Simple Model for Characterizing the Electrical Resistivity in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>A</mml:mi><mml:mo>−</mml:mo><mml:mn>15</mml:mn><mml:mn /></mml:math>Superconductors

“…This small n should be reflected in zero-field transport. In normal metals, resistivity ρ saturates in the vicinity of Ioffe-Regel-Mott limit ρ IRM where elastic mean free path l min becomes comparable to interatomic distance [18,19]. In cuprates, however, signs of saturation are seen at ρ sat much larger than ρ IRM calculated from the semiclassical Boltzmann theory [20][21][22][23].…”

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confidence: 99%

“…2(a). Resistivity in this region is described extremely well by the parallel-resistor formula The ρ id term is the ideal resistivity in the absence of saturation [19] and the additive-in-conductivity formalism stems from existence of the minimal scattering time τ min , equivalent to Ioffe-Regel-Mott limit, which causes the shunt ρ sat to always influence ρ in normal metals [33,34]. The formula was used for overdoped LSCO [35] but with the large-Fermi-surface ρ sat value [34] as a fixed parameter.…”

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confidence: 99%

Saturation of resistivity and Kohler's rule in Ni-dopedLa1.85Sr0.15CuO4cuprate

2017

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We present the results of electrical transport measurements of La1.85Sr0.15Cu1−yNiyO4 thin singlecrystal films at magnetic fields up to 9 T. Adding Ni impurity with strong Coulomb scattering potential to slightly underdoped cuprate makes the signs of resistivity saturation at ρsat visible in the measurement temperature window up to 350 K. Employing the parallel-resistor formalism reveals that ρsat is consistent with classical Ioffe-Regel-Mott limit and changes with carrier concentration n as ρsat ∝ 1/ √ n. Thermopower measurements show that Ni tends to localize mobile carriers, decreasing their effective concentration as n ∼ = 0.15 − y. The classical unmodified Kohler's rule is fulfilled for magnetoresistance in the nonsuperconducting part of the phase diagram when applied to the ideal branch in the parallel-resistor model.

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“…However, such significant departure from the BGM behaviour may be also attributed to a substantial electron-phonon interaction strength responsible for the formation of Cooper pairs in conventional superconductors. In order to properly describe the resistivity data in the normal state, we make use of a well-known model, the so-called parallel resistor model (PRM), which was predicted for characterizing ρ(T ) of A15-type superconductors [17]. This phenomenological model is based on the idea that the ideal resistivity must approach some limiting value in the regime where the mean free path becomes comparable to the interatomic spacing and is given by the following expression:…”

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confidence: 99%

Inhomogeneous Superconducting Behaviour in $$\hbox {La}_{5}\hbox {Ni}_{2}\hbox {Si}_{3}$$ La 5 Ni 2

et al. 2017

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The superconducting phase transition at T c = 2.3 K was observed for the electrical resistivity ρ(T ) and magnetic susceptibility χ(T ) measurements in the ternary compound La 5 Ni 2 Si 3 that crystallizes in the hexagonal-type structure. Although a single-phase character with the nominal stoichiometry of the synthesized sample was confirmed, a small trace of the La-Ni phase was found, being probably responsible for the superconducting behaviour in the investigated compound. The magnetization loop recorded at T = 0.5 K resembles a star-like shape which indicates that the density of the critical current can be strongly suppressed by a magnetic field. The low-T ρ (T ) and specific heat C p (T ) data in the normal state reveal simple metallic behaviour. No clear evidence of a phase transition to any long-or short-range order was found for C p (T ) measurements in the T -range of 0.4-300 K.

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Simple Model for Characterizing the Electrical Resistivity inA−15Superconductors

Cited by 321 publications

References 9 publications

Towards analysis of the electron density of states of Nb3Sn as a function of strain

Towards analysis of the electron density of states of Nb3Sn as a function of strain

Saturation of resistivity and Kohler's rule in Ni-dopedLa1.85Sr0.15CuO4cuprate

Inhomogeneous Superconducting Behaviour in $$\hbox {La}_{5}\hbox {Ni}_{2}\hbox {Si}_{3}$$ La 5 Ni 2

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