Quantum phase transitions and entanglement in J(1)-J(2) model


Eryiǧit R., Eryiǧit R., Gündüç Y.

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, vol.15, no.8, pp.1095-1103, 2004 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 15 Issue: 8
  • Publication Date: 2004
  • Doi Number: 10.1142/s0129183104006558
  • Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS C
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1095-1103
  • Keywords: quantum computing, entanglement, concurrence, J(1)-J(2) model, NEAREST-NEIGHBOR INTERACTIONS, ANTIFERROMAGNETIC HEISENBERG CHAIN, GROUND-STATE PROPERTIES, COMPETING INTERACTIONS, THERMAL ENTANGLEMENT, LINEAR CHAIN, XXZ CHAIN, IMPURITY
  • Ankara University Affiliated: No

Abstract

We study ground state pairwise entanglement within one-dimensional spin-1/2 anti-ferromagnetic J(1)-J(2) model with competing interactions. Contrary to some claims we found that frustration does not increase entanglement. Concurrence of nearest and next nearest neighbors are found to show abrupt change at phase transition points. We also show that the concurrence can be used to classify the phase diagram of the model in anisotropy-frustration plane.