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We propose a mechanism to explain the fluctuations of the ground state energyin quantum dots in the Coulomb blockade regime. Employing the random matrixtheory we show that shape deformations may change the adjacent peak spacingdistribution from Wigner-Dyson to nearly Gaussian even in the absence of strongcharging energy fluctuations. We find that this distribution is solelydetermined by the average number of anti-crossings between consecutiveconductance peaks and the presence or absence of a magnetic field. Ourmechanism is tested in a dynamical model whose underlying classical dynamics ischaotic. Our results are in good agreement with recent experiments and apply toquantum dots with spin resolved or spin degenerate states.

Coulomb Blockade Peak Spacing Fluctuations in Deformable Quantum Dots: A Further Test of Random Matrix Theory