Abstract
For a disordered system near the Anderson transition we show that the nearest-level-spacing distribution has the asymptotic behavior P(s) proportional to exp(-As-2-gamma) for s much greater than [s] = 1, which is universal and intermediate between the Gaussian asymptotics in a metal and the Poisson asymptotics in an insulator. (Here the critical exponent is in the range 0 <gamma <1, and the numerical coefficient A depends only on the dimensionality d > 2.) It is obtained by mapping the energy level distribution onto the Gibbs distribution for a classical one-dimensional gas with a pairwise interaction. The interaction, which is consistent with the universal asymptotic behavior of the two-level correlation function found previously, was found to be the power-law repulsion with the exponent -gamma.
Original language | English |
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Pages (from-to) | 39-44 |
Number of pages | 6 |
Journal | Journal of Experimental and Theoretical Physics Letters |
Volume | 59 |
Issue number | 1 |
Publication status | Published - 10 Jan 1994 |