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From closed to open one-dimensional Anderson model: Transport versus spectral statistics
Physical Review E
Using the phenomenological expression for the level spacing distribution with only one parameter, 0 ≤β≤∞, covering all regimes of chaos and complexity in a quantum system, we show that transport properties of the one-dimensional Anderson model of finite size can be expressed in terms of this parameter. Specifically, we demonstrate a strictly linear relation between β and the normalized localization length for the whole transition from strongly localized to extended states. This result allowsdoi:10.1103/physreve.86.011142 pmid:23005403 fatcat:ifbrjknnovdopmukvzp7hfjznm