Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2005-11-12
Phys. Rev. Lett. 97, 137204 (2006)
Physics
Condensed Matter
Disordered Systems and Neural Networks
To appear in Phys. Rev. Lett
Scientific paper
10.1103/PhysRevLett.97.137204
Systems in which the dipolar energy dominates the magnetic interaction, and the crystal field generates strong anisotropy favoring the longitudinal interaction terms, are considered. Such systems in external magnetic field are expected to be a good experimental realization of the transverse field Ising model. With random interactions this model yields a spin glass to paramagnet phase transition as function of the transverse field. Here we show that the off-diagonal dipolar interaction, although effectively reduced, destroys the spin glass order at any finite transverse field. Moreover, the resulting correlation length is shown to be small near the crossover to the paramagnetic phase, in agreement with the behavior of the nonlinear susceptibility in the experiments on $\LHx$. Thus, we argue that the in these experiments a cross-over to the paramagnetic phase, and not quantum criticality, was observed.
Laflorencie Nicolas
Schechter Moshe
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