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

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

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Bibliographic Details
Main Authors Mae, Naohiro, Iida, Shinji
Format Journal Article
LanguageEnglish
Published 21.10.2002
Subjects
Physics - Disordered Systems and Neural Networks
Physics - Mesoscale and Nanoscale Physics
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Summary:J. Phys. A: Math. Gen. 36 (2003) 999-1011 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.
DOI:10.48550/arxiv.cond-mat/0210444