Universal Features of Interacting Chaotic Quantum Dots. Application to Statistics of Coulomb Blockade Peak Spacings

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We present a complete classification of the electron-electron interaction in chaotic quantum dots based on expansion in inverse powers of 1/M, the number of the electron states in the Thouless window, M ≃ kF R. This classification is quite universal and extends and enlarges the universal non interacting RMT statistical ensembles. We show that existing Coulomb blockade peak spacing data for B=0 and B≠ 0 is described quite accurately by the interacting GSE and by its extension to B≠ 0. The bimodal structure existing in the interacting GUE case is completely washed out by the combined effect of the spin orbit, pairing and higher order residual interactions.