Dipolar spin ice under uniaxial pressure

Edberg, Richard; Sandberg, Lise Ø.; Bakke, Ingrid; Haubro, Morten L.; Folkers, Laura; Mangin-Thro, L.; Wildes, A.; Zaharko, O.; Guthrie, Malcolm; Holmes, A. T.; Sørby, Magnus H.; Lefmann, Kim; Deen, P. P.; Henelius, Patrik

doi:10.1103/physrevb.100.144436

Cited by 18 publications

(15 citation statements)

References 26 publications

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“…4), provided we know the coupling constant α and the elastic constant K. A rough estimation based on the experimental and numerical results obtained in Refs. [48,[99][100][101] gives a small J ml for Dy 2 Ti 2 O 7 and Ho 2 Ti 2 O 7 , on the order of 10 mK. In turn, this leads to δr ≈ 0.1 pm for these canonical spin ices.…”

Section: Discussionmentioning

confidence: 94%

“…Although here we have concentrated mainly on the magnetic degrees of freedom and on the strong coupling limit, the MeSI model opens perspectives of research in other grounds. For instance, the weak coupling regime can be used to describe in a combined way (spins and lattice distortions) some of the physics of spin ice materials [53,57,58,60]: their true ground state [48,49,[103][104][105][106][107], the effect of uniaxial pressure [48,108], and the new phases that appear under applied field [49,74,83,84,109].…”

Section: Discussionmentioning

confidence: 99%

“…Regarding Ising pyrochlores that remain disordered at the lowest temperatures, this coupling is responsible for structural fluctuations [43], giant magnetostriction [44,45], and composite magnetoelastic excitations in Tb 2 Ti 2 O 7 [46]. It seems to be much smaller in the canonical spin ices [47,48], but may explain subtle effects shaping the zero magnetic field (h = 0), and h|| [111] phase diagrams of Dy 2 Ti 2 O 7 and Ho 2 Ti 2 O 7 [49], dynamics [50], and the observed magnetic avalanches [21,51,52]. Khomskii [53] was the first to notice that, in spin ice, spin configurations related to single monopoles are necessarily accompanied by local distortions that result in an electric dipole.…”

Section: Introductionmentioning

confidence: 99%

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Monopole matter from magnetoelastic coupling in the Ising pyrochlore

Slobinsky

Pili

Baglietto

et al. 2020

Preprint

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Ising models on a pyrochlore oxide lattice are usually associated with spin ice materials and "magnetic monopoles". Ever more often effects connecting magnetic and elastic degrees of freedom are reported on these and other related frustrated materials. Here we extend a spin-ice Hamiltonian to include coupling between spins and the O −2 ions mediating superexchange; we call it the Magnetoelastic Spin Ice model (MeSI). There has been a long search for a model in which monopoles would spontaneously become the building blocks of new ground-states: the MeSI Hamiltonian is such a model. In spite of its simplicity and classical approach, it describes (both spin and oxygen lattice) the double-layered monopole crystal observed in Tb2Ti2O7. Remarkably, the dipolar electric moment of single monopoles emerges as a probe for magnetism. As an example we show that, in principle, pinch points related to Coulomb phases could be detected in association with the O −2 -ion displacements.

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Section: Discussionmentioning

confidence: 94%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Monopole matter from magnetoelastic coupling in the Ising pyrochlore

Slobinsky

Pili

Baglietto

et al. 2020

Preprint

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“…[51] did not consider the F-model case, stating that it could not be experimentally achieved. In fact, despite impressive developments in physical pressure experiments on spin ice [53,54], the availability of epitaxial strain renders the F-model case of homogeneous inplane compression the more accessible of the two scenarios. Therefore it would be very interesting to revisit the work of Ref.…”

