Universal T-linear resistivity and Planckian dissipation in overdoped cuprates
By A. Legros, S. Benhabib, W. Tabiś, F. Laliberté, M. Dion, M. Lizaire, B. Vignolle, D. Vignolles, H. Raffy, Z. Li and 6 more. Nature Physics, 2018
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The perfectly linear temperature dependence of the electrical resistivity observed as T → 0 in a variety of metals close to a quantum critical point1–4 is a major puzzle of condensed-matter physics5. Here we show that T-linear resistivity as T → 0 is a generic property of cuprates, associated with a universal scattering rate. We measured the low-temperature resistivity of the bilayer cuprate Bi2Sr2CaCu2O8+δ and found that it exhibits a T-linear dependence with the same slope as in the single-layer cuprates Bi2Sr2CuO6+δ (ref. 6), La1.6−xNd0.4SrxCuO4 (ref. 7) and La2−xSrxCuO4 (ref. 8), despite their very different Fermi surfaces and structural, superconducting and magnetic properties. We then show that the T-linear coefficient (per CuO2 plane), A1□, is given by the universal relation A1□TF = h/2e2, where e is the electron charge, h is the Planck constant and TF is the Fermi temperature. This relation, obtained by assuming that the scattering rate 1/τ of charge carriers reaches the Planckian limit9,10, whereby ħ/τ = kBT, works not only for hole-doped cuprates6–8,11,12 but also for electron-doped cuprates13,14, despite the different nature of their quantum critical point and strength of their electron correlations.A transport study of overdoped cuprates reveals a resistivity that is linear as the temperature approaches 0 K, and is associated with a universal scattering rate.
Subfields: Condensed Matter Physics, Materials Chemistry, Physical and Theoretical Chemistry
View Paper: https://www.semanticscholar.org/paper/dea7dc8d0af0d67aaef87b57884148527cfb654b
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- Planckian dissipation, minimal viscosity and the transport in cuprate strange metals (2018, methodology): “cific heat (with an eye on entropy, see underneath) and (c) the optical conductivities. When the correlation between the entropy and the prefactor of the linear resistivity as claimed by Legros et al. [2] is confirmed, the optical conductivity should then reveal whether this correlation is due to the ”