Compatibility of distortion fields caused by topological defects in 2D latties

Details Compatibility of distortion fields caused by topological defects in 2D latties Compatibility of distortion fields caused by topological defects in 2D latties

1998-12-23

arxiv.org/abs/math-ph/9812023v1

Physics

Mathematical Physics

8 pages, no figures PACS. 02.40.Re - Algebraic topology PACS. 02.40.Ma - Global differential geometry PACS. 61.72.Bb - Theorie

Scientific paper

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 non-trivial is in the affirmative.

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