Section: A Spin-ice Thin Filmsmentioning

confidence: 99%

Experimental measures of topological sector fluctuations in the F-model

Arroo

Bramwell

2020

Phys. Rev. B

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The two-dimensional F-model is an ice-rule-obeying model, with a low-temperature antiferroelectric state and high-temperature critical Coulomb phase. Polarization in the system is associated with topological defects in the form of system-spanning windings which makes it an ideal system on which to observe topological sector fluctuations, as have been discussed in the context of spin ice and Berezinskii-Kosterlitz-Thouless (BKT) systems. In particular, the F-model offers a useful counterpoint to the BKT transition in that winding defects are energetically suppressed in the ordered state, rather than dynamically suppressed in the critical phase. In this paper we develop Lieb and Baxter's historic solutions of the F-model to exactly calculate relevant properties, several apparently for the first time. We further calculate properties not amenable to exact solution by an approximate cavity method and by referring to established scaling results. Of particular relevance to topological sector fluctuations are the exact results for the applied field polarization and the "energetic susceptibility." The latter is a both a measure of topological sector fluctuations and, surprisingly, in this case, a measure of the order parameter correlation exponent. In the high-temperature phase, the temperature tunes the density of topological defects and algebraic correlations, with the energetic susceptibility undergoing a jump to zero at the antiferroelectric ordering temperature, analogous to the "universal jump" in BKT systems. We discuss how these results are relevant to experimental systems, including to spin-ice thin films, and, unexpectedly, to three-dimensional dipolar spin ice and water ice, where we find that an analogous "universal jump" has previously been established in numerical studies. This unexpected result suggests a universal limit on the stability of perturbed Coulomb phases that is independent of dimension and of the order of the transition. Experimental results on water ice Ih are not inconsistent with this proposition. We complete the paper by relating our new results to experimental studies of artificial spin-ice arrays.

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“…As expected for a frustrated system, even within a restricted region of parameter space there is an abundance of competing phases. Experimentally, the control of external parameters such as pressure, both uniaxial 17,18 and hydrostatic 19,20 , doping 21,22 , and magnetic field can be used as a powerful tool to search for new ordered states in frustrated systems (see Fig. 1(d)).…”

mentioning

confidence: 99%

Integration of Machine Learning with Neutron Scattering: Hamiltonian Tuning in Spin Ice with Pressure

Samarakoon¹,

Tennant²,

Ye³

et al. 2021

Preprint

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FIG. 1. Structure of the magnetic system, phase map and generative model. (a) The magnetic moments located on Dy ions are constrained by crystal field interactions to point in or out of the tetrahedra. They form a corner sharing pyrochlore lattice. Nearest neighbors (1), next-nearest-neighbors (2) and two inequivalent next-next-nearest neighbors (3 and 3') interactions are shown as thick colored lines. (b) A predicted map of magnetic orderings for varying J3 and J 3 with the remaining Hamiltonian parameters J1, J2, and D fixed to 3.41 K. 0 K and 1.3224 K respectively. The latent space coordinates, S(L) predicted by the Generator network (GN) have been converted to an RGB color code. A region with uniform color is expected to be structurally the same, and continuous color changes correspond to either crossovers or continuous transitions. (c) Comparison between the high-symmetry-plane slices of simulated and surrogate-predicted S(Q) data at multiple places in parameter space as indexed on panel (b). (d) Schematic diagram of the experimental parameters that can be used to tune the properties of frustrated materials and their associated effects. (e) Schematic design of the surrogate model used to predict S(Q) for a given set of model parameters. The surrogate comprises a radial basis network, the Generator, mapping parameter space to latent space and a Decoder to reconstruct S(Q) from latent space representations.

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Dipolar spin ice under uniaxial pressure

Cited by 18 publications

References 26 publications

Monopole matter from magnetoelastic coupling in the Ising pyrochlore

Monopole matter from magnetoelastic coupling in the Ising pyrochlore

Experimental measures of topological sector fluctuations in the F-model

Integration of Machine Learning with Neutron Scattering: Hamiltonian Tuning in Spin Ice with Pressure

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