Study of the 1D anisotropic Kondo necklace model at criticality via an entanglement entropy estimator

We use an estimator of quantum criticality based on the entanglement entropy to discuss the ground state properties of the 1D anisotropic Kondo necklace model. We found that the T=0 phase diagram of the model is described by a critical line separating an antiferromagnetic phase from a Kondo singlet...

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Bibliographic Details
Published in:Physics letters. A 2013-11, Vol.377 (37), p.2288-2292
Main Author: Saguia, A.
Format: Article
Language:English
Subjects:
Anisotropy
Entanglement
Entanglement entropy
Entropy
Estimators
Ground state
Mathematical models
Phase diagrams
Quantum critical phenomena
Quantum spin systems
Solid state physics
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Summary:We use an estimator of quantum criticality based on the entanglement entropy to discuss the ground state properties of the 1D anisotropic Kondo necklace model. We found that the T=0 phase diagram of the model is described by a critical line separating an antiferromagnetic phase from a Kondo singlet state. Moreover we calculate the conformal anomaly on the critical line and obtain that c tends to 0.5 as the thermodynamic limit is reached. Hence we conclude that these transitions belong to Ising universality class being, therefore, second order transitions instead of infinite order as claimed before. •We study the phase diagram of the 1D anisotropic Kondo necklace model at T=0.•A numerical analysis of the entanglement entropy behavior is used to obtain the critical points and the central charge.•A critical line separates an antiferromagnetic state from a non-magnetic Kondo singlet phase.•We obtained c=0.5 along the line and concluded that these are second order phase transitions.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2013.06.043