Tensor Renormalization Group and its Application
Tensor Renormalization Group and its Application
Tensor Renormalization Group and its Application
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How to determine the local tensor?Ψ= Tr∏λi ∈j∈blackwhitexiλyiλziAxiyiyi[ m ] Bixjyjyj[ mj]mimj2. Projection approach−lim e βH Ψ = ground stateβ →∞• Very accurate• Fast converging• Large bond dimension can be treated(more if symmetry is considered)Projection OperatorD ~ 70 (honeycomb lattice)D ~ 20 (square or Kagome lattice)Jiang, Weng, Xiang, PRL 101, 090603 (2008)1D: Vidal, PRL 98, 070201 (2007)