Fermion condensation, $T$-linear resistivity and Planckian limit

Abstract

We explain recent challenging experimental observations of universal scattering rate related to the linear-temperature resistivity exhibited by a large corps of both strongly correlated Fermi systems and conventional metals. We show that the observed scattering rate in strongly correlated Fermi systems like heavy fermion metals and high-$T_c$ superconductors stems from phonon contribution that induce the linear temperature dependence of a resistivity. The above phonons are formed by the presence of flat band, resulting from the topological fermion condensation quantum phase transition (FCQPT). We emphasize that so - called Planckian limit, widely used to explain the above universal scattering rate, may occur accidentally as in conventional metals its experimental manifestations (e.g. scattering rate at room and higher temperatures) are indistinguishable from those generated by the well-know phonons being the classic lattice excitations. Our results are in good agreement with experimental data and show convincingly that the topological FCQPT can be viewed as the universal agent explaining the very unusual physics of strongly correlated Fermi systems.

6 pages, 4 figures, references are added

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Cited by in corpus (11)

• Planckian Dissipation in Metals
• Flat bands, strange metals, and the Kondo effect
• Are Heavy Fermion Strange Metals Planckian?
• Flat band and Planckian metal
• Planckian relaxation delusion in metals
• Topological disorder triggered by interaction-induced flattening of electron spectra in solids
• Phase diagram and topological order in the modulated $XYZ$ chain with magnetic fields
• A classical model for sub-Planckian thermal diffusivity in complex crystals
• On Planckian limit for inelastic relaxation in metals
• What can we learn from nonequilibrium response of a strange metal?
• Localizing Transitions via Interaction-Induced Flat Bands