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| VOLUME 110 (2019) | ISSUE 4 | PAGE 266 |
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Fermion condensation, T-linear resistivity and Planckian limit
V. R. Shaginyan+*, M. Ya. Amusia×°, A. Z. Msezane*, V. A. Stephanovich∇, G. S. Japaridze*, S. A. Artamonov+
+Petersburg Nuclear Physics Institute of NRC "Kurchatov Institute", 188300 Gatchina, Russia *Clark Atlanta University, Atlanta, GA 30314, USA ×Racah Institute of Physics, Hebrew University, Jerusalem 91904, Israel °Ioffe Physical Technical Institute, Russian Academy of Sciences, 194021 St. Petersburg, Russia ∇Institute of Physics, Opole University, Oleska 48, 45-052 Opole, Poland
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-Tc 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. 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 fermion condensation quantum phase transition can be viewed as the universal agent explaining the very unusual physics of strongly correlated Fermi systems. |