Spin-liquid behaviour and the interplay between Pokrovsky-Talapov and Ising criticality in the distorted, triangular-lattice, dipolar Ising antiferromagnet

Abstract

We study the triangular-lattice Ising model with dipolar interactions, inspired by its realisation in artificial arrays of nanomagnets. We show that a classical spin-liquid forms at intermediate temperatures, and that its behaviour can be tuned by temperature and/or a small lattice distortion between a string Luttinger liquid and a domain-wall-network state. At low temperature there is a transition into a magnetically ordered phase, which can be first-order or continous with a crossover in the critical behaviour between Pokrovsky-Talapov and 2D-Ising universality. When the Pokrovsky-Talapov criticality dominates, the transition is essentially of the Kasteleyn type.

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Cited by in corpus (9)

• Continuous magnetic phase transition in artificial square ice
• Quantum criticality of the transverse-field Ising model with long-range interactions on triangular-lattice cylinders
• Partial lifting of degeneracy in the $J_1-J_2-J_3$ Ising antiferromagnet on the kagome lattice
• Monte Carlo based techniques for quantum magnets with long-range interactions
• Systematic Analysis of Crystalline Phases in Bosonic Lattice Models with Algebraically Decaying Density-Density Interactions
• Matrix product state fixed points of non-Hermitian transfer matrices
• Quantum phases of hardcore bosons with repulsive dipolar density-density interactions on two-dimensional lattices
• Perfectly hidden order and Z2 confinement transition in a fully packed monopole liquid
• A fermionic path integral for exact enumeration of polygons on the simple cubic lattice