Electron energy can oscillate near a crystal dislocation

Crystal dislocations govern the plastic mechanical properties of materials but also affect the electrical and optical properties. However, a fundamental and quantitative quantum field theory of a dislocation has remained undiscovered for decades. Here we present an exactly-solvable one-dimensional q...

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Main Authors: Mingda Li, Wenping Cui, Mildred S Dresselhaus, Gang Chen
Format: Article
Language:English
Published: IOP Publishing 2017-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/aa5710
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author Mingda Li
Wenping Cui
Mildred S Dresselhaus
Gang Chen
author_facet Mingda Li
Wenping Cui
Mildred S Dresselhaus
Gang Chen
author_sort Mingda Li
collection DOAJ
description Crystal dislocations govern the plastic mechanical properties of materials but also affect the electrical and optical properties. However, a fundamental and quantitative quantum field theory of a dislocation has remained undiscovered for decades. Here we present an exactly-solvable one-dimensional quantum field theory of a dislocation, for both edge and screw dislocations in an isotropic medium, by introducing a new quasiparticle which we have called the ‘dislon’. The electron-dislocation relaxation time can then be studied directly from the electron self-energy calculation, which is reducible to classical results. In addition, we predict that the electron energy will experience an oscillation pattern near a dislocation. Compared with the electron density’s Friedel oscillation, such an oscillation is intrinsically different since it exists even with only single electron is present. With our approach, the effect of dislocations on materials’ non-mechanical properties can be studied at a full quantum field theoretical level.
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spelling doaj.art-1c705856bec347d5810f189d00cbc4942023-08-08T14:33:43ZengIOP PublishingNew Journal of Physics1367-26302017-01-0119101303310.1088/1367-2630/aa5710Electron energy can oscillate near a crystal dislocationMingda Li0Wenping Cui1Mildred S Dresselhaus2Gang Chen3Department of Mechanical Engineering, MIT, Cambridge, MA 02139, United StatesDepartment of Physics, Boston College, Chestnut Hill, MA 02467, United States; Department of Physics, Boston University, Boston, MA 02215, United StatesDepartment of Physics and Department of Electrical Engineering and Computer Sciences, MIT, MA 02139, United StatesDepartment of Mechanical Engineering, MIT, Cambridge, MA 02139, United StatesCrystal dislocations govern the plastic mechanical properties of materials but also affect the electrical and optical properties. However, a fundamental and quantitative quantum field theory of a dislocation has remained undiscovered for decades. Here we present an exactly-solvable one-dimensional quantum field theory of a dislocation, for both edge and screw dislocations in an isotropic medium, by introducing a new quasiparticle which we have called the ‘dislon’. The electron-dislocation relaxation time can then be studied directly from the electron self-energy calculation, which is reducible to classical results. In addition, we predict that the electron energy will experience an oscillation pattern near a dislocation. Compared with the electron density’s Friedel oscillation, such an oscillation is intrinsically different since it exists even with only single electron is present. With our approach, the effect of dislocations on materials’ non-mechanical properties can be studied at a full quantum field theoretical level.https://doi.org/10.1088/1367-2630/aa5710quantum field theorycrystal dislocationFriedel oscillationdisordered system03.70.+k61.72.Lk
spellingShingle Mingda Li
Wenping Cui
Mildred S Dresselhaus
Gang Chen
Electron energy can oscillate near a crystal dislocation
New Journal of Physics
quantum field theory
crystal dislocation
Friedel oscillation
disordered system
03.70.+k
61.72.Lk
title Electron energy can oscillate near a crystal dislocation
title_full Electron energy can oscillate near a crystal dislocation
title_fullStr Electron energy can oscillate near a crystal dislocation
title_full_unstemmed Electron energy can oscillate near a crystal dislocation
title_short Electron energy can oscillate near a crystal dislocation
title_sort electron energy can oscillate near a crystal dislocation
topic quantum field theory
crystal dislocation
Friedel oscillation
disordered system
03.70.+k
61.72.Lk
url https://doi.org/10.1088/1367-2630/aa5710
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AT wenpingcui electronenergycanoscillatenearacrystaldislocation
AT mildredsdresselhaus electronenergycanoscillatenearacrystaldislocation
AT gangchen electronenergycanoscillatenearacrystaldislocation