Neutron spectroscopic study of crystal-field excitations and the effect of the crystal field on dipolar magnetism in Li$R$F${}_4$ ($R$ = Gd, Ho, Er, Tm, and Yb)

Abstract

We present a systematic study of the crystal field interactions in the Li$R$F${}_4$, $R$ = Gd, Ho, Er, Tm and Yb, family of rare-earth magnets. Using detailed inelastic neutron scattering measurements we have been able to quantify the transition energies and wavefunctions for each system. This allows us to quantitatively describe the high-temperature susceptibility measurements for the series of materials and make predictions based on a mean-field approach for the low-temperature thermal and quantum phase transitions. We show that coupling between crystal field and phonon states leads to lineshape broadening in LiTmF${}_4$ and level splitting in LiYbF${}_4$. Furthermore, using high resolution neutron scattering from LiHoF${}_4$, we find anomalous broadening of crystal-field excitations which we attribute to magnetoelastic coupling.

arXiv comment16 pages, 12 figures

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Cited by in corpus (16)

• Crystalline Electric Field Randomness in the Triangular Lattice Spin-Liquid YbMgGaO${}_4$
• Crystal field parameters of the rare earth pyrochlores $R_2$Ti${}_2$O${}_7$ ($R$ = Tb, Dy, Ho)
• Single-ion properties of the $S_{eff}$ = 1/2 XY antiferromagnetic pyrochlores, Na$A^{\prime }$Co${}_2$F${}_7$ ($A^{\prime }=$ Ca${}^{2+}$, Sr${}^{2+}$)
• High-resolution resonant inelastic soft X-ray scattering as a probe of the crystal electrical field in lanthanides demonstrated for the case of CeRh2Si2
• Magnetic properties and signatures of moment ordering in triangular lattice antiferromagnet KCeO${}_2$
• Phonon-mediated spin-flipping mechanism in the spin ices Dy${}_2$Ti${}_2$O${}_7$ and Ho${}_2$Ti${}_2$O${}_7$
• Probing strongly hybrid nuclear-electronic states in a model quantum ferromagnet
• Dimensional Reduction in Quantum Dipolar Antiferromagnets
• Electronic and structural properties of RbCeX${}_2$ (X${}_2$: O${}_2$, S${}_2$, SeS, Se${}_2$, TeSe, Te${}_2$)
• Phase diagram of diluted Ising ferromagnet LiHo${}_x$Y${}_{1-x}$F${}_4$
• Precise determination of low energy electronuclear Hamiltonian for LiY${}_{1-x}$Ho${}_x$F${}_4$
• Microscopic spin Hamiltonian for a dipolar-Heisenberg magnet LiGdF4 from EPR measurements
• LiHoF4 as a spin-half non-standard quantum Ising system
• Cavity-Magnon-Polariton spectroscopy of strongly hybridized electro-nuclear spin excitations in LiHoF4
• Flavor Nernst effects in quantum paramagnets
• Spectroscopy of the frustrated quantum antiferromagnet Cs${}_2$CuCl${}_4$