https://doi.org/10.1140/epjd/e2013-30707-4
Regular Article
Negativity and quantum phase transition in the anisotropic XXZ model
1 School of Physics & Material Science, Anhui University, Hefei 230039, P.R. China
2 School of Physics & Electronics Science, Fuyang Normal College, Fuyang 236037, P.R. China
a
e-mail: songxueke@126.com
b
e-mail: wutaofuyang@126.com
c
e-mail: yeliu@ahu.edu.cn
Received: 24 November 2012
Received in final form: 23 January 2013
Published online: 7 May 2013
In this paper, the dynamical behavior of the renormalization of negativity in the quantum phase transition has been studied by exploiting the quantum renormalization group method. The results show that the negativity develops two saturated values after several iterations of the renormalization. These values are associated with two different phases, that is, spin-liquid and Néel phases. Furthermore, we not only investigate the performance of the first derivative of the negativity, but explicitly discuss the nonanalytic and scaling behavior which comes from the divergence of the first derivative of negativity as the system becomes large.
Key words: Quantum Information
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag 2013