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Level spacings in random matrix theory and Coulomb blockade peaks in quantum dots

Publication ,  Journal Article
Herman, D; Ong, TT; Usaj, G; Mathur, H; Baranger, HU
Published in: Physical Review B - Condensed Matter and Materials Physics
November 30, 2007

We obtain analytic formulas for the spacing between conductance peaks in the Coulomb blockade regime based on the universal Hamiltonian model of quantum dots. Random matrix theory results are developed in order to treat correlations between two and three consecutive spacings in the energy level spectrum. These are generalizations of the Wigner surmise for the probability distribution of single level spacing. The analytic formulas are shown to be in good agreement with numerical evaluation. © 2007 The American Physical Society.

Duke Scholars

Published In

Physical Review B - Condensed Matter and Materials Physics

DOI

EISSN

1550-235X

ISSN

1098-0121

Publication Date

November 30, 2007

Volume

76

Issue

19

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 03 Chemical Sciences
  • 02 Physical Sciences
 

Citation

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Herman, D., Ong, T. T., Usaj, G., Mathur, H., & Baranger, H. U. (2007). Level spacings in random matrix theory and Coulomb blockade peaks in quantum dots. Physical Review B - Condensed Matter and Materials Physics, 76(19). https://doi.org/10.1103/PhysRevB.76.195448
Herman, D., T. T. Ong, G. Usaj, H. Mathur, and H. U. Baranger. “Level spacings in random matrix theory and Coulomb blockade peaks in quantum dots.” Physical Review B - Condensed Matter and Materials Physics 76, no. 19 (November 30, 2007). https://doi.org/10.1103/PhysRevB.76.195448.
Herman D, Ong TT, Usaj G, Mathur H, Baranger HU. Level spacings in random matrix theory and Coulomb blockade peaks in quantum dots. Physical Review B - Condensed Matter and Materials Physics. 2007 Nov 30;76(19).
Herman, D., et al. “Level spacings in random matrix theory and Coulomb blockade peaks in quantum dots.” Physical Review B - Condensed Matter and Materials Physics, vol. 76, no. 19, Nov. 2007. Scopus, doi:10.1103/PhysRevB.76.195448.
Herman D, Ong TT, Usaj G, Mathur H, Baranger HU. Level spacings in random matrix theory and Coulomb blockade peaks in quantum dots. Physical Review B - Condensed Matter and Materials Physics. 2007 Nov 30;76(19).

Published In

Physical Review B - Condensed Matter and Materials Physics

DOI

EISSN

1550-235X

ISSN

1098-0121

Publication Date

November 30, 2007

Volume

76

Issue

19

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 03 Chemical Sciences
  • 02 Physical Sciences