Level Spacings in Random Matrix Theory and Coulomb Blockade Peaks in Quantum Dots

dc.creatorHerman, D.
dc.creatorOng, T. T.
dc.creatorUsaj, Gonzalo
dc.creatorMathur, H.
dc.creatorBaranger, H. U.
dc.date2007-07-11
dc.date2008-02-04
dc.date.accessioned2026-07-07T09:18:06Z
dc.date.available2026-07-07T09:18:06Z
dc.descriptionWe obtain analytic formulae for the spacing between conductance peaks in the Coulomb blockade regime, based on the universal Hamiltonian model of quantum dots. New 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 formulae are shown to be in good agreement with numerical evaluation.
dc.description15 pages, minor changes, published version
dc.identifierhttps://arxiv.org/abs/0707.1620
dc.identifierhttp://arxiv.org/abs/0707.1620
dc.identifierPhys. Rev. B 76, 195448 (2007)
dc.identifierdoi:10.1103/PhysRevB.76.195448
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153907
dc.subjectMesoscale and Nanoscale Physics
dc.titleLevel Spacings in Random Matrix Theory and Coulomb Blockade Peaks in Quantum Dots
dc.typetext

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