Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1998-08-13
Phys. Rev. Lett. 83, 140 (1999)
Physics
Condensed Matter
Disordered Systems and Neural Networks
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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