Discovering Classical Spin Liquids by Topological Search of High Symmetry Nets

Paddison, Joseph A.M.; Cliffe, Matthew J.

Abstract

Spin liquids are a paradigmatic example of a nontrivial state of matter. The search for new spin liquids is a key interdisciplinary challenge. Geometrical frustration─where the geometry of the net that the spins occupy precludes the generation of a simple ordered state─is a particularly fruitful way to generate these intrinsically disordered states. Prior focus has been on a handful of high symmetry nets. There are, however, many three-dimensional nets, each of which has the potential to form unique states. In this paper, we investigate the high symmetry nets─those which are both vertex- and edge-transitive─for the simplest possible interaction sets: nearest-neighbor couplings of antiferromagnetic Heisenberg and Ising spins. While the well-known crs (pyrochlore) net is the only nearest-neighbor Heisenberg antiferromagnet which does not order, we identify two new frustrated nets (lcx and thp) possessing finite temperature Heisenberg spin-liquid states with strongly suppressed magnetic ordering and noncollinear ground states. With Ising spins, we identify three new classical spin liquids that do not order down to T/J = 0.01. We highlight materials that contain these high symmetry nets, and which could, if substituted with appropriate magnetic ions, potentially host these unusual states. Our systematic survey will guide searches for novel magnetic phases.

Citation

Paddison, J. A., & Cliffe, M. J. (2024). Discovering Classical Spin Liquids by Topological Search of High Symmetry Nets. ACS Central Science, 10(10), 1821-1828. https://doi.org/10.1021/acscentsci.4c01020

• Journal Article Type: Article
• Acceptance Date: Aug 6, 2024
• Online Publication Date: Sep 11, 2024
• Publication Date: Sep 11, 2024
• Deposit Date: Sep 30, 2024
• Publicly Available Date: Oct 2, 2024
• Journal: ACS Central Science
• Electronic ISSN: 2374-7951
• Publisher: American Chemical Society
• Peer Reviewed: Peer Reviewed
• Volume: 10
• Issue: 10
• Pages: 1821-1828
• DOI: https://doi.org/10.1021/acscentsci.4c01020
• Keywords: Group theory; Liquids; Magnetic properties; Order; Quantum mechanics
• Public URL: https://nottingham-repository.worktribe.com/output/39465467
• Publisher URL: https://pubs.acs.org/doi/10.1021/acscentsci.4c01020