Electrical resistivity and effect of pressure on the thermal expansion of a single crystal of YbCu2Si2

Uwatoko, Yoshiya; Oomi, G.; Thompson, J. D.; Canfield, P. C.; Fisk, Z.

doi:10.1016/0921-4526(93)90645-m

Cited by 13 publications

(5 citation statements)

References 11 publications

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“…1, T 2 -dependence of the resistivity is shown. Resistivity is not linear to T 2 , consistent with the previous result at T44:2 K [4]. Moreover, it has been revealed that resistivity persists to be non-linear against T 2 down to the lowest temperatures (1.8 K), as can be seen in the inset (a) of Fig.…”

Section: Resultssupporting

confidence: 85%

“…In YbCu 2 Si 2 , however, such Fermi-liquid state has not been established experimentally. Electrical resistivity (r) using a single crystal reports the absence of T 2 behavior (T: temperature) above 4.2 K, which should typically be observed for Fermi liquid state [4]. On the other hand, T 2 dependence is observed at least below 4 K by using polycrystalline samples [5].…”

Section: Introductionmentioning

confidence: 94%

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Non-Fermi liquid behavior in

Tsujii

Kitazawa

Aoyagi

et al. 2007

Journal of Magnetism and Magnetic Materials

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Section: Resultssupporting

confidence: 85%

Section: Introductionmentioning

confidence: 94%

Non-Fermi liquid behavior in

Tsujii

Kitazawa

Aoyagi

et al. 2007

Journal of Magnetism and Magnetic Materials

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“…The increase of the Eu contribution with decreasing temperature is an indication of the existence of a Kondo-type state of the Eu ions in Lu x Eu 1−x Cu 2 Si 2 , and not just a consequence of the way in which the temperature dependence of the resistance is represented. It may be noted that our data show the absence of residual resistance in LuCu 2 Si 2 down to 4.2 K, whereas the temperature dependence of the resistance of LuCu 2 Si 2 presented in [13] indicates the existence of residual resistance up to 15 K. Depending on which data are used for LuCu 2 Si 2 , different results will be obtained when extracting the Eu contribution from the experimental values of the relative resistance of Lu x Eu 1−x Cu 2 Si 2 (where a domain of saturation is observed at low temperature). In our case, the relatively large values of the resistance in the helium temperature region undoubtedly point to the existence of an additional mechanism of carrier dispersion, namely, of the Kondo type.…”

Section: Resultscontrasting

confidence: 63%

Correlation between transport properties and valence instability states of Eu ions in Lu Eu1−Cu2Si2

Kuzhel

Belan

Stets

2004

Journal of Alloys and Compounds

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“…The thermal expansion data of Ref. 16 are consistent with this prediction, although not quite conclusive, as they focused on a higher temperature region. There also are materials where hydrostatic pressure drives the system away from ferromagnetic order, while uniaxial stress favors it; an example is UCoAl [17].…”

supporting

confidence: 74%

Third Law of Thermodynamics and The Shape of the Phase Diagram for Systems With a First-Order Quantum Phase Transition

Kirkpatrick

Belitz

2015

Phys. Rev. Lett.

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The third law of thermodynamics constrains the phase diagram of systems with a first-order quantum phase transition. For zero conjugate field, the coexistence curve has an infinite slope at T = 0. If a tricritical point exists at T > 0, then the associated tricritical wings are perpendicular to the T = 0 plane, but not to the zero-field plane. These results are based on the third law and basic thermodynamics only, and are completely general. As an explicit example we consider the ferromagnetic quantum phase transition in clean metals, where a first-order quantum phase transition is commonly observed.First-order phase transitions are ubiquitous in nature, the solid-to-liquid and liquid-to-gas transitions being the most commonly observed ones. Another common example of a first-order transition is the ferromagnetic transition below the Curie temperature as a function of an external magnetic field. First-order transitions are characterized by a coexistence curve in the phase diagram along which the two phases coexist in thermodynamic equilibrium. (The coexistence curve may be the projection of a higher-dimensional coexistence manifold into a particular plane in the phase diagram.)It has long been known that the curvature of the coexistence curve is determined by the discontinuities of certain observables across it. The Clapeyron-Clausius (CC) equation relates the slope of the coexistence curve in the pressure-temperature (p -T ) plane to the discontinuities of the entropy and the volume [1]:where ∆s = s 1 − s 2 and ∆v = v 1 − v 2 with s 1,2 and v 1,2 the specific entropy and volume per particle, respectively, in the two phases. For definiteness, let 1 and 2 label the ordered and disordered phases, respectively, and for later reference we indicate that an appropriate external field H, if any, is held constant in taking the derivative. The CC equation (1) and its analogs in different planes of the phase diagram are very general, as they rely only on basic thermodynamic arguments. In this Letter we show that for quantum phase transitions, when combined with the third law of thermodynamics, they provide interesting constraints on the shape of the phase diagram. We will consider a pressure-driven transition at T = 0 that is first order, remains first order at low T , and turns second order at higher T via a tricritical point (TCP). The schematic phase diagram in the space spanned by T , p, and H, where H is the field conjugate to the order parameter, is shown in Fig. 1. As we will see, the detailed shape of this phase diagram at low T is constrained by thermodynamics. Our arguments leading to this conclusion are completely general; however, as an explicit example we will discuss the quantum ferromagnetic transition in clean metals [2]. Another example of a first-order quantum phase transition with a TCP in the phase diagram is the Ising antiferromagnet dysprosium arXiv:1504.00644v3 [cond-mat.stat-mech] 9 Jul 2015

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Electrical resistivity and effect of pressure on the thermal expansion of a single crystal of YbCu2Si2

Cited by 13 publications

References 11 publications

Non-Fermi liquid behavior in

Non-Fermi liquid behavior in

Correlation between transport properties and valence instability states of Eu ions in Lu Eu1−Cu2Si2

Third Law of Thermodynamics and The Shape of the Phase Diagram for Systems With a First-Order Quantum Phase Transition

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