Assessment of the RE(OH) 3 Ising magnetic materials as possible candidates for the study of transverse-field-induced quantum phase transitions

摘要: The ${\text{LiHo}}_{x}{\text{Y}}_{1\ensuremath{-}x}{\text{F}}_{4}$ Ising magnetic material subject to a field perpendicular the ${\text{Ho}}^{3+}$ direction has shown over past 20 years be host of very interesting thermodynamic and phenomena. Unfortunately, availability other materials than that may described by transverse-field model remains much limited. It is in this context we use here mean-field theory investigate suitability $\text{Ho}{(\text{OH})}_{3}$, $\text{Dy}{(\text{OH})}_{3}$, $\text{Tb}{(\text{OH})}_{3}$ insulating hexagonal dipolar Ising-type ferromagnets for study quantum phase transition induced field, ${B}_{x}$, applied spin direction. Experimentally, zero-field critical (Curie) temperatures are known ${T}_{c}\ensuremath{\approx}2.54$, 3.48, 3.72 K, $\text{Tb}{(\text{OH})}_{3}$, respectively. From our calculations estimate transverse ${B}_{x}^{c}$, destroy ferromagnetic order at zero temperature ${B}_{x}^{c}=4.35$, 5.03, 54.81 T We find similarly ${\text{LiHoF}}_{4}$, can quantitatively an effective $S=1/2$ model. This not case $\text{Dy}{(\text{OH})}_{3}$ due strong admixing between ground doublet first excited interactions. Furthermore, paramagnetic (PM) (FM) becomes ${B}_{x}$ low temperatures. Hence, PM FM zero-temperature critical. effect competing antiferromagnetic nearest-neighbor exchange ${B}_{z}$, along $\stackrel{\ifmmode \hat{}\else \^{}\fi{}}{z}$ on first-order $\text{Dy}{(\text{OH})}_{3}$. conclude from these preliminary $\text{Ho}{(\text{OH})}_{3}$ their ${\text{Y}}^{3+}$ diamagnetically diluted variants, ${\text{Ho}}_{x}{\text{Y}}_{1\ensuremath{-}x}{(\text{OH})}_{3}$ ${\text{Dy}}_{x}{\text{Y}}_{1\ensuremath{-}x}{(\text{OH})}_{3}$, potentially systems transverse-field-induced fluctuations effects hard axis (Ising-type) materials.