Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1997-07-30
Phys. Rev. B, 57 (1998) 269
Physics
Condensed Matter
Disordered Systems and Neural Networks
8 pages, 12 Postscript figures
Scientific paper
10.1103/PhysRevB.57.269
Monte Carlo simulations have been used to study a discretized Heisenberg ferromagnet (FM) in a random field on simple cubic lattices. The spin variable on each site is chosen from the twelve [110] directions. The random field has infinite strength and a random direction on a fraction x of the sites of the lattice, and is zero on the remaining sites. For x = 0 there are two phase transitions. At low temperatures there is a [110] FM phase, and at intermediate temperature there is a [111] FM phase. For x > 0 there is an intermediate phase between the paramagnet and the ferromagnet, which is characterized by a |k|^(-3) decay of two-spin correlations, but no true FM order. The [111] FM phase becomes unstable at a small value of x. At x = 1/8 the [110] FM phase has disappeared, but the power-law correlated phase survives.
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