Critical spectral statistics in two-dimensional interacting disordered systems
E. Cuevas
Abstract
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 c for any non-zero value of the interaction strength. At the critical point the spacings distribution has a small-s behavior Pc(s) s, and a Poisson-like decay at large spacings.
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