Halperin-Saslow modes as the origin of the low temperature anomaly in $NiG{a}_2{S}_4$

Abstract

The absence of magnetic long range order in the triangular lattice spin-1 antiferromagnet $NiGa$_2$S$_4$haspromptedthesearchforanovelquantumgroundstate.Inparticular,severalexperimentssuggestthepresenceofalinearlydispersingmodedespitenolong-rangemagneticorder.WeshowthattheanomalouslowtemperaturepropertiesofNiGa$_2$S$_4$ can naturally be explained by the formulation developed by Halperin and Saslow where the linearly dispersing Halperin-Saslow mode may exist in the background of frozen spin moments and zero net magnetization. We provide highly non-trivial consistency checks on the existing experimental data and suggest future experiments that can further confirm the existence of the Halperin-Saslow mode. Our results place strong constraints on any microscopic theory of this material.

5 pages, 1 figure

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• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Spin-Liquid State in the S = 1/2 Hyperkagome Antiferromagnet Na4Ir3O8
• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Possible ferro-spin nematic order in NiGa2S4
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• Unusual superexchange pathways in a Ni triangular lattice of NiGa${}_2$S${}_4$ with negative charge-transfer energy
• Vortex-induced topological transition of the bilinear-biquadratic Heisenberg antiferromagnet on the triangular lattice

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• Effect of vacancy defects on geometrically frustrated magnets
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• Goldstone modes in the emergent gauge fields of a frustrated magnet
• Finite temperature thermodynamic properties of the spin-1 nematics in an applied magnetic field
• Emergent Halperin-Saslow mode and Gauge Glass in quantum Ising magnet TmMgGaO${}_4$
• The nature of low-temperature spin-freezing in frustrated Kitaev magnets
• Zero-point entropies of spin-jam and spin-glass states in a frustrated magnet
• Scaling of Memories and Crossover in Glassy Magnets