Quasiparticle and Nonquasiparticle Transport in Doped Quantum Paraelectrics

Abstract

Charge transport in doped quantum paralectrics (QPs) presents a number of puzzles, including a pronounced $T^2$ regime in the resistivity. We analyze charge transport in a QP within a model of electrons coupled to a soft transverse optical (TO) mode via a two-phonon mechanism. For $T$ above the soft-mode frequency but below some characteristic scale ($E_0$), the resistivity scales with the occupation number of phonons squared, i.e., as $T^2$. The $T^2$ scattering rate does not depend on the carrier number density and is not affected by a crossover between degenerate and non-degenerate regimes, in agreement with the experiment. Temperatures higher than $E_0$ correspond to a non-quasiparticle regime, which we analyze by mapping the Dyson equation onto a problem of supersymmetric quantum mechanics. The combination of scattering by two TO phonons and by a longitudinal optical mode explains the data quite well.

arXiv comment5 pages, 2 figures, Supplementary material 23 pages

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• Phonon-Induced Collective Modes in Spin-Orbit Coupled Polar Metals
• Analytic method for quadratic polarons in nonparabolic bands
• Polarons with arbitrary nonlinear electron-phonon interaction
• Electronic spin susceptibility in metallic strontium titanate
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