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Chin. Phys. B, 2011, Vol. 20(8): 087102    DOI: 10.1088/1674-1056/20/8/087102
CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES Prev   Next  

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

Gong Long-Yana, Tong Pei-Qingb, Zhou Zi-Congc
a College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210003, China; Department of Physics, Tamkang University, 151 Ying-Chuan, Tamsui 25137, Taipei, Taiwan, China; b Department of Physics, Nanjing Normal University, Nanjing 210097, China; c Department of Physics, Tamkang University, 151 Ying-Chuan, Tamsui 25137, Taipei, Taiwan, China
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 βc. When β>βc, 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:  localization      electronic properties      long-range correlation      binary potentials  
Received:  20 February 2011      Revised:  19 March 2011      Published:  15 August 2011
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, Tong Pei-Qing, Zhou Zi-Cong Electronic properties of one-dimensional systems with long-range correlated binary potentials 2011 Chin. Phys. B 20 087102

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