Discrete lattice symmetry breaking in a two-dimensional frustrated spin-1 Heisenberg model

Abstract

Spontaneous discrete symmetry breaking can be described in the framework of Projected Entangled Pair States (PEPS) by linearly superposing local tensors belonging to two (or more) symmetry classes of tensors. This is illustrated in the case of a frustrated spin-1 Heisenberg model on the square lattice, which hosts a nematic spin liquid spontaneously breaking lattice $\pi /2$-rotation symmetry. A superposition of SU(2)-symmetric PEPS tensors belonging to two irreducible representations of the lattice point group is shown to capture accurately the properties of the nematic phase, as shown from a comparison to Exact Diagonalisations and Density Matrix Renormalization Group results.

arXiv comment10 pages, 12 figures. V2: reference added. V3: reference added, published version

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Cited by in corpus (5)

• Abelian SU$(N{)}_1$ Chiral Spin Liquids on the Square Lattice
• Determining the anisotropy and exchange parameters of polycrystalline spin-1 magnets
• Spin-$S$ designer hamiltonians and the square lattice $S=1$ Haldane nematic
• First-order Néel-cVBS transition in a model square lattice $S=1$ antiferromagnet
• Haldane phases and phase diagrams of the S = 3/2, 1 bilinear-biquadratic Heisenberg model on the orthogonal dimer chain