2013/05/31 by Koushik Viswanathan, Srinivasan Chandrasekar
Biochemistry, Genetics and Molecular Biology · Engineering · Materials Science · Physics and Astronomy · #Advanced Electron Microscopy Techniques and Applications #Burgers vector #Covariant transformation #Dislocation #Electrical resistivity and conductivity #Electromagnetic Effects on Materials #Electron #Formalism (music) #Lattice (music) #Microstructure and mechanical properties #Scattering #Thermal conduction #cond-mat.mtrl-sci
paper · pdf · doi:10.1063/1.4904934
published as Journal of Applied Physics 116.24 (2014): 245103 · 20 pages, 5 figures
openalex publication_date 2014/12/28 · arxiv created 2015/01/30 · arxiv updated 2015/02/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The problem of conduction electron scattering by inhomogeneous crystal lattice strains is addressed using a tight-binding formalism and the differential geometric treatment of deformations in solids. In this approach, the relative positions of neighboring atoms in a strained lattice are naturally taken into account, even in the presence of crystal dislocations, resulting in a fully covariant Schrödinger equation in the continuum limit. Unlike previous work, the developed formalism is applicable to cases involving purely elastic strains as well as discrete and continuous distributions of dislocations—in the latter two cases, it clearly demarcates the effects of the dislocation strain field and core. It also differentiates between elastic and plastic strain contributions, respectively. The electrical resistivity due to the strain field of edge dislocations is then evaluated and the resulting numerical estimate for Cu shows good agreement with reported experimental values. This indicates that the electrical resistivity of edge dislocations in metals is not entirely due to the core, contrary to current models. Application to the study of strain effects in constrained quantum systems is also discussed.