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Open AccessArticle

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

1
Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago 8370449, Chile
2
CIMAT, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago 8370449, Chile
3
Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
*
Author to whom correspondence should be addressed.
Nanomaterials 2020, 10(9), 1711; https://doi.org/10.3390/nano10091711
Received: 28 July 2020 / Revised: 16 August 2020 / Accepted: 24 August 2020 / Published: 29 August 2020
(This article belongs to the Special Issue Advances in Nanophononics)
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. View Full-Text
Keywords: thermal transport; dislocations; quantum field theory thermal transport; dislocations; quantum field theory
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MDPI and ACS Style

Lund, F.; Scheihing-Hitschfeld, B. 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 2020, 10, 1711.

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