Theory of Electron-Phonon-Dislon Interacting System - Toward a Quantized Theory of Dislocations

Abstract

We provide a comprehensive theoretical framework to study how crystal dislocations influence the functional properties of materials, based on the idea of quantized dislocation, namely a "dislon". In contrast to previous work on dislons which focused on exotic phenomenology, here we focus on the theoretical structure and computational power. We first provide a pedagogical introduction of the necessity and benefits taking the dislon approach, that why the dislon Hamiltonian takes its current form. Then we study the electron-dislocation and phonon-dislocation scattering problems, using the dislon formalism. Both the effective electron and phonon theories are derived, from which the role of dislocations on electronic and phononic transport properties is computed. Comparing with the traditional dislocation scattering studies which are intrinsically single-particle, low-order perturbation and classical quenched defect in nature, the dislon theory not only allows easy incorporation of quantum many-body effects such as electron correlation, electron-phonon interaction and higher-order scattering events, but also allows proper consideration of dislocation's long-range strain field and the dynamic aspects on equal footing. This means that instead of developing individual model for a specific dislocation scattering problem, the dislon theory allows for the calculation of electronic structure and electrical transport, thermal transport, optical and superconducting properties, etc., under one unified theory. Furthermore, the dislon theory has another advantage over empirical models in that it requires no fitting parameters. The dislon theory could serve as a major computational tool to understand the role of dislocations on multiple materials' functional properties at an unprecedented level of clarity, and may have wide applications in dislocated energy materials.

26 pages, 17 sections and 4 appendices. Comments are welcome

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• Helical Metal Inside a Topological Band Insulator
• Rotation of quantum impurities in the presence of a many-body environment
• The Non-Perturbative Quantum Nature of the Dislocation-Phonon Interaction
• Quasiparticle approach to molecules interacting with quantum solvents
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Cited by in corpus (5)

• Reduced thermal conductivity of epitaxial GaAs on Si due to symmetry-breaking biaxial strain
• Scattering of phonons by quantum dislocations segments in an elastic continuum
• Aluminum Relaxation as the Source of Excess Low Energy Events in Low Threshold Calorimeters
• 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
• Dislocation Patterning as a Mechanism for Flat Band Formation