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Semiclassical theory of Coulomb blockade peak heights in chaotic quantum dots

Publication ,  Journal Article
Narimanov, EE; Baranger, HU; Cerruti, NR; Tomsovic, S
Published in: Physical Review B - Condensed Matter and Materials Physics
December 15, 2001

We develop a semiclassical theory of Coulomb blockade peak heights in chaotic quantum dots. Using Berry's conjecture, we calculate peak height distributions and correlation functions. We demonstrate that corrections to the corresponding results of the standard statistical theory are nonuniversal, and can be expressed in terms of the classical periodic orbits of the dot that are well coupled to the leads. The main effect is an oscillatory dependence of the peak heights on any parameter which is varied; it is substantial for both symmetric and asymmetric lead placement. Surprisingly, these dynamical effects do not influence the full distribution of peak heights, but are clearly seen in the correlation function or power spectrum. For nonzero temperature, the correlation function obtained theoretically is consistent with that measured experimentally.

Duke Scholars

Published In

Physical Review B - Condensed Matter and Materials Physics

DOI

ISSN

0163-1829

Publication Date

December 15, 2001

Volume

64

Issue

23

Start / End Page

2353291 / 23532913
 

Citation

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MLA
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Narimanov, E. E., Baranger, H. U., Cerruti, N. R., & Tomsovic, S. (2001). Semiclassical theory of Coulomb blockade peak heights in chaotic quantum dots. Physical Review B - Condensed Matter and Materials Physics, 64(23), 2353291–23532913. https://doi.org/10.1103/PhysRevB.64.235329
Narimanov, E. E., H. U. Baranger, N. R. Cerruti, and S. Tomsovic. “Semiclassical theory of Coulomb blockade peak heights in chaotic quantum dots.” Physical Review B - Condensed Matter and Materials Physics 64, no. 23 (December 15, 2001): 2353291–913. https://doi.org/10.1103/PhysRevB.64.235329.
Narimanov EE, Baranger HU, Cerruti NR, Tomsovic S. Semiclassical theory of Coulomb blockade peak heights in chaotic quantum dots. Physical Review B - Condensed Matter and Materials Physics. 2001 Dec 15;64(23):2353291–23532913.
Narimanov, E. E., et al. “Semiclassical theory of Coulomb blockade peak heights in chaotic quantum dots.” Physical Review B - Condensed Matter and Materials Physics, vol. 64, no. 23, Dec. 2001, pp. 2353291–23532913. Scopus, doi:10.1103/PhysRevB.64.235329.
Narimanov EE, Baranger HU, Cerruti NR, Tomsovic S. Semiclassical theory of Coulomb blockade peak heights in chaotic quantum dots. Physical Review B - Condensed Matter and Materials Physics. 2001 Dec 15;64(23):2353291–23532913.

Published In

Physical Review B - Condensed Matter and Materials Physics

DOI

ISSN

0163-1829

Publication Date

December 15, 2001

Volume

64

Issue

23

Start / End Page

2353291 / 23532913