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We show that the parametric correlations of the conductance peak amplitudesof a chaotic or weakly disordered quantum dot in the Coulomb blockade regimebecome universal upon an appropriate scaling of the parameter. We compute theuniversal forms of this correlator for both cases of conserved and broken timereversal symmetry. For a symmetric dot the correlator is independent of thedetails in each lead such as the number of channels and their correlation. Wederive a new scaling, which we call the rotation scaling, that can be computeddirectly from the dot's eigenfunction rotation rate or alternatively from theconductance peak heights, and therefore does not require knowledge of thespectrum of the dot. The relation of the rotation scaling to the level velocityscaling is discussed. The exact analytic form of the conductance peakcorrelator is derived at short distances. We also calculate the universaldistributions of the average level width velocity for various values of thescaled parameter. The universality is illustrated in an Anderson model of adisordered dot.Comment: 35 pages, RevTex, 6 Postscript figure

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