Variational treatment of the Shastry-Sutherland antiferromagnet using Projected Entangled Pair States (PEPS)

dc.creatorIsacsson, A.
dc.creatorSyljuasen, O. F.
dc.date2006-04-05
dc.date.accessioned2026-07-07T07:42:44Z
dc.date.available2026-07-07T07:42:44Z
dc.descriptionWe have applied a variational algorithm based on Projected Entangled Pair States (PEPS) to a two dimensional frustrated spin system, the spin-1/2 antiferromagnetic Heisenberg model on the Shastry-Sutherland lattice. We use the class of PEPS with internal tensor dimension D=2, the first step beyond product states (D=1 PEPS). We have found that the D=2 variational PEPS algorithm is able to capture the physics in both the valence-bond crystal and the Neel ordered state. Also the spin-textures giving rise to the magnetization plateaus seen in experiments on SrCu$_2$(BO$_3$)$_2$ are well reproduced. This shows that PEPS with the smallest nontrivial internal dimension, D=2, can provide valuable insights into frustrated spin-systems.
dc.description10 pages, 11 Figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0604134
dc.identifierhttp://arxiv.org/abs/cond-mat/0604134
dc.identifierPhys. Rev. E 74, 035601 (2006)
dc.identifierdoi:10.1103/PhysRevE.74.026701
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122553
dc.subjectOther Condensed Matter
dc.titleVariational treatment of the Shastry-Sutherland antiferromagnet using Projected Entangled Pair States (PEPS)
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