Mesoscopic effects in quantum dots, nanoparticles and nuclei

Journal Article · Fri Jul 08 04:00:00 EDT 2005 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.1996890· OSTI ID:20722992

Alhassid, Y ^[1]

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1. Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, CT 06520 (United States)

We discuss mesoscopic effects in quantum dots, nanoparticles and nuclei. In quantum dots, we focus on the statistical regime of dots whose single-electron dynamics are chaotic. Random matrix theory methods, developed to explain the statistics of neutron resonances in compound nuclei, are useful in describing the mesoscopic fluctuations of the conductance in such dots. However, correlation effects beyond the charging energy are important in almost-isolated dots. In particular, exchange and residual interactions are necessary to obtain a quantitative description of the mesoscopic fluctuations. Pairing correlations are important in metallic nanoparticles and nuclei. Nanoparticles smaller than {approx} 3 nm and nuclei are close to the fluctuation-dominated regime in which the Bardeen-Cooper-Schrieffer theory is not valid. Despite the large fluctuations, we find signatures of pairing correlations in the heat capacity of nuclei. These signatures that depend on the particle-number parity of protons and neutrons.

• OSTI ID: 20722992
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 777; ISSN 0094-243X; ISSN APCPCS
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BCS THEORY
CHAOS THEORY
CORRELATIONS
ELECTRONS
EXCHANGE INTERACTIONS
FLUCTUATIONS
NEUTRONS
NUCLEI
PARITY
PROTONS
QUANTUM DOTS
RANDOMNESS
RESIDUAL INTERACTIONS
RESONANCE
SPECIFIC HEAT