SPECTRAL CORRELATIONS IN DISORDERED ELECTRONIC SYSTEMS: CROSSOVER FROM METAL TO INSULATOR REGIME

Arkady G. Aronov; Vladimir E. Kravtsov; Igor V. Lerner

doi:10.1103/PhysRevLett.74.1174

SPECTRAL CORRELATIONS IN DISORDERED ELECTRONIC SYSTEMS: CROSSOVER FROM METAL TO INSULATOR REGIME

Condensed Matter 2016-08-31 v1

Authors: Arkady G. Aronov , Vladimir E. Kravtsov , Igor V. Lerner

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Abstract

We use the semiclassical approach combined with the scaling results for the diffusion coefficient to consider the two-level correlation function $R(\varepsilon)$ for a disordered electron system in the crossover region, characterized by the appearance of a macroscopic correlation or localization length, $\xi$ , that diverges at the metal-insulator transition. We show new critical statistics, characterized by a nontrivial asymptotic behavior of $R(\varepsilon)$ , to emerge on both sides of the transition at higher energies, and to expand to all energies larger than mean level spacing when $\xi$ exceeds the system size.

Keywords

spectral correlations metal-insulator transition level statistics localization semiclassical approach

Cite

@article{arxiv.cond-mat/9501072,
  title  = {SPECTRAL CORRELATIONS IN DISORDERED ELECTRONIC SYSTEMS: CROSSOVER FROM METAL TO INSULATOR REGIME},
  author = {Arkady G. Aronov and Vladimir E. Kravtsov and Igor V. Lerner},
  journal= {arXiv preprint arXiv:cond-mat/9501072},
  year   = {2016}
}

Comments

4 pages,1 figure, in self-ectracting uuencoded gz-compressed file to be published in Phys. Rev. Letters; REVTeX source file is available upon request

SPECTRAL CORRELATIONS IN DISORDERED ELECTRONIC SYSTEMS: CROSSOVER FROM METAL TO INSULATOR REGIME

Abstract

Keywords

Cite

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