Monopole ordered phases in dipolar and nearest-neighbours Ising pyrochlore: from spin ice to the "all-in--all-out" antiferromagnet

Abstract

We study Ising pyrochlores by means of Monte Carlo simulations. We cover a set of exchange constants ranging from the frustrated ferromagnetic case (spin-ice) to the fully-ordered "all-in--all-out" antiferromagnet in the dipolar model, reinterpreting the results --as in an ionic system-- in terms of a temperature vs. magnetic charge density phase diagram. In spite of its spin nature and the presence of both double and single non-conserved magnetic charges, the dipolar model gives place to a phase diagram which is quite comparable with those previously obtained for on-lattice systems of electric charges, and on spin ice models with conserved number of single magnetic charges. The contrast between these systems, to which we add results from the nearest-neighbours model, put forward other features of our phase diagram --notably, a monopole fluid with charge order at high monopole densities that persists up to arbitrarily high temperatures-- that can only be explained taking into account construction constraints forced by the underlying spin degrees of freedom.

arXiv comment9 pages, 10 figures

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• When opposites repel: from metastability to extended chiral spin textures in spin ice with short-range topological-defect interactions
• Emergent Electrochemistry in Spin Ice: Debye-Hückel Theory and Beyond
• Fragmented monopole crystal, dimer entropy and Coulomb interactions in Dy${}_2$Ir${}_2$O${}_7$
• Field-tuned order by disorder in Ising frustrated magnets with antiferromagnetic interactions
• Muon spin relaxation and inelastic neutron scattering investigations of all-in/all-out antiferromagnet Nd2Hf2O7
• Monopole holes in a partially ordered spin liquid
• The multiple symmetry sustaining phase transitions of spin ice
• Charge and spin correlations in the Monopole Liquid
• The Polarized Monopole Liquid: a Coulomb phase in a fluid of magnetic charges
• Traversing the pyrochlore stability diagram; microwave-assisted synthesis and discovery of mixed B-site Ln${}_2$InSbO${}_7$ family
• Monte Carlo study on the detection of classical order by disorder in real antiferromagnetic Ising pyrochlores
• Neutron scattering from fragmented frustrated magnets
• Emergent tri-criticality in magnetic metamaterials
• Phase Transition and Monopoles Densities in a Nearest Neighbors Two-Dimensional Spin Ice Model