Electronic properties of one-dimensional systems with long-range correlated binary potentials

doi:10.1088/1674-1056/20/8/087102

Abstract We study numerically the electronic properties of one-dimensional systems with long-range correlated binary potentials. The potentials are mapped from binary sequences with a power-law power spectrum over the entire frequency range, which is characterized by correlation exponent β. We find the localization length ξ increases with β. At system sizes N→∞, there are no extended states. However, there exists a transition at a threshold β_c. When β>β_c, we obtain ξ>0. On the other hand, at finite system sizes, ξ ≥ N may happen at certain β, which makes the system “metallic”, and the upper-bound system size N^*(β) is given.

Keywords: electronic properties long-range correlation binary potentials localization

Received: 20 February 2011
Revised: 19 March 2011
Accepted manuscript online:

PACS:	71.23.An	(Theories and models; localized states)
	72.15.Rn	(Localization effects (Anderson or weak localization))
	71.30.+h	(Metal-insulator transitions and other electronic transitions)

Fund: Project supported by the National Natural Science Foundation of China (Grants Nos. 10904074 and 10974097), the National Key Basic Research Special Foundation of China (Grant No. 2009CB929501), and the National Science Council (Grant No. 97-2112- M-032-003-MY3).

Cite this article:

Gong Long-Yan(巩龙龑), Tong Pei-Qing(童培庆), and Zhou Zi-Cong(周子聪) Electronic properties of one-dimensional systems with long-range correlated binary potentials 2011 Chin. Phys. B 20 087102

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