Compatibility of distortion fields caused by topological defects in 2D latties
Abstract
Topological defects in crystalline lattices are considered. In relation to physical realizability of such defects, criteria for geometric compatibility of the lattice distortions are formulated. For 2D lattices it is shown that the answer to the question of existence of distortion fields which are both geometrically compatible and homotopically nontrivial is in the affirmative.
 Publication:

arXiv eprints
 Pub Date:
 December 1998
 DOI:
 10.48550/arXiv.mathph/9812023
 arXiv:
 arXiv:mathph/9812023
 Bibcode:
 1998math.ph..12023R
 Keywords:

 Mathematical Physics;
 Mathematics  Mathematical Physics
 EPrint:
 8 pages, no figures PACS. 02.40.Re  Algebraic topology PACS. 02.40.Ma  Global differential geometry PACS. 61.72.Bb  Theories and models of crystal defects