Field induced magnetic quantum critical behavior in the Kondo necklace model

Reyes, Daniel; Continentino, M. A.

doi:10.1016/j.jmmm.2008.02.084

Cited by 3 publications

(1 citation statement)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…On the other hand, at higher dimensions, it is found that the model presents a quantum critical point (QCP) where the nonmagnetic gapped phase goes to zero and at the same time appears a magnetic gapless phase [13][14][15][16]. Then, the KNM was used for studying the effect of magnetic field [17], thermal and magnetic entanglement [18], dimensional crossover [19,20], and anisotropy [21][22][23] in the heavy fermion compounds. Disorder was also considered in the one dimensional KNM, and all seems to indicate that it is an essential ingredient in the study of the heavy fermions materials [24,26].…”

Section: Introductionmentioning

confidence: 99%

Quantum critical behavior of the Kondo necklace model with aperiodic exchange modulation

Reyes

Landauro

2010

Journal of Magnetism and Magnetic Materials

View full text Add to dashboard Cite

a b s t r a c tThe low energy behavior of the Kondo necklace model with an aperiodic exchange modulation is studied using a representation for the localized and conduction electron spins, in terms of local Kondo singlet and triplet operators at zero and finite temperature for arbitrary d dimensions. A decoupling scheme on the double time Green's functions is used to find the dispersion relation for the excitations of the system. We determined the dependence between the chemical aperiodic exchange modulation and the spin gap in 1d, 2d and 3d, at zero temperature and in the paramagnetic side of the phase diagram. On the other hand, at low but finite temperatures, the line of Né el transitions in the antiferromagnetic phase is calculated in function of the aperiodic exchange modulation.

show abstract