Crystalline ordering and largefugacity expansion for hardcore lattice particle systems
Crystalline ordering and largefugacity expansion for hardcore lattice particle systems

Ian Jauslin, IAS
Jadwin Hall 343
I will present a class of hardcore lattice particle systems which exhibit a crystalline phase at high densities. The key ingredient of the proof is to show that the GauntFisher highfugacity expansion is convergent for such models, which we acomplish using methods from PirogovSinai 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.