Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2007-12-05
Physics
Condensed Matter
Other Condensed Matter
12 pages, 12 figures, RevTeX4
Scientific paper
We consider a classical spin model, of two-dimensional spins, with continuous symmetry, and investigate the effect of a symmetry breaking unidirectional quenched disorder on the magnetization of the system. We work in the mean field regime. We show, by numerical simulations and by perturbative calculations in the low as well as in the high temperature limits, that although the continuous symmetry of the magnetization is lost, the system still magnetizes, albeit with a lower value as compared to the case without disorder. The critical temperature at which the system starts magnetizing, also decreases with the introduction of disorder. However, with the introduction of an additional constant magnetic field, the component of magnetization in the direction that is transverse to the disorder field increases with the introduction of the quenched disorder. We discuss the same effects also for three-dimensional spins.
De Aditi Sen
Lewenstein Maciej
Sen Ujjwal
Wehr Jan
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