Dimensional Reduction in Quantum Dipolar Antiferromagnets

Abstract

We report ac susceptibility, specific heat, and neutron scattering measurements on a dipolar-coupled antiferromagnet LiYbF${}_4$. For the thermal transition, the order-parameter critical exponent is found to be 0.20(1) and the specific-heat critical exponent -0.25(1). The exponents agree with the 2D XY/h${}_4$ universality class despite the lack of apparent two-dimensionality in the structure. The order-parameter exponent for the quantum phase transitions is found to be 0.35(1) corresponding to (2+1)D. These results are in line with those found for LiErF${}_4$ which has the same crystal structure, but largely different T${}_N$, crystal field environment and hyperfine interactions. Our results therefore experimentally establish that the dimensional reduction is universal to quantum dipolar antiferromagnets on a distorted diamond lattice.

arXiv comment9 pages, 7 figures

References in corpus (7)

• Continuous Quantum Phase Transitions
• Quantum phase transitions
• Unconventional critical behaviour in a quasi-two-dimensional organic conductor
• Universal Window for Two Dimensional Critical Exponents
• Quantum Phase Transition of a Magnet in a Spin Bath
• Gains from the upgrade of the cold neutron triple-axis spectrometer FLEXX at the BER-II reactor
• 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)

Cited by in corpus (2)

• Probing strongly hybrid nuclear-electronic states in a model quantum ferromagnet
• Phase diagram of diluted Ising ferromagnet LiHo${}_x$Y${}_{1-x}$F${}_4$