English

Magnets with strong geometric frustration

Statistical Mechanics 2009-10-31 v1 Disordered Systems and Neural Networks Strongly Correlated Electrons

Abstract

A non-technical introduction to the theory of magnets with strong geometric frustration is given, concentrating on magnets on corner-sharing (kagome, pyrochlore, SCGO and GGG) lattices. Their rich behaviour is traced back to a large ground-state degeneracy in model systems, which renders them highly unstable towards perturbations. A systematic classification according to properties of their ground states is discussed. Other topics addressed in this overview article include a general theoretical framework for thermal order by disorder; the dynamics of how the vast regions of phase space accessible at low temperature are explored; the origin of the featureless magnetic susceptibility fingerprint of geometric frustration; the role of perturbations; and spin ice. The rich field of quantum frustrated magnets is also touched on.

Keywords

Cite

@article{arxiv.cond-mat/0010301,
  title  = {Magnets with strong geometric frustration},
  author = {R. Moessner},
  journal= {arXiv preprint arXiv:cond-mat/0010301},
  year   = {2009}
}

Comments

Key-note theory talk of Conference on Highly Frustrated Magnetism (HFM-2000) in Waterloo, Canada, June 2000; 8 pages

R2 v1 2026-07-22T10:09:43.936Z