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

L. Y. Gong (), P. Q. Tong () and Z. C. Zhou ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2010, vol. 77, issue 3, 413-417

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 . Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2010

Date: 2010
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DOI: 10.1140/epjb/e2010-00283-2

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