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Long-Range Spatial Correlations of Eigenfunctions in Quantum Disordered Systems
- Source :
- Physical Review Letters. 80:1944-1947
- Publication Year :
- 1998
- Publisher :
- American Physical Society (APS), 1998.
-
Abstract
- This paper is devoted to the statistics of the quantum eigenfunctions in an ensemble of finite disordered systems (metallic grains). We focus on moments of inverse participation ratio. In the universal random matrix 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.<br />Comment: RevTeX, 4 pages, no figure
- Subjects :
- Physics
Condensed Matter - Mesoscale and Nanoscale Physics
Spectrum (functional analysis)
FOS: Physical sciences
General Physics and Astronomy
Inverse
Conductance
Eigenfunction
Quantum mechanics
Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
Range (statistics)
Limit (mathematics)
Focus (optics)
Quantum
Subjects
Details
- ISSN :
- 10797114 and 00319007
- Volume :
- 80
- Database :
- OpenAIRE
- Journal :
- Physical Review Letters
- Accession number :
- edsair.doi.dedup.....6e7d681185fe5678c0745bf6a4e70aca