Thermal Entanglement and Critical Behavior of Magnetic Properties on a Triangulated Kagomé Lattice

Acta Polytechnica

A. Kocharian¹  L. Chakhmakhchyan¹  N. Ananikian¹  L. Ananikyan¹ 

关键词: Triangulated Kagomé lattice;    Ising-Heisenberg model;    Gibbs-Bogoliubov inequality;    entanglement;    concurrence;   

DOI  :  

来源: Czech Technical University in Prague, Faculty of M

【 摘 要 】

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.

【 授权许可】

Unknown