Phase diagram of the dilute magnet LiHo_xY_{1-x}F_4

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dc.creatorBiltmo, A.
dc.creatorHenelius, P.
dc.date2007-04-27
dc.date2007-04-29
dc.date.accessioned2026-07-07T10:12:50Z
dc.date.available2026-07-07T10:12:50Z
dc.descriptionWe study the effective long-range Ising dipole model with a local exchange interaction appropriate for the dilute magnetic compound LiHo_{x}Y_{1-x}F_4. Our calculations yield a value of 0.12 K for the nearest neighbor exchange interaction. Using a Monte Carlo method we calculate the phase boundary T_c(x) between the ferromagnetic and paramagnetic phases. We demonstrate that the experimentally observed linear decrease in T_c with dilution is not the simple mean-field result, but a combination of the effects of fluctuations, the exchange interaction and the hyperfine coupling. Furthermore, we find a critical dilution x_c=0.21(2), below which there is no ordering. In agreement with recent Monte Carlo simulations on a similar model, we find no evidence of the experimentally observed freezing of the glassy state in our calculation. We apply the theory of Stephen and Aharony to LiHo_{x}Y_{1-x}F_4 and find that the theory does predict a finite-temperature freezing of the spin glass. Reasons for the discrepancies are discussed.
dc.description5 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0704.3656
dc.identifierhttp://arxiv.org/abs/0704.3656
dc.identifierPhys. Rev. B 76, 054423 (2007)
dc.identifierdoi:10.1103/PhysRevB.76.054423
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172319
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titlePhase diagram of the dilute magnet LiHo_xY_{1-x}F_4
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