English

Avoided Critical Behavior in O(n) Systems

Statistical Mechanics 2009-10-31 v3 Soft Condensed Matter

Abstract

Long-range frustrating interactions, even if their strength is infinitesimal, can give rise to a dramatic proliferations of ground or near-ground states. As a consequence, the ordering temperature can exhibit a discontinuous drop as a function of the frustration. A simple model of the doped Mott insulator, where the short-range tendency of the holes to phase separate competes with long-range Coulomb effects, exhibits this "avoided critical" behavior. This model may serve as a paradigm for many other systems.

Keywords

Cite

@article{arxiv.cond-mat/9808349,
  title  = {Avoided Critical Behavior in O(n) Systems},
  author = {Zohar Nussinov and Joseph Rudnick and Steven A. Kivelson and L. N. Chayes},
  journal= {arXiv preprint arXiv:cond-mat/9808349},
  year   = {2009}
}

Comments

4 pages, 2 figures

R2 v1 2026-07-22T12:06:15.009Z