Critical spectral statistics in two-dimensional interacting disordered systems

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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4 two-column pages, 3 eps figures, RevTeX, new results added

Scientific paper

10.1103/PhysRevLett.83.140

The effect of Coulomb and short-range interactions on the spectral properties of two-dimensional disordered systems with two spinless fermions is investigated by numerical scaling techniques. The size independent universality of the critical nearest level-spacing distribution $P(s)$ allows one to find a delocalization transition at a critical disorder $W_{\rm c}$ for any non-zero value of the interaction strength. At the critical point the spacings distribution has a small-$s$ behavior $P_c(s)\propto s$, and a Poisson-like decay at large spacings.

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