The scattering of phonons by infinitely long quantum dislocations segments and the generation of thermal transport anisotropy in a solid threaded by many parallel dislocations
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nanomaterials-10-01711-v2.pdf
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1.13 MB
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cba67b7c027e113da0c394450db091ca
Author(s)
Lund, Fernando
Scheihing-Hitschfeld, Bruno
Date Issued
August 2020
Journal
Nanomaterials
Publisher
Multidisciplinary Digital Publishing Institute
Citation
Lund, Fernando, and Bruno Scheihing-Hitschfeld. "The scattering of phonons by infinitely long quantum dislocations segments and the generation of thermal transport anisotropy in a solid threaded by many parallel dislocations." Nanomaterials 10, 9 (August 2020): 1711 ©2020 Author(s)
Version
Final published version
Abstract
A canonical quantization procedure is applied to the interaction of elastic waves--phonons--with infinitely long dislocations that can oscillate about an equilibrium, straight line, configuration. The interaction is implemented through the well-known Peach-Koehler force. For small dislocation excursions away from the equilibrium position, the quantum theory can be solved to all orders in the coupling constant. We study in detail the quantum excitations of the dislocation line and its interactions with phonons. The consequences for the drag on a dislocation caused by the phonon wind are pointed out. We compute the cross-section for phonons incident on the dislocation lines for an arbitrary angle of incidence. The consequences for thermal transport are explored, and we compare our results, involving a dynamic dislocation, with those of Klemens and Carruthers, involving a static dislocation. In our case, the relaxation time is inversely proportional to frequency, rather than directly proportional to frequency. As a consequence, the thermal transport anisotropy generated on a material by the presence of a highly-oriented array of dislocations is considerably more sensitive to the frequency of each propagating mode, and, therefore, to the temperature of the material.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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DOI of Published Version
https://doi.org/10.3390/nano10091711
