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Localization-delocalization transition in one-dimensional electron systems with long-range correlated disorder | | H. Shima
; T. Nomura
; T. Nakayama
; | | Date: |
1 Jul 2004 | | Subject: | Disordered Systems and Neural Networks; Mesoscopic Systems and Quantum Hall Effect | cond-mat.dis-nn cond-mat.mes-hall | | Abstract: | We investigate localization properties of electron eigenstates in one-dimensional (1d) systems with long-range correlated diagonal disorder. Numerical studies on the localization length $xi$ of eigenstates demonstrate the existence of the localization-delocalization transition in 1d systems and elucidate non-trivial behavior of $xi$ as a function of the disorder strength. The critical exponent $
u$ for localization length is extracted for various values of parameters characterizing the disorder, revealing that every $
u$ disobeys the Harris criterion $
u > 2/d$. | | Source: | arXiv, cond-mat/0407019 | | Services: | Forum | Review | PDF | Favorites | |
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