Mixed-valence transition in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">YbInCu</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

Kindler, B.; Finsterbusch, D.; Graf, R.; Ritter, Franz; Aßmus, W.; Lüthi, B.

doi:10.1103/physrevb.50.704

Cited by 93 publications

(81 citation statements)

References 12 publications

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“…They are usually referred to as "precursor effects" and often associated with gradually changing electronic properties (like "valence"). Sometimes the transition is interpreted as a second-order one due to the softening and in contradiction to the obvi-ous discontinuous behavior [31]. Our results provide a simple explanation for these precursor effects without invoking peculiar temperature dependence of electronic properties and clarify the rather confusing issue of the order of the transition.…”

Section: Discussionmentioning

confidence: 68%

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Thermodynamics of volume-collapse transitions in cerium and related compounds

2005

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We present a non-linear elastic model of a coherent transition with discontinuous volume change in an isotropic solid. The model reproduces the anomalous thermodynamics typical of coherent equilibrium including intrinsic hysteresis (for a pressure driven experiment) and a negative bulk modulus. The novelty of the model is that the statistical mechanics solution can be easily worked out. We find that coherency leads to an infinite-range density-density interaction, which drives classical critical behavior. The pressure width of the hysteresis loop shrinks with increasing temperature, ending at a critical point at a temperature related to the shear modulus. The bulk modulus softens with a 1/2 exponent at the transition even far from the critical point. Many well known features of the phase diagram of Ce and related systems are explained by the model.

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Section: Discussionmentioning

confidence: 68%

“…[31]). This also explains the appearance of precursor effects which have been very puzzling in the mixed-valence literature and have led some authors to interpret the transition as second order [31].…”

Section: Comparison With Experimentsmentioning

confidence: 99%

Thermodynamics of volume-collapse transitions in cerium and related compounds

2005

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“…Since being discovered by Felner and Nowik [1], YblnCu4 has continued to attract attention [2]. YblnCu4 is the only stoichiometric compound yet-discovered that undergoes a first-order isostructural valence transition at ambient pressure.…”

mentioning

confidence: 99%

“…Theoretically, there exist several competing models of such valence transitions, the 7-~ transition in Ce being the prototype 1,7]. Experimentally, controversy exists as to the precise value of the transition temperature, Tv -values ranging from 40 to 80 K have been reported -and to the evolution of the transition upon doping away from the stoichiometric compound [1,2,8]. In an attempt to resolve the materials issues as well as to understand the evolution from firstorder valence change to mixed valence as Ag is substituted for In, we have synthesized single crystals of and performed various physical measurements on Yblnl-x AgxCu4.…”

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confidence: 99%

YbIn1−xAgxCu4: Crossover from first-order valence transition to heavy Fermion behavior

Sarrao

Benton

Fisk

et al. 1996

Physica B: Condensed Matter

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The results of an on-going study of Yblnl _ ~AgxCu4 are presented. YblnCu4 undergoes a first-order valence transition at 40 K, while YbAgCu4 is an isostructural heavy Fermion compound. We have succeeded in growing single crystals of these compounds, as well as intermediate alloys, using flux-growth techniques. A smooth evolution from YblnCu4 to YbAgCu4 is observed. Results on the influence of sample quality, as well as the effect of other dopants, on the valence transition in YblnCu4 are also discussed.

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“…Analysis of an Ising model [19] of a lattice predicts K < 0 near the critical temperature. Softening [20] of the bulk modulus (analogous to softening of the shear modulus in ferroelastics) has been observed in YbInCu 4 crystals at a temperature of 67 K. Composites with spherical inclusions of negative bulk moduli exhibit anomalies in the composite bulk modulus and Young's modulus (and in the corresponding mechanical damping). A partially constrained bar with negative bulk modulus is stable with respect to elementary deformation modes [18].…”

Section: Introductionmentioning

confidence: 99%

Stability of elastic material with negative stiffness and negative Poisson's ratio

Shang

Lakes

2007

Physica Status Solidi (b)

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PACS 46. 05.+b, 62.20.Dc Stability of cuboids and cylinders of an isotropic elastic material with negative stiffness under partial constraint is analyzed using an integral method and Rayleigh quotient. It is not necessary that the material exhibit a positive definite strain energy to be stable. The elastic object under partial constraint may have a negative bulk modulus K and yet be stable. A cylinder of arbitrary cross section with the lateral surface constrained and top and bottom planar surfaces is stable provided the shear modulus G > 0 and -G/3 < K < 0 or K > 0. This corresponds to an extended range of negative Poisson's ratio, -∞ < ν < -1. A cuboid is stable provided each of its surfaces is an aggregate of regions obeying fully or partially constrained boundary conditions.

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Mixed-valence transition inYbInCu4

Cited by 93 publications

References 12 publications

Thermodynamics of volume-collapse transitions in cerium and related compounds

Thermodynamics of volume-collapse transitions in cerium and related compounds

YbIn1−xAgxCu4: Crossover from first-order valence transition to heavy Fermion behavior

Stability of elastic material with negative stiffness and negative Poisson's ratio

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