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International Journal of Modern Physics B

NEGATIVITY AND GEOMETRIC QUANTUM DISCORD AS INDICATORS OF QUANTUM PHASE TRANSITION IN THE XY MODEL WITH DZYALOSHINSKII–MORIYA INTERACTION

Shuai Xu, XUE KE SONG, Liu Ye

Published May 20, 2013• 7 citations
Publisher

Abstract

In this paper, we use the negativity and geometric quantum discord (GQD) to investigate the quantum phase transition (QPT) in the anisotropic spin-1/2 XY model with staggered Dzyaloshinskii–Moriya (DM) interaction using the quantum renormalization-group method, and the results show that the negativity and GQD can both obtain the quantum critical points associated with QPTs after several iterations of the renormalization. In addition to this, we discuss how the strength of the DM interaction and anisotropic parameter make the effect on the negativity and GQD for different RG steps. At last, we give out the relationship between negativity and GQD, and verify that with anisotropy parameter and the strength of DM interaction increased, the squared negativity and the normalization of GQD tend to equal in this model.

DOI
10.1142/s0217979213500744

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