Systematics of group-nonsubgroup transitions: Square to triangle transition

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Abstract

A variety of structural transitions in nature do not involve a group-subgroup relationship. A two-dimensional example is the transition between a square lattice and a triangular lattice, which is known to occur in vortex lattices, Wigner crystals, skyrmion lattices, colloids, diblock copolymers, etc. A three-dimensional analog is the shock-induced BCC to HCP transition in iron. We develop a systematic technique that incorporates site symmetry and yields displacive transition mechanisms and free energy forms for such structural changes. This procedure is demonstrated for the square to triangle transition.

Original languageEnglish
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume64
Issue number6
DOIs
StatePublished - 2001
Externally publishedYes

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