Tensor network study of the Shastry-Sutherland model in zero magnetic field

Abstract

We simulate the Shastry-Sutherland model in two dimensions by means of infinite projected entangled-pair states (iPEPS) - a variational tensor network method where the accuracy can be systematically controlled by the so-called bond dimension. Besides the well established dimer and Néel phase iPEPS confirms the presence of an intermediate phase with plaquette long-range order, and we determine its phase boundaries with high accuracy. The first order phase transition for $J=0.675(2)$ between dimer and plaquette phase is compatible with previous series expansion results. iPEPS predicts a weak first-order phase transition between plaquette and Néel phase occurring for $J=0.765(15)$. We do not find a stable intermediate columnar-dimer phase, even when we bias the state towards this order.

11 pages, 11 figures, minor changes

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• Effective Theory of Magnetization Plateaux in the Shastry-Sutherland Lattice
• Variational treatment of the Shastry-Sutherland antiferromagnet using Projected Entangled Pair States (PEPS)
• Microscopic mechanism for the 1/8 magnetization plateau in SrCu_2(BO_3)_2
• Accurate computation of low-temperature thermodynamics for quantum spin chains

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