Isacsson A, Syljuåsen Olav F
NORDITA, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark.
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Aug;74(2 Pt 2):026701. doi: 10.1103/PhysRevE.74.026701. Epub 2006 Aug 1.
We 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 Néel ordered state. Also the spin textures giving rise to the magnetization plateaus seen in experiments on SrCu2(BO3)(2) are well reproduced. This shows that PEPS with the smallest nontrivial internal dimension, D=2 , can provide valuable insights into frustrated spin systems.
我们已将基于投影纠缠对态（PEPS）的变分算法应用于二维受挫自旋系统，即沙斯特里 - 萨瑟兰晶格上的自旋 - 1/2反铁磁海森堡模型。我们使用内部张量维度D = 2的PEPS类别，这是超越乘积态（D = 1 PEPS）的第一步。我们发现，D = 2变分PEPS算法能够捕捉价键晶体和奈尔有序态中的物理现象。此外，在SrCu2(BO3)2实验中观察到的产生磁化平台的自旋纹理也得到了很好的再现。这表明具有最小非平凡内部维度D = 2的PEPS能够为受挫自旋系统提供有价值的见解。
