Ian Jauslin

Crystalline ordering and large-fugacity expansion for hard-core lattice particle systems

Great Lakes Mathematical Physics Meeting 2017, East Lansing, Michigan, USA

June 24, 2017


I present a class of hard-core lattice particle systems which exhibit a crystalline phase at high densities. The key ingredient of the proof is to show that the Gaunt-Fisher high-fugacity expansion is convergent for such models, which we acomplish using methods from Pirogov-Sinai theory. Crystallization can then be proved by studying the lower order terms of the expansion and bounding the remainder.

This is joint work with Joel L. Lebowitz.



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