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Significance of the Hyperfine Interactions in the Phase Diagram of ${\rm LiHo_xY_{1-x}F_4}$

M. Schechter·P. C. E. Stamp
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Abstract

We consider the quantum magnet $\rm LiHo_xY_{1-x}F_4$ at $x = 0.167$. Experimentally the spin glass to paramagnet transition in this system was studied as a function of the transverse magnetic field and temperature, showing peculiar features: for example (i) the spin glass order is destroyed much faster by thermal fluctuations than by the transverse field; and (ii) the cusp in the nonlinear susceptibility signaling the glass state {\it decreases} in size at lower temperature. Here we show that the hyperfine interactions of the Ho atom must dominate in this system, and that along with the transverse inter-Ho dipolar interactions they dictate the structure of the phase diagram. The experimental observations are shown to be natural consequences of this.

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M. Schechter, P. C. E. Stamp. 2006-03-07. Significance of the Hyperfine Interactions in the Phase Diagram of ${\rm LiHo_xY_{1-x}F_4}$. https://doi.org/10.1103/physrevlett.95.267208

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