Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2006-08-06
Phys. Rev. Lett. 97, 237203 (2006)
Physics
Condensed Matter
Disordered Systems and Neural Networks
Version #2. Three figures. Slight modification of abstract compared to version #1. Minor typos corrected. To appear in Physica
Scientific paper
10.1103/PhysRevLett.97.237203
The LiHo$_x$Y$_{1-x}$F$_4$ magnetic material in a transverse magnetic field $B_{x}\hat x$ perpendicular to the Ising spin direction has long been used to study tunable quantum phase transitions in a random disordered system. We show that the $B_{x}-$induced magnetization along the $\hat x$ direction, combined with the local random dilution-induced destruction of crystalline symmetries, generates, via the predominant dipolar interactions between Ho$^{3+}$ ions, {\it random fields} along the Ising $\hat z$ direction. This identifies LiHo$_x$Y$_{1-x}$F$_4$ in $B_x$ as a new random field Ising system. The random fields explain the rapid decrease of the critical temperature in the diluted ferromagnetic regime and the smearing of the nonlinear susceptibility at the spin glass transition with increasing $B_{x}$, and render the $B_{x}-$induced quantum criticality in LiHo$_x$Y$_{1-x}$F$_4$ likely inaccessible.
Fortin Jean-Yves
Gingras Michel J. -P.
Kao Ying-Jer
Stasiak Pawel
Tabei S. M. A.
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