Quantum critical point in heavy fermions

Continentino, M. A.

doi:10.1590/s0103-97332005000100018

Cited by 25 publications

(33 citation statements)

References 59 publications

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“…[1][2][3] It is therefore of great importance to understand the approach to the quantum critical region within suitable theoretical models. The most important among them is the Kondo lattice model consisting of a free conduction band and an on-site antiferromagnetic Kondo interaction which favors nonmagnetic singlet formation.…”

Section: Introductionmentioning

confidence: 99%

Phase diagram of the one-dimensional anisotropic Kondo-necklace model

Mahmoudian

Langari

2008

Phys. Rev. B

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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 ͑J͒ 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 Ͻ 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.

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Section: Introductionmentioning

confidence: 99%

Phase diagram of the one-dimensional anisotropic Kondo-necklace model

Mahmoudian

Langari

2008

Phys. Rev. B

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“…The interplay between magnetism and superconductivity in strongly correlated electron systems has been intensively investigated in the past decades [1]. Particularly, the family of heavy fermion superconductors (HFSs) CeMIn 5 (M Rh; Co; Ir) (1-1-5) has allowed detailed investigation of this interplay in high-quality single crystals, where the antiferromagnetic (AFM) and the superconducting (SC) ground states can be found in their rich phase diagrams [2 -8].…”

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Tuning the Pressure-Induced Superconducting Phase in DopedCeRhIn5

et al. 2008

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Pressure- and temperature-dependent heat capacity and electrical resistivity experiments on Sn- and La-doped CeRhIn5 are reported for two samples with specific concentrations, Ce(0.90)La(0.10)RhIn5 and CeRhIn(4.84)Sn(0.16), which present the same TN=2.8 K. The obtained P-T phase diagrams for doped CeRhIn5 compared to that for the pure compound show that Sn doping shifts the diagram to lower pressures while La doping does exactly the opposite, indicating that the important energy scale to define the pressure range for superconductivity in CeRhIn5 is the strength of the on-site Kondo coupling.

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“…Like for most Ce-based heavy fermion compounds, T max moves to higher temperatures due to the increase of hybridization induced by pressure, as expected if this characteristic temperature is related to the crossover from incoherent to coherent electronic scattering regime in a Kondo lattice. 19,20 On the other hand, T S , associated to a superlattice distortion 3 and probably combined with a charge density wave transition, 9 decreases as a function of pressure (see inset Fig. 2).…”

Section: Resultsmentioning

confidence: 95%

Heavy fermion Ce3Co4Sn13 compound under pressure

Collave

Borges

Ramos

et al. 2015

Journal of Applied Physics

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The non-magnetic heavy fermion compound Ce 3 Co 4 Sn 13 was studied under pressure. We report single crystalline measurements of electrical resistivity as a function of temperature q(T) under pressure. Some characteristic features related to a structural transition (T S ), crystalline field effects (T CEF ), and a low temperature maximum (T max ), possibly connected simultaneously to the onset of Kondo lattice coherence and short range magnetic correlations, were identified in the q(T) data. A pressure-temperature phase diagram with T S and T max was constructed by mapping these features. Like for most Ce-based heavy fermion compounds, T max moves to higher temperatures with pressure, indicating that it is related to the Kondo energy scale, due to the increase of hybridization induced by pressure. On the other hand, T S , associated to a superlattice distortion and probably combined with a charge density wave transition, decreases as a function of pressure. However, differently from the Sr 3Àx Ca x Ir 4 Sn 13 system, where a superlattice quantum phase transition is observed [L. E. Klintberg et al., Phys. Rev. Lett. 109, 237 008 (2012)], in Ce 3 Co 4 Sn 13 T S $ 154 K, at ambient pressure (P ¼ 0), seems to stabilize at around 143 K for P ! 19 kilobars. We also investigated q(T) in external magnetic fields, at P ¼ 0. Negative magnetoresistance and increase of T max are observed, suggesting suppression of low temperature short range magnetic correlations. V C 2015 AIP Publishing LLC. [http://dx.

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Quantum critical point in heavy fermions

Cited by 25 publications

References 59 publications

Phase diagram of the one-dimensional anisotropic Kondo-necklace model

Phase diagram of the one-dimensional anisotropic Kondo-necklace model

Tuning the Pressure-Induced Superconducting Phase in DopedCeRhIn5

Heavy fermion Ce3Co4Sn13 compound under pressure

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