Level Statistics and Time Evolution at the Mobility Edge

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概要

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• We present results for the statistics of the eigenvalues in random matrix ensembles characterized by an Anderson delocalization-localization transition. The nearest-level-spacing distribution function P(S) and the number variance <(δN(E))^2> are shown at the mobility edge where we obtain universal curves interpolating between Wigner-Dyson and Poisson statistics valid for delocalized and for localized eigenfunctions, respectively. We also discuss the connection of level statistics with dynamics by considering the time evolution of a quantum wavepacket in a quasirandom matrix model. The critical quantum dynamics is characterized by anomalous diffusion, described via continuous sets of multifractal exponents.

• 理論物理学刊行会の論文
• 1994-08-12

著者

• Evangelou S.

  Department Of Physics University Of Ioannina : Research Center Of Crete Forth

• EVANGELOU S.

  Department of Physics, University of Ioannina : Research Center of Crete, FORTH

• Evangelou S.N.

  Department of Physics, University of Ioannina

関連論文

• Level Statistics and Time Evolution at the Mobility Edge

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