Polaron mobility in the "beyond quasiparticles" regime

Abstract

In a number of physical situations, from polarons to Dirac liquids and to non-Fermi liquids, one encounters the "beyond quasiparticles" regime, in which the inelastic scattering rate exceeds the thermal energy of quasiparticles. Transport in this regime cannot be described by the kinetic equation. We employ the Diagrammatic Monte Carlo method to study the mobility of a Fröhlich polaron in this regime and discover a number of non-perturbative effects: a strong violation of the Mott-Ioffe-Regel criterion at intermediate and strong couplings, a mobility minimum at $T\sim \Omega$ in the strong-coupling limit ($\Omega$ is the optical mode frequency), a substantial delay in the onset of an exponential dependence of the mobility for $T<\Omega$ at intermediate coupling, and complete smearing of the Drude peak at strong coupling. These effects should be taken into account when interpreting mobility data in materials with strong electron-phonon coupling.

arXiv comment5 pages, 4 figures+supplemental material

References in corpus (7)

• Theory of universal incoherent metallic transport
• Polaron Problem by Diagrammatic Quantum Monte Carlo
• Numerical analytic continuation: Answers to well-posed questions
• Mobility of Holstein polaron: an unbiased approach
• Optical conductivity of the Frohlich polaron
• Metallicity without quasi-particles in room-temperature strontium titanate
• Phase-space approach to polaron response: Kadanoff and FHIP re-examined

Cited by in corpus (12)

• Planckian Dissipation in Metals
• Predicting charge transport in the presence of polarons: The beyond-quasiparticle regime in SrTiO${}_3$
• Quasiparticle and Nonquasiparticle Transport in Doped Quantum Paraelectrics
• Quantum interference effect on exciton transport in monolayer semiconductors
• Heavy non-degenerate electrons in doped strontium titanate
• Peierls/Su-Schrieffer-Heeger polarons in two dimensions
• Exchange-correlation effect in the charge response of a warm dense electron gas
• Machine Learning for Exploring Small Polaron Configurational Space
• Diagrammatic quantum Monte Carlo toward the calculation of transport properties in disordered semiconductors
• Multiple phonon modes in Feynman path-integral variational polaron mobility
• Fermionic Sign Structure of High-order Feynman diagrams in a Many-fermion System
• Cumulant methods for electron-phonon problems. I. Perturbative expansions