Constructive fractional-moment criteria for localization in random operators

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

Physica A: Statistical Mechanics and its Applications, 2000, vol. 279, issue 1, 369-377

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.

Keywords: Random operators; Localization; Constructive criteria; Mobility edge (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:279:y:2000:i:1:p:369-377

DOI: 10.1016/S0378-4371(00)00012-1

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