Planckian relaxation delusion in metals

Abstract

We present a critical review of recent attempts to introduce the new quantum ("Planckian") limit for the temperature dependence of inelastic scattering rate of electrons in metals. We briefly discuss the main experimental facts and some simple theoretical models explaining the linear in temperature growth of resistivity (starting from very low temperatures) in superconducting cuprates and some similar systems. There is no commonly accepted theoretical explanation of such behavior up to now. We also discuss the known quantum limits for electrical conductivity (resistance). It is shown that the universal Planckian limit for the inelastic relaxation rate proposed in some papers is a kind of delusion related to a certain procedure to represent the experimental data.

arXiv comment17 pages, 13 figures, short review extending the discussion of arXiv:2001.01393, to be published in Physics Uspekhi, few typos corrected

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Cited by in corpus (12)

• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Planckian Dissipation in Metals
• Non-Fermi liquid phase and linear-in-temperature scattering rate in overdoped two dimensional Hubbard model
• Planckian Metal at a Doping-Induced Quantum Critical Point
• A counterexample to the conjectured Planckian bound on transport
• Transport properties and doping evolution of the Fermi surface in cuprates
• Die Hard Holographic Phenomenology of Cuprates
• Quantum turbulence and Planckian dissipation
• Two $T$-linear scattering rate regimes in the triangular lattice Hubbard model
• The Strange Metal State of the high-Tc Cuprates
• What can we learn from nonequilibrium response of a strange metal?
• Planckian behavior of cuprates at the pseudogap critical point simulated via flat electron-boson spectral density