## 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 language | English |
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Pages (from-to) | 7-12 |

Number of pages | 6 |

Journal | Acta Polytechnica |

Volume | 51 |

Issue number | 1 |

Publication status | Published - 1 Dec 2011 |

## Keywords

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