Ferromagnetism, antiferromagnetism, and the curious nematic phase of S=1 quantum spin systems

Abstract

We investigate the phase diagram of S=1 quantum spin systems with SU(2)-invariant interactions, at low temperatures and in three spatial dimensions. Symmetry breaking and the nature of pure states can be studied using random loop representations. The latter confirm the occurrence of ferro- and antiferromagnetic transitions and the breaking of SU(3) invariance. And they reveal the peculiar nature of the nematic pure states which MINIMIZE \sum_x (S_x^i)^2.

arXiv comment12 pages, 6 figures

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Cited by in corpus (6)

• Spin dynamics of the bilinear-biquadratic $S=1$ Heisenberg model on the triangular lattice: a quantum Monte Carlo study
• A numerical study of the 3D random interchange and random loop models
• Long-range order for the spin-1 Heisenberg model with a small antiferromagnetic interaction
• Existence of Néel order in the S=1 bilinear-biquadratic Heisenberg model via random loops
• Poisson-Dirichlet distributions and weakly first-order spin-nematic phase transitions
• On a class of orthogonal-invariant quantum spin systems on the complete graph