Universal correlations of Coulomb-blockade conductance peaks and the rotation scaling in quantum dots

Journal Article · Mon Jul 01 04:00:00 EDT 1996 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.54.2696· OSTI ID:286377

Alhassid, Y; Attias, H ^[1]

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

We show that the parametric correlations of the conductance peak amplitudes of a chaotic or weakly disordered quantum dot in the Coulomb-blockade regime become universal upon an appropriate scaling of the parameter. We compute the universal forms of this correlator for both cases of conserved and broken time-reversal symmetry. For a symmetric dot the correlator is independent of the details in each lead, such as the number of channels and their correlation. We derive a scaling, which we call the rotation scaling, that can be computed directly from the dot{close_quote}s eigenfunction rotation rate or alternatively from the conductance peak heights and therefore does not require knowledge of the spectrum of the dot. The relation of the rotation scaling to the level velocity scaling is discussed. The exact analytic form of the conductance peak correlator is derived at short distances. We also calculate the universal distributions of the average level width velocity for various values of the scaled parameter. The universality is illustrated in an Anderson model of a disordered dot. {copyright} {ital 1996 The American Physical Society.}

• Research Organization: Yale University
• DOE Contract Number: FG02-91ER40608
• OSTI ID: 286377
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 4 Vol. 54; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ANDERSON MODEL
CORRELATION FUNCTIONS
COULOMB FIELD
DISORDERED SYSTEMS
ELECTRIC CONDUCTIVITY
ELECTRON GAS
NANOSTRUCTURES
QUANTUM DOTS
SCALING
SYMMETRY BREAKING