- 00-34 M. Aizenman, J.H. Schenker, R.M. Friedrich, and D.Hundertmark.
- Constructive Fractional-Moment Criteria for
Localization in Random Operators
(107K, LaTex, using Elsevier "elsart" files (attached).)
Jan 21, 00
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Abstract. 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.