Phase diagram of the J1-J2 Heisenberg model on the kagome lattice
Phase diagram of the J1-J2 Heisenberg model on the kagome lattice
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Kagome 晶格上 J1-J2 海森堡模型的相图
DOI：
10.1103/physrevb.91.104418
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发表时间：
2014
影响因子：
3.7
通讯作者：
V. Alba
中科院分区：
文献类型：
--
作者：
F. Kolley;S. Depenbrock;I. McCulloch;U. Schollwock;V. Alba
用密度矩阵重整化群方法研究了kagome晶格上自旋为1/2的J_1-J_2海森堡模型的基态相图。我们把重点放在该地区的相图周围的戈薇海森堡反铁磁体，即，在J_2=0处。我们研究了静态自旋结构因子、磁关联长度和自旋能隙。我们的结果是一致的，在J_2\approx 0附近的一个狭窄的区域中的磁序的情况下，虽然强的有限尺寸效应不允许我们准确地确定相边界。这一结果与最近提出的扩展自旋液体区域的存在是一致的。在无序区之外，我们发现对于铁磁和反铁磁J_2，基态分别表现出\sqrt{3}\times\sqrt{3}和q=0的磁序特征.最后，我们重点研究了q=0有序相的纠缠谱结构。我们讨论了双划分的选择的ES的有限大小的结构上的重要性。
We perform an extensive density matrix renormalization group (DMRG) study of the ground-state phase diagram of the spin-1/2 J_1-J_2 Heisenberg model on the kagome lattice. We focus on the region of the phase diagram around the kagome Heisenberg antiferromagnet, i.e., at J_2=0. We investigate the static spin structure factor, the magnetic correlation lengths, and the spin gaps. Our results are consistent with the absence of magnetic order in a narrow region around J_2\approx 0, although strong finite-size effects do not allow us to accurately determine the phase boundaries. This result is in agreement with the presence of an extended spin-liquid region, as it has been proposed recently. Outside the disordered region, we find that for ferromagnetic and antiferromagnetic J_2 the ground state displays signatures of the magnetic order of the \sqrt{3}\times\sqrt{3} and the q=0 type, respectively. Finally, we focus on the structure of the entanglement spectrum (ES) in the q=0 ordered phase. We discuss the importance of the choice of the bipartition on the finite-size structure of the ES.