Spontaneous trimerization in a bilinear-biquadratic S = 1 zig-zag chain

Spontaneous trimerization in a bilinear-biquadratic S = 1 zig-zag chain
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DOI:
10.1103/physrevb.76.220404
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发表时间:
2007-07
期刊:
影响因子:
3.7
通讯作者:
P. Corboz;A. Laeuchli;K. Totsuka;H. Tsunetsugu
P. Corboz;A. Laeuchli;K. Totsuka;H. Tsunetsugu
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
P. Corboz;A. Laeuchli;K. Totsuka;H. Tsunetsugu

文献摘要

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最近的理论研究提出了在S = 1三角形晶格化合物NiGa2S4中实现自旋向列态的可能性。利用密度矩阵重整化群方法和精确对角化方法研究了锯齿形几何中的双线性双二次自旋1链。我们给出了聚焦于反铁磁相互作用的相图。在已知的Haldane-双Haldane和具有显性自旋向列相关的扩展临界相附近,我们发现了一个具有不消失能隙的三聚相。我们讨论了不同阶参数、能隙、相关函数和中心电荷的结果,并与相图的场理论预测联系起来。
Recent theoretical studies raised the possibility of a realization of spin nematic states in the S = 1 triangular lattice compound NiGa2S4. We study the bilinear-biquadratic spin 1 chain in a zig-zag geometry by means of the density matrix renormalization group method and exact diagonalization. We present the phase diagram focusing on antiferromagnetic interactions. Adjacent to the known Haldane-double Haldane and the extended critical phase with dominant spin nematic correlations we find a trimerized phase with a nonvanishing energy gap. We discuss results for different order parameters, energy gaps, correlation functions, and the central charge, and make connection to field theoretical predictions for the phase diagram.