Universal <i>T</i>-linear resistivity and Planckian dissipation in cuprates
ORAL
Abstract
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 [1]. 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), A, is given by the universal relation A 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 [2], whereby h /τ = 2π kBT, 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.
[1] Legros et al., Nature Physics (in press); arXiv:1805.02512 (2018).
[2] Bruin et al., Science 339, 804 (2013).
[1] Legros et al., Nature Physics (in press); arXiv:1805.02512 (2018).
[2] Bruin et al., Science 339, 804 (2013).
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Presenters
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Louis Taillefer
- University of Sherbrooke (Canada)
- Université de Sherbrooke, Canada
- Physics, Université de Sherbrooke
- Universite de Sherbrooke
- Universite de Sherbrooke (Canada)