The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice

Abstract

Using mean-field theory, exact diagonalizations and SU(3) flavour theory, we have precisely mapped out the phase diagram of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice in a magnetic field, with emphasis on the quadrupolar phases and their excitations. In particular, we show that ferroquadrupolar order can coexist with short-range helical magnetic order, and that the antiferroquadrupolar phase is characterized by a remarkable 2/3 magnetization plateau, in which one site per triangle retains quadrupolar order while the other two are polarized along the field. Implications for actual S=1 magnets are discussed.

arXiv comment4 pages, 5 figures, published version

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• Nematic order in square lattice frustrated ferromagnets
• Spin Nematic Phase in S=1 Triangular Antiferromagnets
• Magnetization plateaus in frustrated antiferromagnetic quantum spin models
• Effective field theory for S=1 quantum nematic
• Quadrupolar Order in Isotropic Heisenberg Models with Biquadratic Interaction
• On the origin of biquadratic exchange in spin 1 chains

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