论文标题
用投影纠缠状态模拟手性旋转液体
Simulating chiral spin liquids with projected entangled-pair states
论文作者
论文摘要
人们对表现出拓扑顺序的手性旋转液体（PEPSS）表示拓扑顺序的表示提出了疑问。在这里，从简单的Spin-1/2手性挫败的海森堡模型开始，我们表明，在变化优化时，忠实的手性旋转液相的代表实际上是可能的。我们发现一种完美的手性间隙边缘模式和相关函数的快速衰减与散装间隙一致，与散发器的长距离尾巴伴随着源自peps的散装对应关系。 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.
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.
