Critical phenomena in a highly constrained classical spin system: Neel ordering from the Coulomb phase

Abstract

Many classical, geometrically frustrated antiferromagnets have macroscopically degenerate ground states. In a class of three-dimensional systems, the set of degenerate ground states has power-law correlations and is an example of a Coulomb phase. We investigate Neel ordering from such a Coulomb phase, induced by weak additional interactions that lift the degeneracy. We show that the critical point belongs to a universality class that is different from the one for the equivalent transition out of the paramagnetic phase, and that it is characterised by effective long-range interactions; alternatively, ordering may be discontinuous. We suggest that a transition of this type may be realised by applying uniaxial stress to a pyrochlore antiferromagnet.

4 pages, 3 figures

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Cited by in corpus (13)

• The "Coulomb phase" in frustrated systems
• Anderson localisation in tight-binding models with flat bands
• Coulomb gas transitions in three-dimensional classical dimer models
• Nematic, vector-multipole, and plateau-liquid states in the classical O(3) pyrochlore antiferromagnet with biquadratic interactions in applied magnetic field
• Spin ice under pressure: symmetry enhancement and infinite order multicriticality
• Ground-state selection and spin-liquid behaviour in the classical Heisenberg model on the breathing pyrochlore lattice
• Nonplanar ground states of frustrated antiferromagnets on an octahedral lattice
• Higgs transitions of spin ice
• Classical to quantum mapping for an unconventional phase transition in a three-dimensional classical dimer model
• Confinement of monopoles and scaling theory near unconventional critical points
• Ferromagnetic Coulomb phase in classical spin ice
• Universal monopole scaling near transitions from the Coulomb phase
• Conventional description of Unconventional Coulomb-Crystal phase transitions in three-dimensional classical O(N) spin-ice