Non-quasiparticle transport and resistivity saturation: A view from the large-N limit

Abstract

The electron dynamics in metals are usually well described by the semiclassical approximation for long-lived quasiparticles. However, in some metals, the scattering rate of the electrons at elevated temperatures becomes comparable to the Fermi energy; then, this approximation breaks down, and the full quantum-mechanical nature of the electrons must be considered. In this work, we study a solvable, large-$N$ electron-phonon model, which at high temperatures enters the non-quasiparticle regime. In this regime, the model exhibits "resistivity saturation" to a temperature-independent value of the order of the quantum of resistivity - the first analytically tractable model to do so. The saturation is not due to a fundamental limit on the electron lifetime, but rather to the appearance of a second conductivity channel. This is suggestive of the phenomenological "parallel resistor formula", known to describe the resistivity of a variety of saturating metals.

arXiv comment14 pages, 8 figures

References in corpus (22)

• A bound on chaos
• Theory of universal incoherent metallic transport
• Saturation of electrical resistivity
• Universality of the Mott-Ioffe-Regel limit in metals
• How bad metals turn good: spectroscopic signatures of resilient quasiparticles
• Non-Fermi liquids and the Wiedemann-Franz law
• Towards a statistical theory of transport by strongly-interacting lattice fermions
• Transport near the Ising-nematic quantum critical point of metals in two dimensions
• Non-Fermi liquid behavior of large N_B quantum critical metals
• Hidden Fermi Liquid, Scattering Rate Saturation and Nernst Effect: a DMFT Perspective
• Quantum critical response at the onset of spin density wave order in two-dimensional metals
• "Bad Metal" Conductivity of Hard Core Bosons
• Quasiparticles beyond the Fermi liquid and heavy fermion criticality
• Resistivity saturation revisited: results from a dynamical mean field theory
• Electrical resistivity at large temperatures: Saturation and lack thereof
• The Mott-Ioffe-Regel limit and resistivity crossover in a tractable electron-phonon model
• Absence of a quantum limit to charge diffusion in bad metals
• Metals with Small Electron Mean-Free Path: Saturation versus Escalation of Resistivity
• Saturation of electrical resistivity in metals at large temperatures
• Long Wavelength Correlations and Transport in a Marginal Fermi Liquid
• Power-law Optical Conductivity from Unparticles: Application to the Cuprates
• Conductivity close to antiferromagnetic criticality

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