Eur. Phys. J. B 77, 413-417 (2010)
https://doi.org/10.1140/epjb/e2010-00283-2

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

¹ Center of Optofluidic Technology, College of Science, Nanjing University of Posts and Telecommunications, 210003, Nanjing, Taiwan
² Department of Physics, Tamkang University, 151 Ying-chuan, Tamsui 25137, Taipei, Taiwan
³ Department of Physics, Nanjing Normal University, 210097, Nanjing, Taiwan

Corresponding authors: ^a lygong@njupt.edu.cn - ^b pqtong@njnu.edu.cn - ^c zzhou@mail.tku.edu.tw

Received: 27 July 2010
Revised: 20 August 2010
Published online: 1 October 2010

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) 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.