Classical Antiferromagnetism on Torquato-Stillinger Packings

Abstract

Torquato and Stillinger have constructed a new family of frustrated lattices by unusually high dilution of close packed structures while preserving structural stability. We show that an infinite subclass of these structures has an underlying topology that greatly simplifies determination of their magnetic phase structure for nearest neighbor antiferromagnetism interactions and O(N) spins.

References in corpus (5)

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• Monte Carlo renormalization group study of the Heisenberg and XY antiferromagnet on the stacked triangular lattice and the chiral ${\varphi }^4$ model
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Cited by in corpus (3)

• Jammed Hard-Particle Packings: From Kepler to Bernal and Beyond
• Basic Understanding of Condensed Phases of Matter via Packing Models
• Correlations in randomly stacked solids