Hasik Juraj, Van Damme Maarten, Poilblanc Didier, Vanderstraeten Laurens
Laboratoire de Physique Théorique, C.N.R.S. and Université de Toulouse, 31062 Toulouse, France.
Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands.
Phys Rev Lett. 2022 Oct 21;129(17):177201. doi: 10.1103/PhysRevLett.129.177201.
Doubts have been raised on the representation of chiral spin liquids exhibiting topological order in terms of projected entangled pair states (PEPSs). Here, starting from a simple spin-1/2 chiral frustrated Heisenberg model, we show that a faithful representation of the chiral spin liquid phase is in fact possible in terms of a generic PEPS upon variational optimization. We find a perfectly chiral gapless edge mode and a rapid decay of correlation functions at short distances consistent with a bulk gap, concomitant with a gossamer long-range tail originating from a PEPS bulk-edge correspondence. For increasing bond dimension, (i) the rapid decrease of spurious features-SU(2) symmetry breaking and long-range tails in correlations-together with (ii) a faster convergence of the ground state energy as compared to state-of-the-art cylinder matrix-product state simulations involving far more variational parameters, prove the fundamental relevance of the PEPS ansatz for simulating systems with chiral topological order.
关于在投影纠缠对态（PEPS）框架下对呈现拓扑序的手性自旋液体的表示，人们已经提出了质疑。在此，我们从一个简单的自旋 - 1/2 手性受挫海森堡模型出发，表明通过变分优化，在手性自旋液体相的一般 PEPS 框架内实际上可以实现忠实表示。我们发现了一个完美的手性无隙边缘模式以及短距离处关联函数的快速衰减，这与体隙一致，同时伴随着源于 PEPS 体 - 边对应关系的薄纱状长程尾部。对于不断增加的键维度，（i）虚假特征（SU(2) 对称性破缺和关联中的长程尾部）的快速减少，以及（ii）与涉及更多变分参数的现有最先进圆柱矩阵乘积态模拟相比，基态能量更快的收敛，证明了 PEPS 假设对于模拟具有手性拓扑序的系统的根本相关性。
