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.
Highlights
Frustrated spin systems exhibit fascinating new phases of matter, a rich variety of unusual ground states and thermal properties as a result of zero and finite temperature phase transitions driven by quantum and thermal fluctuations, respectively [1]
A key novel observation is that quantum entanglement can play an important role in proximity to quantum phase transitions (QPTs) controlled by quantum fluctuations in the vicinity of quantum critical points
The key result of the current work is a comparative analysis of specific features in the magnetic and thermal entanglement properties of the spin-1/2 IsingHeisenberg model on a triangulated Kagome lattice
Summary
Frustrated spin systems exhibit fascinating new phases of matter, a rich variety of unusual ground states and thermal properties as a result of zero and finite temperature phase transitions driven by quantum and thermal fluctuations, respectively [1]. Entanglement is a generic feature of quantum correlations in systems, which cannot be quantified classically [6]. It provides a new perspective for understanding quantum phase transitions (QPTs) and collective many-body phenomena in condensed matter physics. The key result of the current work is a comparative analysis of specific (peak and plateau) features in the magnetic and thermal entanglement properties of the spin-1/2 IsingHeisenberg model on a triangulated Kagome lattice.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
