English

Magnetic susceptibility of diluted pyrochlore and SCGO antiferromagnets

Statistical Mechanics 2009-10-31 v1 Disordered Systems and Neural Networks Materials Science

Abstract

We investigate the magnetic susceptibility of the classical Heisenberg antiferromagnet with nearest-neighbour interactions on the geometrically frustrated pyrochlore lattice, for a pure system and in the presence of dilution with nonmagnetic ions. Using the fact that the correlation length in this system for small dilution is always short, we obtain an approximate but accurate expression for the magnetic susceptibility at all temperatures. We extend this theory to the compound SrCr_{9-9x}Ga_{3+9x}O_{19} (SCGO) and provide an explanation of the phenomenological model recently proposed by Schiffer and Daruka [Phys. Rev. B56, 13712 (1997)].

Keywords

Cite

@article{arxiv.cond-mat/9906421,
  title  = {Magnetic susceptibility of diluted pyrochlore and SCGO antiferromagnets},
  author = {R. Moessner and A. J. Berlinsky},
  journal= {arXiv preprint arXiv:cond-mat/9906421},
  year   = {2009}
}

Comments

4 pages, Latex, 4 postscript figures automatically included