Kondo lattice model in magnetic field

Zerec, Ivica; Schmidt, B.; Thalmeier, Peter

doi:10.1016/j.jmmm.2006.10.095

Cited by 2 publications

(5 citation statements)

References 5 publications

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“…3,5 one obtains B c /t = 1.86 (B c /J=0.62) which is close to the average 1.63 of the above B ± c /t values. This value for the critical field was also confirmed by exact diagonalisation (ED) results for the KL model on small clusters [25] where the breaking up of on-site singlet formation was observed above the value B c /J ≃ 0.5. We conclude that KL and KN models also seem to exhibit similar field induced quantum critical behaviour.…”

Section: Discussionsupporting

confidence: 70%

Section: Discussionmentioning

confidence: 92%

“…3 are obtained from a simple analytical formula within the bond-operator mean field approach [1]. Further support for this scenario comes from exact diagonalisation (ED) results for the KL model on small clusters [25] using open boundary conditions. The total average local moment µ 2 loc = (τ i + S i ) 2 calculated as function of J/t shows a reduction to half of the free moment size due to Kondo singlet formation in the lattice for the value t c /J = 0.67.…”

Section: Discussionmentioning

confidence: 92%

“…The fermionic 2D KL model in an external field with equal g-factors corresponding to (g s ,g τ ) = (2,2) was studied in Ref. 16 [25] where the breaking up of on-site singlet formation was observed above the value B c /J ≃ 0.5. We conclude that KL and KN models also seem to exhibit similar field induced quantum critical behaviour.…”

Section: Discussionmentioning

confidence: 99%

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Field-induced quantum phase transition in the anisotropic Kondo necklace model

Thalmeier

Langari

2007

Phys. Rev. B

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The anisotropic Kondo necklace model in 2D and 3D is treated as a genuine model for magnetic to Kondo singlet quantum phase transitions in the heavy fermion (HF) compounds. The variation of the quantum critical point (QCP) with anisotropy parameters has been investigated previously in the zero field case [1]. Here we extend the treatment to finite fields using a generalised bond operator representation including all triplet states. The variation of critical tc with magnetic field and the associated phase diagram is derived. The influence of anisotropies and the different gfactors for localised and itinerant spins on the field dependence of tc is also investigated. It is found that three different types of behaviour may appear: (i) Destruction of antiferromangetism and appearance of a singlet state above a critical field. (ii) The inverse behaviour, namely field induced antiferromagnetism out of the Kondo singlet phase. (iii) Reentrance behaviour of the Kondo singlet phase as function of field strength.

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Section: Discussionsupporting

confidence: 70%

Section: Discussionmentioning

confidence: 92%

Section: Discussionmentioning

confidence: 92%

Section: Discussionmentioning

confidence: 99%

See 2 more Smart Citations

Field-induced quantum phase transition in the anisotropic Kondo necklace model

Thalmeier

Langari

2007

Phys. Rev. B

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“…One of the unsolved pieces of physics that challenges the theoretical community is the Doniach quantum phase transition that is believed to separate local moment magnetism, and heavy electron paramagnetism in the metallic Kondo lattice [24]. Zerec et al presented a finite temperature "Lanczos" diagonalization study of the two dimensional Kondo lattice [25],…”

Section: Theoretica!mentioning

confidence: 99%

Theory perspective: SCES ’05 Vienna

Coleman¹

2006

Physica B: Condensed Matter

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Over the past decades, research into strongly correlated electron materials that has consistently outperformed our wildest expectations, with new discoveries and radically new theoretical insights.SCES '05 reaffirmed this vitality. Highlight areas included parity violating superconductivity, a new, two dimensional Helium-3 "Kondo lattice" and the discovery of quantum critical ferroelectricity. I review these and many other developments, with an emphasis on open questions and prospects for the future.

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Kondo lattice model in magnetic field

Cited by 2 publications

References 5 publications

Field-induced quantum phase transition in the anisotropic Kondo necklace model

Field-induced quantum phase transition in the anisotropic Kondo necklace model

Theory perspective: SCES ’05 Vienna

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