Octupolar order in the multiple spin exchange model on a triangular lattice

Abstract

We show how a gapless spin liquid with hidden octupolar order arises in an applied magnetic field, in a model applicable to thin films of 3He with competing ferromagnetic and antiferromagnetic (cyclic) exchange interactions. Evidence is also presented for nematic -- i.e., quadrupolar -- correlations bordering on ferromagnetism in the absence of a magnetic field.

4 pages, 5 figures

References in corpus (10)

• Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
• Experimental realization of a 2D fractional quantum spin liquid
• Nematic order in square lattice frustrated ferromagnets
• Spin-Liquid phase of the Multiple-Spin Exchange Hamiltonian on the Triangular Lattice
• Spin Liquid in the Multiple-Spin Exchange model on the Triangular lattice: 3He on graphite
• Finite temperature properties and frustrated ferromagnetism in a square lattice Heisenberg model
• Field induced transitions in a kagome antiferromagnet
• Ground State of a Spin System with Two- and Four-spin Exchange Interactions on the Triangular Lattice
• Magnetization plateau in a two-dimensional multiple-spin exchange model
• Nematic order in the multiple-spin exchange model on the triangular lattice

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