Eigenfunction entropy and spectral compressibility for critical random matrix ensembles.

Based on numerical and perturbation series arguments we conjecture that for certain critical random matrix models the information dimension of eigenfunctions D(1) and the spectral compressibility χ are related by the simple equation χ+D(1)/d=1, where d is system dimensionality.

• Publication year

  2010

• Venue

  Physical Review Letters

• Publication date

  2010-11-16

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevLett.106.044101arXiv 1011.3686PMID 21405328
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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