Quasiclassical physics andT-linear resistivity in both strongly correlated and ordinary metals (original) (raw)

We show that near a quantum critical point generating quantum criticality of strongly correlated metals where the density of electron states diverges, the quasi-classical physics remains applicable to the description of the resistivity ρ of strongly correlated metals due to the presence of a transverse zero-sound collective mode, reminiscent of the phonon mode in solids. We demonstrate that at T , being in excess of an extremely low Debye temperature TD, the resistivity ρ(T) changes linearly with T , since the mechanism, forming the T dependence of ρ(T), is the same as the electron-phonon mechanism that prevails at high temperatures in ordinary metals. Thus, in the region of the Tlinear resistivity, electron-phonon scattering leads to near material-independence of the lifetime τ of quasiparticles that is expressed as the ratio of the Planck constant to the Boltzmann constant kB, T τ ∼ /kB. We find that at T < TD there exists a different mechanism, maintaining the T-linear dependence of ρ(T), and making the constancy of τ fail in spite of the presence of T-linear dependence. Our results are in good agreement with exciting experimental observations.

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