Classical Antiferromagnetism on Torquato-Stillinger Packings

TL;DR

This paper investigates a subclass of highly diluted, structurally stable lattices from Torquato-Stillinger packings, revealing simplified methods to determine their magnetic phases under antiferromagnetic interactions.

Contribution

It introduces a new approach to analyze magnetic phases in a specific subclass of frustrated lattices derived from Torquato-Stillinger packings.

Findings

Simplified determination of magnetic phase structure for certain lattices.

Identification of an infinite subclass with tractable topology.

Potential applications in understanding frustrated magnetic systems.

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.