Frustrated order by disorder: The pyrochlore anti-ferromagnet with bond disorder

Autor: L. Bellier-Castella, P. C. W. Holdsworth, M. J. P. Gingras, R. Moessner
Rok vydání: 2001
Předmět:
Zdroj: Canadian Journal of Physics. 79:1365-1371
ISSN: 1208-6045
0008-4204
DOI: 10.1139/p01-098
Popis: The classical Heisenberg anti-ferromagnet on the pyrochlore lattice is macroscopically and continuously degenerate and the system remains disordered at all temperatures, even in the presence of weak dilution with nonmagnetic ions. We show that, in contrast, weak-bond disorder lifts the ground-state degeneracy in favour of locally collinear spin configurations. We present a proof that for a single tetrahedron the ground state is perfectly collinear but identify two mechanisms that preclude the establishment of a globally collinear state; one due to frustration and the other due to higher order effects. We thus obtain a rugged energy landscape, which is necessary to account for the glassy phenomena found in real systems such as the pyrochlore Y2Mo2O7 recently reported by Booth et al. (Phys. Rev. B: Condens. Matter Mater. Phys. 62, R755 (2000).) to contain a substantial degree of bond disorder. PACS Nos.: 75.10.Hk, 75.40.Mg, 75.40.Gb
Databáze: OpenAIRE