Asymptotics of Universal Probability of Neighboring Level Spacings at the Anderson Transition

Details Asymptotics of Universal Probability of Neighboring Level Spacings at the Anderson Transition Asymptotics of Universal Probability of Neighboring Level Spacings at the Anderson Transition

1997-06-25

arxiv.org/abs/cond-mat/9706255v1

Phys. Rev. Lett. 79 (1997) 717

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, RevTex, 4 figures, to appear in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.79.717

The nearest-neighbor level spacing distribution is numerically investigated by directly diagonalizing disordered Anderson Hamiltonians for systems of sizes up to 100 x 100 x 100 lattice sites. The scaling behavior of the level statistics is examined for large spacings near the delocalization-localization transition and the correlation length exponent is found. By using high-precision calculations we conjecture a new interpolation of the critical cumulative probability, which has size-independent asymptotic form \ln I(s) \propto -s^{\alpha} with \alpha = 1.0 \pm 0.1.

Affiliated with

Also associated with

No associations

Rating

Asymptotics of Universal Probability of Neighboring Level Spacings at the Anderson Transition does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Asymptotics of Universal Probability of Neighboring Level Spacings at the Anderson Transition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotics of Universal Probability of Neighboring Level Spacings at the Anderson Transition will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-70089