Phase diagram of the one dimensional anisotropic Kondo-necklace model
arXiv:0712.3914 · doi:10.1103/PhysRevB.77.024420
Abstract
The one dimensional anisotropic Kondo-necklace model has been studied by several methods. It is shown that a mean field approach fails to gain the correct phase diagram for the Ising type anisotropy. We then applied the spin wave theory which is justified for the anisotropic case. We have derived the phase diagram between the antiferromagnetic long range order and the Kondo singlet phases. We have found that the exchange interaction (J) between the itinerant spins and local ones enhances the quantum fluctuations around the classical long range antiferromagnetic order and finally destroy the ordered phase at the critical value, J_c. Moreover, our results show that the onset of anisotropy in the XY term of the itinerant interactions develops the antiferromagnetic order for J<J_c. This is in agreement with the qualitative feature which we expect from the symmetry of the anisotropic XY interaction. We have justified our results by the numerical Lanczos method where the structure factor at the antiferromagnetic wave vector diverges as the size of system goes to infinity.
arXiv comment9 pages and 9 eps figures
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Cited by in corpus (4)
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- Thermodynamic quantum crtical behavior in the anisotropic Kondo necklace model
- Study of the 1D anisotropic Kondo necklace model at criticality via an entanglement entropy estimator
- Quantum phase transitions in the Kondo-necklace model: Perturbative continuous unitary transformation approach