Electronic properties of one-dimensional systems with long-range correlated binary potentials |
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| Authors: | Gong Long-Yan Tong Pei-Qing Zhou Zi-Cong |
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| Affiliation: | College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210003, China; Department of Physics, Nanjing Normal University, Nanjing 210097, China; Department of Physics, Tamkang University, 151 Ying-Chuan, Tamsui 25137, Taipei, Taiwan, China |
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| 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. |
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| Keywords: | electronic properties long-range correlation binary potentials localization |
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