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 language||English (US)|
|Number of pages||9|
|Journal||Physica A: Statistical Mechanics and its Applications|
|State||Published - May 1 2000|
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Condensed Matter Physics