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Quantum Treatment of Lattice Distortion around a Dislocation
Author(s) -
Gallina V.,
Galotto C. P.,
Omini M.
Publication year - 1965
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.19650080125
Subject(s) - dislocation , condensed matter physics , gravitational singularity , dislocation creep , quantization (signal processing) , lattice (music) , neighbourhood (mathematics) , physics , quantum mechanics , mathematics , mathematical analysis , algorithm , acoustics
A new method is proposed for calculating the displacements due to an edge or screw dislocation in a crystal. The dislocation is represented by a perturbation in the phonon state of a perfect crystal and the treatment is carried out by the use of second quantization. The results agree with the classical ones at large distances from the dislocation core but show a quite different structure in the neighbourhood of the core which eliminates the singularities in the former theory.