One- plus two-body random matrix ensembles with spin: Results for pairing correlations

For EGOE(1+2)EGOE(1+2)-s ensemble for fermions, in the strong coupling region, partial densities over pairing subspaces follow Gaussian form and propagation formulas for their centroids and variances are derived. Similarly for this ensemble: (i) pair transfer strength sums, a statistic for chaos, are shown to follow a simple form; (ii) a quantity used in conductance peak spacings analysis is shown to exhibit bimodal form when pairing is stronger than the exchange interaction.