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

By Philippe Corboz, F. Mila. 2012

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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 Neel 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 Neel 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.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5bd690114531eeeabbd53fa16748dd263e7d18ea