Thermal entanglement and critical behavior of magnetic properties on a triangulated kagomé lattice

N. Ananikian, L. Ananikyan, L. Chakhmakhchyan, A. Kocharian

Research output: Contribution to journalArticle (Academic Journal)peer-review

Abstract

The equilibrium magnetic and entanglement properties in a spin-1/2 Ising-Heisenberg model on a triangulated Kagomé lattice are analyzed by means of the effective field for the Gibbs-Bogoliubov inequality. The calculation is reduced to decoupled individual (clusters) trimers due to the separable character of the Ising-type exchange interactions between the Heisenberg trimers. The concurrence in terms of the three qubit isotropic Heisenberg model in the effective Ising field in the absence of a magnetic field is non-zero. The magnetic and entanglement properties exhibit common (plateau, peak) features driven by a magnetic field and (antiferromagnetic) exchange interaction. The (quantum) entangled and non-entangled phases can be exploited as a useful tool for signalling the quantum phase transitions and crossovers at finite temperatures. The critical temperature of order-disorder coincides with the threshold temperature of thermal entanglement.

Original languageEnglish
Pages (from-to)7-12
Number of pages6
JournalActa Polytechnica
Volume51
Issue number1
Publication statusPublished - 1 Dec 2011

Keywords

  • Concurrence
  • Entanglement
  • Gibbs-bogoliubov inequality
  • Ising-heisenberg model
  • Lattice
  • Triangulated kagomé

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