Nature of the Spin-Liquid Ground State of the S=1/2 Heisenberg Model on the Kagome Lattice
Nature of the Spin-Liquid Ground State of the S=1/2 Heisenberg Model on the Kagome Lattice
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DOI：
10.1103/physrevlett.109.067201
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发表时间：
2012-08-07
影响因子：
8.6
通讯作者：
Schollwoeck, Ulrich
中科院分区：
文献类型：
--
作者：
Depenbrock, Stefan;McCulloch, Ian P.;Schollwoeck, Ulrich
我们对kagome晶格上的S = 1/2 Heisenberg反铁磁体进行了密度矩阵重整群（DMRG）研究，以确定推测的自旋液体基态。利用SU(2)自旋对称性，它允许我们保持多达16000个DMRG状态，我们考虑周长为17个晶格间距的圆柱体，并找到自旋液体基态，其估计每位点能量为-0.4386(5)，自旋间隙为0.13(1)，自旋，二聚体和手性相关函数的极短范围衰减，以及有限拓扑纠缠γ符合γ = log(2)2，排除无间隙，手性，或非拓扑自旋液体，支持量子维2的拓扑自旋液体，有强有力的证据表明存在间隙拓扑Z(2)自旋液体。
We perform a density-matrix renormalization group (DMRG) study of the S = 1/2 Heisenberg anti-ferromagnet on the kagome lattice to identify the conjectured spin liquid ground state. Exploiting SU(2) spin symmetry, which allows us to keep up to 16 000 DMRG states, we consider cylinders with circumferences up to 17 lattice spacings and find a spin liquid ground state with an estimated per site energy of -0.4386(5), a spin gap of 0.13(1), very short-range decay in spin, dimer and chiral correlation functions, and finite topological entanglement gamma consistent with gamma = log(2)2, ruling out gapless, chiral, or nontopological spin liquids in favor of a topological spin liquid of quantum dimension 2, with strong evidence for a gapped topological Z(2) spin liquid.