Nonperturbative Quantum Nature of the Dislocation–Phonon Interaction
Abstract
Despite the long history of dislocation–phonon interaction studies, there are many problems that have not been fully resolved during this development. These include an incompatibility between a perturbative approach and the long-range nature of a dislocation, the relation between static and dynamic scattering, and their capability of dealing with thermal transport phenomena for bulk material only. Here in this paper, by utilizing a fully quantized dislocation field, which we called a “dislon”, a phonon interacting with a dislocation is renormalized as a quasi-phonon, with shifted quasi-phonon energy, and accompanied by a finite quasi-phonon lifetime, which are reducible to classical results. A series of outstanding legacy issues including those above can be directly explained within this unified phonon renormalization approach. For instance, a renormalized phonon naturally resolves the decade-long debate between dynamic and static dislocation–phonon scattering approaches, as two limiting cases. In particular, at nanoscale, both the dynamic and static approaches break down, while the present renormalization approach remains valid by capturing the size effect, showing good agreement with lattice dynamics simulations.
- Authors:
-
[1];
[1];
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Department of Mechanical Engineering
- Brookhaven National Lab. (BNL), Upton, NY (United States). Condensed Matter Physics and Material Sciences Department
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Department of Physics
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Department of Physics and Department of Electrical Engineering and Computer Sciences
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States); Energy Frontier Research Centers (EFRC) (United States). Solid-State Solar-Thermal Energy Conversion Center (S3TEC)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1358012
- Report Number(s):
- BNL-113818-2017-JA
Journal ID: ISSN 1530-6984; R&D Project: MA015MACA; KC0201010
- Grant/Contract Number:
- SC0012704; SC0001299; FG02-09ER46577; SC0012567
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nano Letters
- Additional Journal Information:
- Journal Volume: 17; Journal Issue: 3; Journal ID: ISSN 1530-6984
- Publisher:
- American Chemical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Dislocations; dislocation−phonon interaction; effective field theory; phonon transport; renormalization; thermal conductivity
Citation Formats
Li, Mingda, Ding, Zhiwei, Meng, Qingping, Zhou, Jiawei, Zhu, Yimei, Liu, Hong, Dresselhaus, M. S., and Chen, Gang. Nonperturbative Quantum Nature of the Dislocation–Phonon Interaction. United States: N. p., 2017.
Web. doi:10.1021/acs.nanolett.6b04756.
Li, Mingda, Ding, Zhiwei, Meng, Qingping, Zhou, Jiawei, Zhu, Yimei, Liu, Hong, Dresselhaus, M. S., & Chen, Gang. Nonperturbative Quantum Nature of the Dislocation–Phonon Interaction. United States. https://doi.org/10.1021/acs.nanolett.6b04756
Li, Mingda, Ding, Zhiwei, Meng, Qingping, Zhou, Jiawei, Zhu, Yimei, Liu, Hong, Dresselhaus, M. S., and Chen, Gang. Tue .
"Nonperturbative Quantum Nature of the Dislocation–Phonon Interaction". United States. https://doi.org/10.1021/acs.nanolett.6b04756. https://www.osti.gov/servlets/purl/1358012.
@article{osti_1358012,
title = {Nonperturbative Quantum Nature of the Dislocation–Phonon Interaction},
author = {Li, Mingda and Ding, Zhiwei and Meng, Qingping and Zhou, Jiawei and Zhu, Yimei and Liu, Hong and Dresselhaus, M. S. and Chen, Gang},
abstractNote = {Despite the long history of dislocation–phonon interaction studies, there are many problems that have not been fully resolved during this development. These include an incompatibility between a perturbative approach and the long-range nature of a dislocation, the relation between static and dynamic scattering, and their capability of dealing with thermal transport phenomena for bulk material only. Here in this paper, by utilizing a fully quantized dislocation field, which we called a “dislon”, a phonon interacting with a dislocation is renormalized as a quasi-phonon, with shifted quasi-phonon energy, and accompanied by a finite quasi-phonon lifetime, which are reducible to classical results. A series of outstanding legacy issues including those above can be directly explained within this unified phonon renormalization approach. For instance, a renormalized phonon naturally resolves the decade-long debate between dynamic and static dislocation–phonon scattering approaches, as two limiting cases. In particular, at nanoscale, both the dynamic and static approaches break down, while the present renormalization approach remains valid by capturing the size effect, showing good agreement with lattice dynamics simulations.},
doi = {10.1021/acs.nanolett.6b04756},
journal = {Nano Letters},
number = 3,
volume = 17,
place = {United States},
year = {Tue Jan 31 00:00:00 EST 2017},
month = {Tue Jan 31 00:00:00 EST 2017}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 49 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
The interaction of kinks and elastic waves
journal, March 1962
- Eshelby, John Douglas
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 266, Issue 1325, p. 222-246
Theory of Mechanical Damping Due to Dislocations
journal, June 1956
- Granato, A.; Lücke, K.
