Phase diagram of a bilinear-biquadratic spin-1 model on the triangular lattice from density matrix renormalization group simulations

Abstract

We investigate a highly frustrated spin-1 model on the triangular lattice, with nearest- and next-nearest-neighbor antiferromagnetic $S\cdot S$ interactions and nearest-neighbor $(S\cdot S{)}^2$ interactions. Using the density matrix renormalization group (DMRG) technique, we find three magnetically ordered phases, namely 120${}^{\circ }$ spiral order, stripe order, and tetrahedral order, as well as two spin nematic phases: ferroquadrupolar and antiferroquadrupolar. While our data could be consistent with a spin liquid phase between the 120${}^{\circ }$ spiral and antiferroquadrupolar orders, the more likely scenario is a direct continuous transition between these two orders.

13 pages, 8 figures, plus 13 pages (17 figures) Supplemental Material

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Cited by in corpus (4)

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• Phonon-driven multipolar dynamics in a spin-orbit coupled Mott insulator
• RKKY quadratic and biquadratic spin-spin interactions in twisted bilayer graphene
• $SU(N)$ spin-phonon simulations of Floquet dynamics in spin $S>1/2$ Mott insulators