conductance peak heights. Vallejos, Lewenkopf, and Mucciolo [53] showed that shape deformations may change the spacing distribution of Coulomb blockade peaks. Stopa [54] demonstrated shape deformations in self-consistent calculations of the dot confining potential.…”

Section: Deformationsmentioning

confidence: 99%

Phase coherent transmission through interacting mesoscopic systems

2001

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This is a review of the phase coherent transmission through interacting mesoscopic conductors. As a paradigm we study the transmission amplitude and the dephasing rate for electron transport through a quantum dot in the Coulomb blockade regime. We summarize experimental and theoretical work devoted to the phase of the transmission amplitude. It is shown that the evolution of the transmission phase may be dominated by non-universal features in the short-time dynamics of the quantum dot. The controlled dephasing in Coulomb coupled conductors is investigated. Examples comprise a single or multiple quantum dots in close vicinity to a quantum point contact. The current through the quantum point contact "measures" the state of the dots and causes dephasing. The dephasing rate is derived using widely different theoretical approaches. The Coulomb coupling between mesoscopic conductors may prove useful for future work on electron coherence and quantum computing.

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Section: Deformationsmentioning

confidence: 99%

Phase coherent transmission through interacting mesoscopic systems

2001

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“…However, these approaches, which are valid at small r s (high densities), cannot easily explain the large widths (∼ 8∆) of the latest experiments [7]. A refined RMT approach [13], which accounts for shape deformations of the dot while adding electrons, explains the Gaussian profiles, while the widths remain comparable with ∆.…”

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confidence: 99%

Statistics of Coulomb-blockade peak spacings within the Hartree-Fock approximation

1999

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We study the effect of electronic interactions on the addition spectra and on the energy level distributions of two-dimensional quantum dots with weak disorder using the self-consistent HartreeFock approximation for spinless electrons. We show that the distribution of the conductance peak spacings is Gaussian with large fluctuations that exceed, in agreement with experiments, the mean level spacing of the non-interacting system. We analyze this distribution on the basis of Koopmans' theorem. We show furthermore that the occupied and unoccupied Hartree-Fock levels exhibit Wigner-Dyson statistics.

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“…Two main effects occur: (1) the peak heights fluctuate from peak to peak because of varying coupling between the wavefunction in the nanoparticle and the leads, and (2) the spacings between the peaks fluctuate because of interference contributions to the ground state energy. Peak heights have been studied first theoretically [9][10][11][12][13][14][15][16][17][18][19] and then experimentally [19][20][21]; agreement is good once effects of temperature [13,19] and classical dynamics [16][17][18] are taken into account.…”

Section: Introductionmentioning

confidence: 99%

Interactions in chaotic nanoparticles: Fluctuations in Coulomb blockade peak spacings

Ullmo

Baranger

2001

Phys. Rev. B

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We use random matrix models to investigate the ground state energy of electrons confined to a nanoparticle. Our expression for the energy includes the charging effect, the single-particle energies, and the residual screened interactions treated in Hartree-Fock. This model is applicable to chaotic quantum dots or nanoparticles-in these systems the single-particle statistics follows random matrix theory at energy scales less than the Thouless energy. We find the distribution of Coulomb blockade peak spacings first for a large dot in which the residual interactions can be taken constant: the spacing fluctuations are of order the mean level separation ∆. Corrections to this limit are studied using the small parameter 1/kF L: both the residual interactions and the effect of the changing confinement on the single-particle levels produce fluctuations of order ∆/ √ kF L. The distributions we find are significantly more like the experimental results than the simple constant interaction model.

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Coulomb Blockade Peak Spacing Fluctuations in Deformable Quantum Dots: A Further Test of Random Matrix Theory

Cited by 47 publications

References 20 publications

Phase coherent transmission through interacting mesoscopic systems

Phase coherent transmission through interacting mesoscopic systems

Statistics of Coulomb-blockade peak spacings within the Hartree-Fock approximation

Interactions in chaotic nanoparticles: Fluctuations in Coulomb blockade peak spacings

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