Constructive fractional-moment criteria for localization in random operators

Michael Aizenman, Jeffrey H. Schenker, Roland M. Friedrich, Dirk Hundertmark

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


We present a family of finite-volume criteria which cover the regime of exponential decay for the fractional moments of Green functions of operators with random potentials. Such decay is a technically convenient characterization of localization for it is known to imply spectral localization, absence of level repulsion, dynamical localization and a related condition which plays a significant role in the quantization of the Hall conductance in two-dimensional Fermi gases. The constructive criteria also preclude fast power-law decay of the Green functions at mobility edges.

Original languageEnglish (US)
Pages (from-to)369-377
Number of pages9
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1
StatePublished - May 1 2000

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability


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