Non-universal corrections to the level curvature distribution beyond random matrix theory

Details Non-universal corrections to the level curvature distribution beyond random matrix theory Non-universal corrections to the level curvature distribution beyond random matrix theory

1996-09-12

arxiv.org/abs/cond-mat/9609106v1

Phys.Rev.Lett., 78 (1997) 701.

Physics

Condensed Matter

4 pages, Latex

Scientific paper

10.1103/PhysRevLett.78.701

The level curvature distribution function is studied beyond the random matrix theory for the case of T-breaking perturbations over the orthogonal ensemble. The leading correction to the shape of the level curvature distribution is calculated using the nonlinear sigma-model. The sign of the correction depends on the presence or absence of the global gauge invariance and is different for perturbations caused by the constant vector-potential and by the random magnetic field. Scaling arguments are discussed that indicate on the qualitative difference in the level statistics in the dirty metal phase for space dimensionalities $d<4$ and $d>4$.

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