English

Continuous Versus First Order Transitions in Compressible Diluted Magnets

Condensed Matter 2015-06-25 v1

Abstract

The interplay between disorder and compressibility in Ising magnets is studied. Contrary to pure systems in which a weak compressibility drives the transition first order, we find from a renormalization group analysis that it has no effect on disordered systems which keep undergoing continuous transition with rigid random-bond Ising model critical exponents. The mean field calculation exhibits a dilution-dependent tricritical point beyond which, at stronger compressibility the transition is first order. The different behavior of XY and Heisenberg magnets is discussed.

Keywords

Cite

@article{arxiv.cond-mat/9606121,
  title  = {Continuous Versus First Order Transitions in Compressible Diluted Magnets},
  author = {Yonathan Shapir and Serge Galam},
  journal= {arXiv preprint arXiv:cond-mat/9606121},
  year   = {2015}
}

Comments

16 pages, latex, 2 figures not included

R2 v1 2026-07-22T11:53:30.878Z