Eur. Phys. J. D (2013) 67: 121
https://doi.org/10.1140/epjd/e2013-40145-y

Regular Article

Geometric discord characterize localization transition in the one-dimensional systems

¹ Institute of Signal Processing Transmission, Nanjing University of Posts and Telecommunication, Nanjing 210003, P.R. China
² Department of Physics, Hubei Normal University, Huangshi 435002, P.R. China
³ Laboratory of Broadband Wireless Communication and Sensor Network Technology, Ministry of Education, P.R. China

^a e-mail: wwcheng@njupt.edu.cn

Received: 14 March 2013
Received in final form: 25 April 2013
Published online: 25 June 2013

Abstract

We study the localization transition in three typical one-dimensional systems by means of geometric discord. For the slowly varying potential model, the geometric discord exhibits a sharp transition between the extended states and the localized ones and it is independent on the system size L in the extended states. In the Aubry-André model, the geometric discord drop fast and show an inflexion around the boundary between the extended states and the localized ones. For the exponential hopping model, although there is an energy dependent mobility edges, the geometric discord characterize the boundary between the localized states and the extended ones exactly, which is similar with the traditional method. All these features show that the geometric discord can be good quantity to detect localization transition in these one-dimensional systems.