Field-tuned order by disorder in Ising frustrated magnets with antiferromagnetic interactions

Abstract

We demonstrate the appearance of thermal order by disorder in Ising pyrochlores with staggered antiferromagnetic order frustrated by an applied magnetic field. We use a mean-field cluster variational method, a low-temperature expansion and Monte Carlo simulations to characterise the order-by-disorder transition. By direct evaluation of the density of states we quantitatively show how a symmetry-broken state is selected by thermal excitations. We discuss the relevance of our results to experiments in $2d$ and $3d$ samples, and evaluate how anomalous finite-size effects could be exploited to detect this phenomenon experimentally in two-dimensional artificial systems, or in antiferromagnetic all-in--all-out pyrochlores like Nd${}_2$Hf${}_2$O${}_7$ or Nd${}_2$Zr${}_2$O${}_7$, for the first time.

arXiv comment5 pages, 3 figures + supplemental material

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Cited by in corpus (15)

• Muon spin relaxation and inelastic neutron scattering investigations of all-in/all-out antiferromagnet Nd2Hf2O7
• Entropy-driven order in an array of nanomagnets
• Artificial spin ice and vertex models
• Cluster mean field study of the Heisenberg model for CuInVO${}_5$
• Hierarchy of energy scales and field-tunable order by disorder in dipolar-octupolar pyrochlores
• Charge and spin correlations in the Monopole Liquid
• Attraction Controls the Inversion of Order by Disorder
• The Polarized Monopole Liquid: a Coulomb phase in a fluid of magnetic charges
• On the mechanism behind the inverse melting in systems with competing interactions
• Order by disorder: saving collective motion from topological defects in a conservative model
• Spin ice in a general applied magnetic field: Kasteleyn transition, magnetic torque and rotational magnetocaloric effect
• Monte Carlo study on the detection of classical order by disorder in real antiferromagnetic Ising pyrochlores
• Field-temperature phase diagram of the enigmatic Nd${}_2$(Zr${}_{1-x}$Ti${}_x$)${}_2$O${}_7$ pyrochlore magnets
• Attraction controls the entropy of fluctuations in isosceles triangular networks
• Methods for detecting Order-by-Disorder transitions: the example of the Domino model