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

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

2005-08-18

arxiv.org/abs/cond-mat/0508409v2

Phys. Rev. Lett. 95, 267208 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

minor modifications, published version

Scientific paper

10.1103/PhysRevLett.95.267208

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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