Phonon-kink scattering effect on the low-temperature thermal transport in solids
We consider contribution to the phonon scattering, in the temperature range of 1 K, 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 [1]. The phonon thermal trans...
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| Опубліковано в: : | Физика низких температур |
|---|---|
| Дата: | 2018 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2018
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/176170 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Phonon-kink scattering effect on the low-temperature thermal transport in solids / J.A.M. van Ostaay, S.I. Mukhin // Физика низких температур. — 2018. — Т. 44, № 6. — С. 747-757. — Бібліогр.: 21 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862706973853614080 |
|---|---|
| author | van Ostaay, J.A.M. Mukhin, S.I. |
| author_facet | van Ostaay, J.A.M. Mukhin, S.I. |
| citation_txt | Phonon-kink scattering effect on the low-temperature thermal transport in solids / J.A.M. van Ostaay, S.I. Mukhin // Физика низких температур. — 2018. — Т. 44, № 6. — С. 747-757. — Бібліогр.: 21 назв. — англ. |
| collection | DSpace DC |
| container_title | Физика низких температур |
| description | We consider contribution to the phonon scattering, in the temperature range of 1 K, 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 [1]. The phonon thermal transport anomaly at low temperature was demonstrated by experiments in the deformed (bent) superconducting lead samples [2] and in helium-4 crystals [3,4] 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 [5,6]. 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 [2]. 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 2–5.
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| first_indexed | 2025-12-07T17:02:07Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-176170 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-12-07T17:02:07Z |
| publishDate | 2018 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | van Ostaay, J.A.M. Mukhin, S.I. 2021-02-03T19:43:32Z 2021-02-03T19:43:32Z 2018 Phonon-kink scattering effect on the low-temperature thermal transport in solids / J.A.M. van Ostaay, S.I. Mukhin // Физика низких температур. — 2018. — Т. 44, № 6. — С. 747-757. — Бібліогр.: 21 назв. — англ. 0132-6414 PACS: 72.10.–d, 72.15.Eb, 66.70.–f, 61.72.Lk, 67.80.–s https://nasplib.isofts.kiev.ua/handle/123456789/176170 We consider contribution to the phonon scattering, in the temperature range of 1 K, 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 [1]. The phonon thermal transport anomaly at low temperature was demonstrated by experiments in the deformed (bent) superconducting lead samples [2] and in helium-4 crystals [3,4] 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 [5,6]. 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 [2]. 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 2–5. The authors are grateful to Prof. L.P. Mezhov-Deglin for
 valuable discussions of the experimental data in lowtemperature transport anomalies in deformed crystal samples
 at low temperatures. S.I.M. is grateful to Prof. Beenakker
 and colleagues at the Lorentz Institute for useful discussions and hospitality during his stay in Leiden in the
 course of this work. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова Phonon-kink scattering effect on the low-temperature thermal transport in solids Article published earlier |
| spellingShingle | Phonon-kink scattering effect on the low-temperature thermal transport in solids van Ostaay, J.A.M. Mukhin, S.I. Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова |
| title | Phonon-kink scattering effect on the low-temperature thermal transport in solids |
| title_full | Phonon-kink scattering effect on the low-temperature thermal transport in solids |
| title_fullStr | Phonon-kink scattering effect on the low-temperature thermal transport in solids |
| title_full_unstemmed | Phonon-kink scattering effect on the low-temperature thermal transport in solids |
| title_short | Phonon-kink scattering effect on the low-temperature thermal transport in solids |
| title_sort | phonon-kink scattering effect on the low-temperature thermal transport in solids |
| topic | Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова |
| topic_facet | Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/176170 |
| work_keys_str_mv | AT vanostaayjam phononkinkscatteringeffectonthelowtemperaturethermaltransportinsolids AT mukhinsi phononkinkscatteringeffectonthelowtemperaturethermaltransportinsolids |