Phonon-kink scattering effect on the low-temperature thermal transport in solids
| Autor: | J. A. M. van Ostaay, Sergei I. Mukhin |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
010302 applied physics
Superconductivity Materials science Strongly Correlated Electrons (cond-mat.str-el) Physics and Astronomy (miscellaneous) Condensed matter physics Phonon scattering Phonon Scattering FOS: Physical sciences General Physics and Astronomy Atmospheric temperature range 01 natural sciences Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова Crystal Condensed Matter - Strongly Correlated Electrons Thermal conductivity Condensed Matter::Superconductivity 0103 physical sciences Dislocation 010306 general physics |
| Zdroj: | Low Temperature Physics Low Temperature Physics, 44(6), 584 |
| ISSN: | 1090-6517 1063-777X |
| Popis: | We consider contribution to the phonon scattering, in the temperature range of 1K, by the dislocation kinks pinned in the random stress fields in a crystal. The effect of electron-kink scattering on the thermal transport in the normal metals was considered much earlier \cite{Muk86}. The phonon thermal transport anomaly at low temperature was demonstrated by experiments in the deformed (bent) superconducting lead samples \cite{Mez79} and in helium-4 crystals \cite{Mez82, Mez84} and was ascribed to the dislocation dynamics. Previously, we had discussed semi-qualitatively the phonon-kink scattering effects on the thermal conductivity of insulating crystals in a series of papers \cite{mezmuk, ostmukmez}. In this work it is demonstrated explicitly that exponent of the power low in the temperature dependence of the phonon thermal conductivity depends, due to kinks, on the distribution of the random elastic stresses in the crystal, that pin the kinks motion along the dislocation lines. We found that one of the random matrix distributions of the well known Wigner-Dyson theory is most suitable to fit the lead samples experimental data \cite{Mez79}. We also demonstrate that depending on the distribution function of the oscillation frequencies of the kinks, the power low temperature dependences of the phonon thermal conductivity, in principle, may possess exponents in the range of $2\div 5$. Comment: 12 pages, 3 figures, A.A.Abrikosov 90-th anniversary issue |
| Databáze: | OpenAIRE |
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