Ferromagnetic Coulomb phase in classical spin ice

Abstract

Spin ice is a frustrated magnetic system that at low temperatures exhibits a Coulomb phase, a classical spin liquid with topological order and deconfined excitations. This work establishes the presence of a Coulomb phase with coexisting ferromagnetic order in a microscopic model of classical spin ice subject to uniaxial lattice distortion. General theoretical arguments are presented for the presence of such a phase, and its existence is confirmed using Monte Carlo results. This example is used to illustrate generic properties of spin liquids with magnetic order, including deconfinement of monopoles, signatures in the neutron-scattering structure factor, and critical behavior at phase transitions. An analogous phase, a superfluid with spontaneously broken particle-hole symmetry, is demonstrated in a model of hard-core lattice bosons, related to spin ice through the quantum-classical correspondence.

12 pages, 16 figures; v2: new Fig. 9 showing effective potential between monopoles

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• Critical behavior in the cubic dimer model at nonzero monomer density
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Cited by in corpus (12)

• Competing spin liquids and hidden nematic order in spin ice with frustrated transverse exchange
• The quantum origins of moment fragmentation in Nd2Zr2O7
• Angular momentum fluctuations in the convective helium shell of massive stars
• Topological aspects of symmetry breaking in triangular-lattice Ising antiferromagnets
• Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
• Monopole holes in a partially ordered spin liquid
• Modification of Spin Ice Physics in Ho${}_2$Ti${}_2$O${}_7$ Thin Films
• Tunable critical correlations in kagome ice
• Interplay of symmetry breaking and deconfinement in 3D quantum vertex models
• Symmetry, Superposition and Fragmentation in Classical Spin Liquids: A General Framework and Applications to Square Kagome Magnets
• Fractional Wannier Orbitals and Tight-Binding Gauge Fields for Kitaev Honeycomb Superlattices with Flat Majorana Bands
• Dynamic scaling near the Kasteleyn transition in spin ice: critical relaxation of monopoles and strings following a field quench