Semiclassical spin liquid state of easy axis Kagome antiferromagnets

Abstract

Motivated by recent experiments on Nd-langasite, we consider the effect of strong easy axis single-ion anisotropy $D$ on $S>3/2$ spins interacting with antiferromagnetic exchange $J$ on the Kagome lattice. When $T\ll D{S}^2$, the collinear low energy states selected by the anisotropy map on to configurations of the classical Kagome lattice Ising antiferromagnet. However, the low temperature limit is quite different from the cooperative Ising paramagnet that obtains classically for $T\ll J{S}^2$. We find that sub-leading $\mathcal{O}(J^{3}S/D^2)$ multi-spin interactions arising from the transverse quantum dynamics result in a crossover from an intermediate temperature classical cooperative Ising paramagnet to a semiclassical spin liquid with distinct short-ranged correlations for $T\ll J^{3}S/D^2$.

4 pages, 3 eps figures

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Cited by in corpus (10)

• Phase diagram of the classical Heisenberg antiferromagnet on a triangular lattice in applied magnetic field
• Sign-problem-free Monte Carlo simulation of certain frustrated quantum magnets
• Interplay of anisotropy and frustration: triple transitions in a triangular-lattice antiferromagnet
• Competition between supersolid phases and magnetisation plateaux in the frustrated easy-axis antiferromagnet on a triangular lattice
• Ground State of the Easy-Axis Rare-Earth Kagomé Langasite Pr${}_3$Ga${}_5$SiO${}_{14}$
• Melting of three-sublattice order in easy-axis antiferromagnets on triangular and Kagome lattices
• Cluster algorithms for frustrated two dimensional Ising antiferromagnets via dual worm constructions
• Static and dynamic magnetic properties of the spin-5/2 triangle lattice antiferromagnet Na3Fe(PO4)2 studied by 31P NMR
• Quantum order by disorder in a semiclassical spin ice
• Magnetic properties and field-induced phenomena in the Jeff = 1/2 distorted kagome antiferromagnet