English

Modulated phases in magnetic models frustrated by long-range interactions

Statistical Mechanics 2012-08-16 v1

Abstract

We study an Ising model in one dimension with short range ferromagnetic and long range (power law) antiferromagnetic interactions. We show that the zero temperature phase diagram in a (longitudinal) field H involves a sequence of up and down domains whose size varies continuously with H, between -H_c and H_c which represent the edge of the ferromagnetic up and down phases. The implications of long range interaction in many body systems are discussed.

Keywords

Cite

@article{arxiv.0710.1341,
  title  = {Modulated phases in magnetic models frustrated by long-range interactions},
  author = {Erik Nielsen and R. N. Bhatt and David A. Huse},
  journal= {arXiv preprint arXiv:0710.1341},
  year   = {2012}
}

Comments

5 pages, 3 figures

R2 v1 2026-06-21T09:27:43.405Z