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
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/kα, 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 αm for a finite system, and
has perfect finite-size scaling behaviors around αm. It
indicates that the first-order derivative of the spectrum-averaged
von Neumann entropy has singular behavior, and αm can be
used as a signature for transition points. For the infinite
system, the threshold value αc = 1.465 is obtained by
extrapolating αm.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2010