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 −0.25ð1Þ. 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 ð2 þ 1ÞD. 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. DOI: 10.1103/PhysRevLett.116.197202 Critical phenomena near continuous phase transitions do not depend on the microscopic details of systems but only on the symmetry of the order parameter and interactions and the spatial dimensionality [1]. Such universality for classical thermal transitions has been thoroughly demonstrated with various physical systems over decades while nowadays a similar line of effort is actively pursued for zero-temperature quantum transitions [2][3][4]. Comparing experimental observations with theoretical models has been particularly successful for magnetic insulators that could be simply modeled by short-ranged, exchange-coupled spins on a lattice. Although dipolar interactions appear to be more classical than their exchange-coupled counterparts, it has been shown that on a square or diamond lattice, quantum fluctuations can map long-ranged dipolar interactions to a two-dimensional Ising model [5][6][7]. The LiRF 4 family is special as the rare-earth ions are arranged in a slightly distorted diamondlike structure making them intriguing to study in relation to order by disorder phenomena [8].For the case of a dipolar-coupled Ising ferromagnet, the theoretical upper critical dimension D Ã ¼ 3 and the meanfield calculations actually apply quite well as shown, for instance, in LiHoF 4 [9]. This is despite the significant role of hyperfine interactions around the quantum phase transition [10,11]. Recently, quantum and classical critical properties of a long-range, dipolar-coupled antiferromagnet could be investigated for the first time with LiErF 4 [12]. It was discovered that the specific-heat and order-parameter critical exponents, α ¼ −0.28ð4Þ and β T ¼ 0.15ð2Þ, for the thermal transition are totally different from the mean-field predictions of α ¼ 0 and β T ¼ 0.5. Instead, these exponent values suggest a 2D XY=h 4 universality class, despite the absence of any apparent two dimensionality in the structure of the system. This intriguing dimensional reduction was further corroborated by the β H ¼ 0.31ð2Þ for the quantum transition induced by applying a longitudinal magnetic field, which corresponds to ð2 þ 1ÞD, as expected from quantum-classical mapping [4]. Whether t...