Energy level statistics in weakly disordered systems: from quantum to diffusive regime

Details Energy level statistics in weakly disordered systems: from quantum to diffusive regime Energy level statistics in weakly disordered systems: from quantum to diffusive regime

2002-10-21

arxiv.org/abs/cond-mat/0210444v2

J. Phys. A: Math. Gen. 36 (2003) 999-1011

Physics

Condensed Matter

Disordered Systems and Neural Networks

12 pages, no figure, REVTeX 3.1 with pLaTeX 2e; v2: minor grammatical changes

Scientific paper

10.1088/0305-4470/36/4/310

We calculate two-point energy level correlation function in weakly disorderd metallic grain with taking account of localization corrections to the universal random matrix result. Using supersymmetric nonlinear sigma model and exactly integrating out spatially homogeneous modes, we derive the expression valid for arbitrary energy differences from quantum to diffusive regime for the system with broken time reversal symmetry. Our result coincides with the one obtained by Andreev and Altshuler [Phys. Rev. Lett. 72, 902 (1995)] where homogeneous modes are perturbatively treated.

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