<i>Colloquium</i>: Saturation of electrical resistivity

Gunnarsson, O.; Calandra, Matteo; Han, Jong E.

doi:10.1103/revmodphys.75.1085

Cited by 441 publications

(472 citation statements)

References 99 publications

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“…k F l min ≈ π, see Ref. [46,47]), where a is the lattice parameter in CuO 2 plane, one gets ρ small IRM =( √ 2π /e 2 )d/ √ n=0.68/ √ n mΩ cm [26]. This is clearly distinguishable from the large Fermi surface case, ρ large IRM =0.68/ √ 1 + n, inapplicable to the system.…”

Section: (B-d)mentioning

confidence: 85%

“…The above can be explained by breakdown of the quasiparticle picture due to strong inelastic scattering at high T manifested by disappearing of a Drude peak in σ(ω) (Refs. [23,[25][26][27]). In systems where impurity scattering dominates the carrier relaxation (quasiparticle decay) rate 1/τ , the Drude peak is centered at ω=0 regardless of how strong scattering becomes [2,23].…”

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confidence: 99%

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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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Section: (B-d)mentioning

confidence: 85%

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confidence: 99%

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

2017

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“…Also, a comparable limit η n was proposed by Eyring [4] almost 80 years ago. For a large class of strongly correlated systems such as 3d transition-metal oxide compounds, organic charge-transfer salts such as κ-(BEDT-TTF) 2 X, the MIR limit is violated [5][6][7] and the coherent quasiparticle-based transport picture breaks down, i.e., < a. Similarly, we might expect that in the incoherent regime of transport, the shear viscosity η could violate the quantum limit to coherent transport, i.e., η < η q .…”

Section: Introductionmentioning

confidence: 99%

Shear viscosity of strongly interacting fermionic quantum fluids

Pakhira

McKenzie

2015

Phys. Rev. B

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Eighty years ago, Eyring proposed that the shear viscosity of a liquid η has a quantum limit η n where n is the density of the fluid. Using holographic duality and the anti-de Sitter/conformal field theory correspondence in string theory, Kovtun, Son, and Starinets (KSS) conjectured a universal bound η s 4πk B for the ratio between the shear viscosity and the entropy density s. Using dynamical mean-field theory, we calculate the shear viscosity and entropy density for a fermionic fluid described by a single-band Hubbard model at half-filling. Our calculated shear viscosity as a function of temperature is compared with experimental data for liquid 3 He. At low temperature, the shear viscosity is found to be well above the quantum limit and is proportional to the characteristic Fermi liquid 1/T 2 dependence, where T is the temperature. With increasing temperature and interaction strength U , there is significant deviation from the Fermi liquid form. Also, the shear viscosity violates the quantum limit near the crossover from coherent quasiparticle-based transport to incoherent transport (the bad metal regime). Finally, the ratio of the shear viscosity to the entropy density is found to be comparable to the KSS bound for parameters appropriate to liquid 3 He. However, this bound is found to be strongly violated in the bad metal regime for parameters appropriate to lattice electronic systems such as organic charge-transfer salts.

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“…Usually this pronounced curvature in ρ(T ) is observed for intermetallic compounds with transition metal elements and is connected with a strong interband s-d scattering of the conduction electrons [13]. On the other hand, a similar tendency in ρ(T ) was noticed for weakly correlated 3d and 5d transition metals and high-T C cuprates [14], as well as for mixed valent [15] and other highly correlated materials [16]. 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.…”

Section: Resultsmentioning

confidence: 70%

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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Colloquium: Saturation of electrical resistivity

Cited by 441 publications

References 99 publications

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

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

Shear viscosity of strongly interacting fermionic quantum fluids

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

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