Dipolar Antiferromagnetism and Quantum Criticality in LiErF
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Kraemer, Conradin; Nikseresht, N.; Piatek, Julian; Tsyrulin, N.; Piazza, B. Dalla; Kiefer, K.; Klemke, Bastian; Rosenbaum, T. F.; Aeppli, G.; Gannarelli, C. M. S.; Prokeš, K.; Podlesnyak, A.; Strässle, Thierry; Keller, L.; Zaharko, O.; Krämer, Karl; Rønnow, Henrik M.

doi:10.1126/science.1221878

Cited by 47 publications

(53 citation statements)

References 35 publications

(21 reference statements)

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“…This issue provoked early theoretical attention by Luttinger and Tisza 65 as well as more recent experimental work in a rare-earth system 66 . In principle, long-range order in quasi-2D Heisenberg antiferromagnets can be brought about by the dipolar couplings between the layers.…”

Section: Dipolar Interactionsmentioning

confidence: 99%

Control of the third dimension in copper-based square-lattice antiferromagnets

et al. 2016

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Using a mixed-ligand synthetic scheme, we create a family of quasi-two-dimensional antiferromagnets, namely, [Cu(HF2)(pyz)2]ClO4 [pyz = pyrazine], [CuL2(pyz)2](ClO4)2 [L = pyO = pyridine-N-oxide and 4-phpyO = 4-phenylpyridine-N-oxide. These materials are shown to possess equivalent two-dimensional [Cu(pyz)2] 2+ nearly square layers, but exhibit interlayer spacings that vary from 6.5713Å to 16.777Å, as dictated by the axial ligands. We present the structural and magnetic properties of this family as determined via x-ray diffraction, electron-spin resonance, pulsed-and quasistatic-field magnetometry and muon-spin rotation, and compare them to those of the prototypical two-dimensional magnetic polymer Cu(pyz)2(ClO4)2. We find that, within the limits of the experimental error, the two-dimensional, intralayer exchange coupling in our family of materials remains largely unaffected by the axial ligand substitution, while the observed magnetic ordering temperature (1.91 K for the material with the HF2 axial ligand, 1.70 K for the pyO and 1.63 K for the 4-phpyO) decreases slowly with increasing layer separation. Despite the structural motifs common to this family and Cu(pyz)2(ClO4)2, the latter has significantly stronger two-dimensional exchange interactions and hence a higher ordering temperature. We discuss these results, as well as the mechanisms that might drive the long-range order in these materials, in terms of departures from the ideal S = 1/2 two-dimensional square-lattice Heisenberg antiferromagnet. In particular, we find that both spin exchange anisotropy in the intralayer interaction and interlayer couplings (exchange, dipolar, or both) are needed to account for the observed ordering temperatures, with the intralayer anisotropy becoming more important as the layers are pulled further apart.

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Section: Dipolar Interactionsmentioning

confidence: 99%

Control of the third dimension in copper-based square-lattice antiferromagnets

et al. 2016

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“…While LiYF 4 is nonmagnetic, it is frequently used in lasers as host material doped with trivalent rare-earth ions [11,12]. More recently, dimensional reduction was discovered in the XY antiferromagnet LiErF 4 [13], and enhanced glassiness was reported for the mixed Ising-XY series LiHo x Er 1−x F 4 [14]. Therefore, the family of LiRF 4 allows us to probe a wide range of phenomena.…”

Section: Introductionmentioning

confidence: 99%

Neutron spectroscopic study of crystal-field excitations and the effect of the crystal field on dipolar magnetism inLiRF4(R=Gd, Ho, Er, Tm, and Yb)

et al. 2015

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We present a systematic study of the crystal-field interactions in the LiRF 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 wave functions 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 line-shape 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.

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“…Many materials show non-trivial phenomena to which long-range nature of the interactions, such as the dipole-dipole interaction [4] and the Ruderman-Kittel-Kasuya-Yoshida (RKKY) interaction [5], plays an essential role. The competition between the short-range and the long-range interactions has been studied in the cold-atom systems [6].…”

Section: Introductionmentioning

confidence: 99%

Upper and lower critical decay exponents of Ising ferromagnets with long-range interaction

2017

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We investigate the universality class of the finite-temperature phase transition of the twodimensional Ising model with the algebraically decaying ferromagnetic long-range interaction, Jij = | ri − rj| −(d+σ) , where d (=2) is the dimension of the system and σ the decay exponent, by means of the order-N cluster-algorithm Monte Carlo method. In particular, we focus on the upper and lower critical decay exponents, the boundaries between the mean-field-universality, intermediate, and short-range-universality regimes. At the critical decay exponents, it is found that the standard Binder ratio of magnetization at the critical temperature exhibits the extremely slow convergence as a function of the system size. We propose more effective physical quantities, the combined Binder ratio and the self-combined Binder ratio, both of which cancel the leading finite-size corrections of the conventional Binder ratio. Utilizing these techniques, we clearly demonstrate that in two dimensions the lower and upper critical decay exponents are σ = 1 and 7/4, respectively, contrary to the recent Monte Carlo and the renormalization-group studies [M. Picco, arXiv:1207.1018 T. Blanchard, et al., Europhys. Lett. 101, 56003 (2013)].

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Dipolar Antiferromagnetism and Quantum Criticality in LiErF ₄

Cited by 47 publications

References 35 publications

Control of the third dimension in copper-based square-lattice antiferromagnets

Control of the third dimension in copper-based square-lattice antiferromagnets

Neutron spectroscopic study of crystal-field excitations and the effect of the crystal field on dipolar magnetism inLiRF4(R=Gd, Ho, Er, Tm, and Yb)

Upper and lower critical decay exponents of Ising ferromagnets with long-range interaction

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Dipolar Antiferromagnetism and Quantum Criticality in LiErF 4

Cited by 47 publications

References 35 publications

Control of the third dimension in copper-based square-lattice antiferromagnets

Control of the third dimension in copper-based square-lattice antiferromagnets

Neutron spectroscopic study of crystal-field excitations and the effect of the crystal field on dipolar magnetism inLiRF4(R=Gd, Ho, Er, Tm, and Yb)

Upper and lower critical decay exponents of Ising ferromagnets with long-range interaction

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Product

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Dipolar Antiferromagnetism and Quantum Criticality in LiErF ₄