6533b82dfe1ef96bd1291448

RESEARCH PRODUCT

FERMION CONDENSATION, T -LINEAR RESISTIVITY AND PLANCKIAN LIMIT

George JaparidzeVladimir A. StephanovichM. Ya. AmusiaM. Ya. AmusiaS. A. ArtamonovVasily R. ShaginyanVasily R. ShaginyanAlfred Z. Msezane

subject

Condensed Matter::Quantum GasesPhysicsSuperconductivityQuantum phase transitionQuantum PhysicsStrongly Correlated Electrons (cond-mat.str-el)Physics and Astronomy (miscellaneous)Condensed matter physicsSolid-state physicsPhononFOS: Physical sciencesFermion01 natural sciences010305 fluids & plasmasCondensed Matter - Strongly Correlated ElectronsElectrical resistivity and conductivityLattice (order)Scattering rate0103 physical sciencesCondensed Matter::Strongly Correlated ElectronsQuantum Physics (quant-ph)010306 general physics

description

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.

https://doi.org/10.1134/s0370274x19160100