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

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

中国物理B ›› 2011, Vol. 20 ›› Issue (8): 87102-087102.doi: 10.1088/1674-1056/20/8/087102

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

巩龙龑¹, 童培庆², 周子聪³

(1)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; (2)Department of Physics, Nanjing Normal University, Nanjing 210097, China; (3)Department of Physics, Tamkang University, 151 Ying-Chuan, Tamsui 25137, Taipei, Taiwan, China

收稿日期:2011-02-20 修回日期:2011-03-19 出版日期:2011-08-15 发布日期:2011-08-15
基金资助:
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).

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

Gong Long-Yan(巩龙龑)^a)c)^†, Tong Pei-Qing(童培庆)^b), and Zhou Zi-Cong(周子聪)^c)

^a College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210003, 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

Received:2011-02-20 Revised:2011-03-19 Online:2011-08-15 Published:2011-08-15
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: electronic properties, long-range correlation, binary potentials, localization

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.

Key words: electronic properties, long-range correlation, binary potentials, localization

中图分类号: (Theories and models; localized states)

71.23.An

72.15.Rn (Localization effects (Anderson or weak localization)) 71.30.+h (Metal-insulator transitions and other electronic transitions)

巩龙龑, 童培庆, 周子聪. Electronic properties of one-dimensional systems with long-range correlated binary potentials[J]. 中国物理B, 2011, 20(8): 87102-087102.

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[J]. Chin. Phys. B, 2011, 20(8): 87102-087102.

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

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

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