- Journal of Applied Physics, Vol. 27, Issue 6
Elastic wave propagation through a random array of dislocations
journal, July 2004
- Maurel, Agnes; Mercier, Jean-François; Lund, Fernando
- Physical Review B, Vol. 70, Issue 2
Effect of Dislocations on the Low Temperature Thermal Conductivity in Germanium
journal, April 1974
- Sato, Masayoshi; Sumino, Koji
- Journal of the Physical Society of Japan, Vol. 36, Issue 4
The Scattering of Low-Frequency Lattice Waves by Static Imperfections
journal, December 1955
- Klemens, P. G.
- Proceedings of the Physical Society. Section A, Vol. 68, Issue 12
Anisotropic phonon-dislocation scattering in deformed LiF
journal, May 1983
- Northrop, G. A.; Cotts, E. J.; Anderson, A. C.
- Physical Review B, Vol. 27, Issue 10
Scattering of an elastic wave by a single dislocation
journal, June 2004
- Maurel, Agnès; Mercier, Jean-François; Lund, Fernando
- The Journal of the Acoustical Society of America, Vol. 115, Issue 6
Dislocation interaction with C in α-Fe: A comparison between atomic simulations and elasticity theory
journal, August 2008
- Clouet, Emmanuel; Garruchet, Sébastien; Nguyen, Hoang
- Acta Materialia, Vol. 56, Issue 14
Direct observation of confined acoustic phonon polarization branches in free-standing semiconductor nanowires
journal, November 2016
- Kargar, Fariborz; Debnath, Bishwajit; Kakko, Joona-Pekko
- Nature Communications, Vol. 7, Issue 1
Atomistic modeling of mechanical behavior
journal, November 2003
- Li, Ju; Ngan, Alfonso H. W.; Gumbsch, Peter
- Acta Materialia, Vol. 51, Issue 19
Electron energy can oscillate near a crystal dislocation
journal, January 2017
- Li, Mingda; Cui, Wenping; Dresselhaus, Mildred S.
- New Journal of Physics, Vol. 19, Issue 1
Frictional Force Acting on a Dislocation – Fluttering Mechanism –
journal, February 1974
- Ninomiya, Toshiyuki
- Journal of the Physical Society of Japan, Vol. 36, Issue 2
Der Einfluß von Fehlstellen auf die Gitterwärmeleitfähigkeit bei tiefen Temperaturen
journal, January 1962
- Bross, H.
- physica status solidi (b), Vol. 2, Issue 5
The influence of dislocations on the low-temperature lattice thermal conductivity of crystals
journal, May 1978
- Eckhardt, D.; Wasserbäch, W.
- Philosophical Magazine A, Vol. 37, Issue 5
Dynamic dragging of dislocations
journal, January 1975
- Al'shitz, V. A.; Indenbom, V. L.
- Soviet Physics Uspekhi, Vol. 18, Issue 1
Phonon Component of Dislocation Drag
journal, October 1970
- Brailsford, A. D.
- Journal of Applied Physics, Vol. 41, Issue 11
Theory of Thermal Conductivity of Solids at Low Temperatures
journal, January 1961
- Carruthers, Peter
- Reviews of Modern Physics, Vol. 33, Issue 1
Phonon heat conduction in a semiconductor nanowire
journal, March 2001
- Zou, Jie; Balandin, Alexander
- Journal of Applied Physics, Vol. 89, Issue 5
Phonon-Dislocation Scattering and Low-Temperature Lattice Thermal Conductivity of Niobium and Tantalum Single Crystals Deformed at Low Temperatures
journal, April 1985
- Wasserbäch, W.
- physica status solidi (b), Vol. 128, Issue 2
Effect of Dislocations on the Thermal Conductivity of Lithium Fluoride
journal, March 1959
- Sproull, R. L.; Moss, M.; Weinstock, H.
- Journal of Applied Physics, Vol. 30, Issue 3
Reconsideration of Continuum Thermomechanical Quantities in Atomic Scale Simulations
journal, May 2008
- Webb, Edmund B.; Zimmerman, Jonathan A.; Seel, Steven C.
- Mathematics and Mechanics of Solids, Vol. 13, Issue 3-4
Interaction between elastic waves and prismatic dislocation loops
journal, September 2009
- Rodríguez, Natalia; Maurel, Agnès; Pagneux, Vincent
- Journal of Applied Physics, Vol. 106, Issue 5
Thermal transport in deformed lithium fluoride
journal, December 1981
- Cotts, E. J.; Miliotis, D. M.; Anderson, A. C.
