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von Neumann entropy signatures of a transition in one-dimensional electron systems with long-range correlated disorder

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Abstract.

We study the von Neumann entropy and related quantities in one-dimensional electron systems with on-site long-range correlated potentials. The potentials are characterized by a power-law power spectrum S(k) \(\propto\) 1/k α, where α is the correlation exponent. We find that the first-order derivative of spectrum-averaged von Neumann entropy is maximal at a certain correlation exponent α m for a finite system, and has perfect finite-size scaling behaviors around α m . It indicates that the first-order derivative of the spectrum-averaged von Neumann entropy has singular behavior, and α m can be used as a signature for transition points. For the infinite system, the threshold value α c = 1.465 is obtained by extrapolating α m .

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Authors and Affiliations

  1. Center of Optofluidic Technology, College of Science, Nanjing University of Posts and Telecommunications, 210003, Nanjing, Taiwan

    L. Y. Gong

  2. Department of Physics, Tamkang University, 151 Ying-chuan, Tamsui 25137, Taipei, Taiwan

    L. Y. Gong & Z. C. Zhou

  3. Department of Physics, Nanjing Normal University, 210097, Nanjing, Taiwan

    P. Q. Tong

Authors
  1. L. Y. Gong
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  2. P. Q. Tong
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  3. Z. C. Zhou
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Correspondence to L. Y. Gong, P. Q. Tong or Z. C. Zhou.

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Gong, L., Tong, P. & Zhou, Z. von Neumann entropy signatures of a transition in one-dimensional electron systems with long-range correlated disorder. Eur. Phys. J. B 77, 413–417 (2010). https://doi.org/10.1140/epjb/e2010-00283-2

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  • DOI: https://doi.org/10.1140/epjb/e2010-00283-2

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