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

2002/10/31 by Naohiro Mae, Shinji Iida
Physics and Astronomy · #Nonlinear Photonic Systems #Quantum Mechanics and Non-Hermitian Physics #Quantum many-body systems #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf · doi:10.1088/0305-4470/36/4/310

published as J. Phys. A: Math. Gen. 36 (2003) 999-1011 · 12 pages, no figure, REVTeX 3.1 with pLaTeX 2e; v2: minor grammatical changes

openalex publication_date 2003/01/15 · arxiv created 2003/01/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We calculate two-point energy level correlation function in weakly disordered metallic grain by taking account of localization corrections to the universal random matrix result. Using supersymmetric nonlinear σ model and exactly integrating 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 that obtained by Andreev and Altshuler (1995 Phys. Rev. Lett . 72 902) where homogeneous modes are perturbatively treated.

Citations