Abstract
We study level-number variance in a two-dimensional random matrix model characterized by a power-law decay of the matrix elements. The amplitude of the decay is controlled by the parameter . We find analytically that at small values of the level number variance behaves linearly, with the compressibility between 0 and 1, which is typical for critical systems. For large values of , we derive that , as one would normally expect in the metallic phase. Using numerical simulations we determine the critical value of at which the transition between these two phases occurs.
- Received 15 November 2011
DOI:https://doi.org/10.1103/PhysRevE.85.021127
©2012 American Physical Society