Long-Range Spatial Correlations of Eigenfunctions in Quantum Disordered Systems

1997/03/07 by V. N. Prigodin, V. Prigodin, B. L. Altshuler · 5 citations
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Theoretical and Computational Physics #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.80.1944

RevTeX, 4 pages, no figure

arxiv created 1997/03/07 · openalex publication_date 1998/03/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is devoted to the statistics of the quantum eigenfunctions in an ensemble of metallic grains. We focus on moments of inverse participation ratio. In the universal limit that corresponds to the infinite conductance of the grains, these moments are self-averaging quantities. At large but finite conductance the moments do fluctuate due to the long-range correlations in the eigenfunctions. We evaluate the distributions of fluctuations at given conductance and geometry of the grains and express them through the spectrum of the diffusion operator in the grain.

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