Spin solid phases of spin 1 and spin 3/2 antiferromagnets on a cubic lattice

Abstract

We study spin S=1 and S=3/2 Heisenberg antiferromagnets on a cubic lattice focusing on spin solid states. Using Schwinger boson formulation for spins, we start in a U(1) spin liquid phase proximate to Neel phase and explore possible confining paramagnetic phases as we transition away from the spin liquid by the process of monopole condensation. Electromagnetic duality is used to rewrite the theory in terms of monopoles. For spin 1 we find several candidate phases of which the most natural one is a phase with spins organized into parallel Haldane chains. For spin 3/2 we find that the most natural phase has spins organized into parallel ladders. As a by-product, we also write a Landau theory of the ordering in two special classical frustrated XY models on the cubic lattice, one of which is the fully frustrated XY model. In a particular limit our approach maps to a dimer model with 2S dimers coming out of every site, and we find the same spin solid phases in this regime as well.

15 pages, 8 figures

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Cited by in corpus (5)

• Gauge theory picture of an ordering transition in a dimer model
• Néel to dimer transition in spin-S antiferromagnets: Comparing bond operator theory with quantum Monte Carlo simulations for bilayer Heisenberg models
• Correlations and order parameter at a Coulomb-crystal phase transition in a three-dimensional dimer model
• Condensation of Lattice Defects and Melting Transitions in Quantum Hall phases
• Dyon condensation in topological Mott insulators