- Physical Review B, Vol. 24, Issue 12
Phonon-dislocation interaction in deformed lithium fluoride
journal, July 1989
- Yang, In-Sang; Anderson, A. C.; Kim, Y. S.
- Physical Review B, Vol. 40, Issue 2
Effect of independent and coupled vibrations of dislocations on low-temperature thermal conductivity in alkali halides
journal, February 1982
- Kneeze, Gary A.; Granato, A. V.
- Physical Review B, Vol. 25, Issue 4
Phonon conductivity of plastically deformed crystals: Role of stacking faults and dislocations
journal, November 2006
- Singh, B. K.; Menon, V. J.; Sood, K. C.
- Physical Review B, Vol. 74, Issue 18
Reradiation and viscous dislocation damping
journal, August 1970
- Garber, J. A.; Granato, A. V.
- Journal of Physics and Chemistry of Solids, Vol. 31, Issue 8
Dislocation Vibration and Phonon Scattering
journal, September 1968
- Ninomiya, Toshiyuki
- Journal of the Physical Society of Japan, Vol. 25, Issue 3
Atomistic/continuum coupling in computational materials science
journal, April 2003
- Curtin, W. A.; Miller, Ronald E.
- Modelling and Simulation in Materials Science and Engineering, Vol. 11, Issue 3
Anderson Localization of Thermal Phonons Leads to a Thermal Conductivity Maximum
journal, December 2016
- Mendoza, Jonathan; Chen, Gang
- Nano Letters, Vol. 16, Issue 12
Interaction of Elastic Waves with Dislocations
journal, January 2012
- Maurel, Agnes; Lund, Fernando; Barra, Felipe
- MRS Proceedings, Vol. 1404
Works referencing / citing this record:
Theory of Electron-Phonon-Dislon Interacting System - Toward a Quantized Theory of Dislocations
text, January 2017
- Li, Mingda; Tsurimaki, Yoichiro; Meng, Qingping
- arXiv
Dislocation-induced thermal transport anisotropy in single-crystal group-III nitride films
text, January 2018
- Sun, Bo; Haunschild, Georg; Polanco, Carlos
- arXiv
Strong phonon localization in PbTe with dislocations and large deviation to Matthiessen’s rule
journal, October 2019
- Sun, Yandong; Zhou, Yanguang; Han, Jian
- npj Computational Materials, Vol. 5, Issue 1
Molecular dynamics simulations of the effect of dislocations on the thermal conductivity of iron
journal, January 2020
- Sun, Yandong; Zhou, Yanguang; Han, Jian
- Journal of Applied Physics, Vol. 127, Issue 4
Perspective on ab initio phonon thermal transport
journal, August 2019
- Lindsay, Lucas; Katre, Ankita; Cepellotti, Andrea
- Journal of Applied Physics, Vol. 126, Issue 5
Phonon properties and thermal conductivity from first principles, lattice dynamics, and the Boltzmann transport equation
journal, January 2019
- McGaughey, Alan J. H.; Jain, Ankit; Kim, Hyun-Young
- Journal of Applied Physics, Vol. 125, Issue 1
Theory of electron–phonon–dislon interacting system—toward a quantized theory of dislocations
journal, February 2018
- Li, Mingda; Tsurimaki, Yoichiro; Meng, Qingping
- New Journal of Physics, Vol. 20, Issue 2
Quantized dislocations
journal, January 2019
- Li, Mingda
- Journal of Physics: Condensed Matter, Vol. 31, Issue 8
High‐Performance Thermoelectric SnSe: Aqueous Synthesis, Innovations, and Challenges
journal, February 2020
- Shi, Xiao‐Lei; Tao, Xinyong; Zou, Jin
- Advanced Science, Vol. 7, Issue 7
Oscillatory deviations from Matthiessen’s rule due to interacting dislocations
journal, July 2017
- Fu, Chu-Liang; Li, Mingda
- Journal of Physics: Condensed Matter, Vol. 29, Issue 32
Nano-microstructural control of phonon engineering for thermoelectric energy harvesting
journal, March 2018
- Liu, Zihang; Mao, Jun; Liu, Te-Huan
- MRS Bulletin, Vol. 43, Issue 3
Dislocation-induced thermal transport anisotropy in single-crystal group-III nitride films
journal, December 2018
- Sun, Bo; Haunschild, Georg; Polanco, Carlos
- Nature Materials, Vol. 18, Issue 2