English

Critical Hysteresis in Random Field XY and Heisenberg Models

Disordered Systems and Neural Networks 2015-05-19 v2 Statistical Mechanics

Abstract

We study zero-temperature hysteresis in random-field XY and Heisenberg models in the zero-frequency limit of a cyclic driving field. We consider three distributions of the random field and present exact solutions in the mean field limit. The results show a strong effect of the form of disorder on critical hysteresis as well as the shape of hysteresis loops. A discrepancy with an earlier study based on the renormalization group is resolved.

Keywords

Cite

@article{arxiv.1007.4265,
  title  = {Critical Hysteresis in Random Field XY and Heisenberg Models},
  author = {Prabodh Shukla and R S Kharwanlang},
  journal= {arXiv preprint arXiv:1007.4265},
  year   = {2015}
}

Comments

10 pages, 6 figures; this is published version (added some text and references)