scholarly journals Triplet and singlet excitations in the valence bond crystal phase of the kagome lattice Heisenberg model

2008 ◽  
Vol 77 (14) ◽  
Author(s):  
Rajiv R. P. Singh ◽  
David A. Huse
2010 ◽  
Vol 6 (11) ◽  
pp. 865-869 ◽  
Author(s):  
K. Matan ◽  
T. Ono ◽  
Y. Fukumoto ◽  
T. J. Sato ◽  
J. Yamaura ◽  
...  

10.14311/1344 ◽  
2011 ◽  
Vol 51 (2) ◽  
Author(s):  
N. Ananikian ◽  
L. Ananikyan ◽  
L. Chakhmakhchyan ◽  
A. Kocharian

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.


2015 ◽  
Vol 92 (20) ◽  
Author(s):  
Kyusung Hwang ◽  
Yejin Huh ◽  
Yong Baek Kim

2014 ◽  
Vol 90 (6) ◽  
Author(s):  
Mathieu Taillefumier ◽  
Julien Robert ◽  
Christopher L. Henley ◽  
Roderich Moessner ◽  
Benjamin Canals

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