2018/05/07 by A. Legros, S. Benhabib, W. Tabis +13 · 2 citations
Physics and Astronomy · #cond-mat.supr-con
paper · pdf · doi:10.1038/s41567-018-0334-2
published as Nature Physics 15, 142 (2019) · main + SI
arxiv created 2018/05/07 · arxiv updated 2019/02/05
The perfectly linear temperature dependence of the electrical resistivity observed as T → 0 in a variety of metals close to a quantum critical point is a major puzzle of condensed matter physics . 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 bi-layer cuprate Bi2212 and found that it exhibits a T-linear dependence with the same slope as in the single-layer cuprates Bi2201, Nd-LSCO and LSCO, 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 limit whereby ℏ / τ= kB T, works not only for hole-doped cuprates but also for electron-doped cuprates despite the different nature of their quantum critical point and strength of their electron correlations.