Attraction Controls the Inversion of Order by Disorder

Abstract

We show how including attraction in interparticle interactions reverses the effect of fluctuations in ordering of a prototypical artificial frustrated system. Buckled colloidal monolayers exhibit the same ground state as the Ising antiferromagnet on a deformable triangular lattice, but it is unclear if ordering in the two systems is driven by the same geometric mechanism. By a real-space expansion we find that for buckled colloids bent stripes constitute the stable phase, whereas in the Ising antiferromagnet straight stripes are favored. For generic pair potentials we show that attraction governs this selection mechanism, in a manner that is linked to local packing considerations. This supports the geometric origin of entropy in jammed sphere packings and provides a tool for designing self-assembled colloidal structures.

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Cited by in corpus (5)

• Ice Rule and Emergent Frustration in Particle Ice and Beyond
• Response evolution of mechanical metamaterials under architectural transformations
• Attraction controls the entropy of fluctuations in isosceles triangular networks
• Devitrification and Melting Dynamics in Vapor Deposited Water Ice
• Defect Positioning in Combinatorial Metamaterials