Quasi-classical physics and T-linear resistivity in both strongly correlated and ordinary metals

Abstract

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 ρof 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 T_D, 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, electron-phonon scattering leads to near material-independence of the lifetime τof quasiparticles that is expressed as the ratio of the Planck constant \hbar to the Boltzmann constant k_B, Tτ\sim \hbar/k_B. We find that at T<T_D there exists a different mechanism, maintaining the T-linear dependence of ρ(T), and making the constancy of τfail in spite of the presence of T-linear dependence. Our results are in good agreement with exciting experimental observations.

5 pages, 3 figures. arXiv admin note: text overlap with arXiv:1211.4205. References added and misprints corrected

References in corpus (21)

• Formation of a Nematic Fluid at High Fields in Sr3Ru2O7
• Quantum critical state in a magnetic quasicrystal
• Visualizing heavy fermions emerging in a quantum critical Kondo lattice
• Evolution of the electronic excitation spectrum with strongly diminishing hole-density in superconducting Bi_{2}Sr_{2}CaCu_{2}O_{8+δ}
• Scaling Behavior of Heavy Fermion Metals
• Measurement of x-ray absorption spectra of overdoped high-temperature cuprate superconductors: Inapplicability of the single-band Hubbard model
• Sr3Ru2O7: Thermodynamics of Phase Formation in a Quantum Critical Metal
• Metamagnetism of itinerant electrons in multi-layer ruthenates
• Metamagnetic quantum criticality in Sr3Ru2O7 studied by thermal expansion
• Towards the identification of a quantum critical line in the (p, B) phase diagram of CeCoIn5
• Curie law, entropy excess, and superconductivity in heavy fermion metals and other strongly interacting Fermi liquids
• Dimensional crossover of quantum critical behavior in CeCoIn${}_5$
• Common quantum phase transition in quasicrystals and heavy-fermion metals
• Challenging Magnetic Field Dependence of the Residual Resistivity of the Heavy-Fermion Metal CeCoIn5
• Quantum criticality and the formation of a putative electronic liquid crystal in Sr3Ru2O7
• Symmetry-breaking lattice distortion in Sr_3Ru_2O_7
• Merging of single-particle levels and non-Fermi-liquid behavior of finite Fermi systems
• Adaptation of the Landau-Migdal Quasiparticle Pattern to Strongly Correlated Fermi Systems
• Second wind of the Dulong-Petit Law at a quantum critical point
• Quasiparticles of strongly correlated Fermi liquids at high temperatures and in high magnetic fields
• Nature of the quantum critical point as disclosed by extraordinary behavior of magnetotransport and the Lorentz number in the heavy-fermion metal YbRh2Si2

Cited by in corpus (14)

• Flat band and Planckian metal
• Fermion condensation, $T$-linear resistivity and Planckian limit
• Flat bands and the physics of strongly correlated Fermi systems
• Planckian relaxation delusion in metals
• Topological disorder triggered by interaction-induced flattening of electron spectra in solids
• Heat transport in magnetic fields by quantum spin liquid in the organic insulators EtMe3Sb[Pd(dmit)2]2 and κ-(BEDT-TTF)2Cu2(CN)3
• Quantum acoustics unravels Planckian resistivity
• Toward a topological scenario for high-temperature superconductivity of copper oxides
• On Planckian limit for inelastic relaxation in metals
• A classical model for sub-Planckian thermal diffusivity in complex crystals
• Universal $T/B$ scaling behavior of heavy fermion compounds
• What can we learn from nonequilibrium response of a strange metal?
• Transport properties of strongly correlated Fermi systems
• Scaling behavior of superconductors