Eur. Phys. J. D 51, 393-400 (2009)
https://doi.org/10.1140/epjd/e2009-00025-9

Pairwise entanglement and geometric phase in high dimensional free-Fermion lattice systems

Department of Physics, Anyang Normal University, 455000, Anyang, P.R. China

Corresponding author: ^a cuiht@aynu.edu.cn

Received: 28 September 2008
Revised: 1 December 2008
Published online: 6 February 2009

Abstract

The pairwise entanglement, measured by concurrence and geometric phase in high dimensional free-Fermion lattice systems have been studied in this paper. When the system stays at the ground state, their derivatives with the external parameter show the singularity closed to the phase transition points, and can be used to detect the phase transition in this model. Furthermore our studies show for the free-Fermion model that both concurrence and geometric phase show the intimate connection with the correlation functions. The possible connection between concurrence and geometric phase has been also discussed.