Quantum phases of the planar antiferromagnetic J 1 -J 2 -J 3 Heisenberg model

Quantum phases of the planar antiferromagnetic J 1 -J 2 -J 3 Heisenberg model
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平面反铁磁 J 1 -J 2 -J 3 海森堡模型的量子相

DOI:
10.1103/physrevb.83.064416
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发表时间:
2011
期刊:
影响因子:
3.7
通讯作者:
J. Richter
J. Richter
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
J. Reuther;P. Wölfle;R. Darradi;W. Brenig;M. Arlego;J. Richter

文献摘要

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我们提出了一个挫折的平面J-J-J自旋-1/2量子反铁磁体(AFM)的补充分析的结果。利用动力学泛函重整化群、高阶耦合团簇计算和基于流方程方法的级数展开,我们计算了广义动量分辨磁化率、基态能量、磁序参数和元激发能隙。从中,我们确定了一个量子相图,该图显示了位于Néel、螺旋和共线状态之间的量子顺磁(QP)相的大窗口,这些状态已经存在于经典的J-J 2-J AFM中。我们的研究结果是一致的,在QP阶段与大量的斑相关性。QP区域的范围被发现是在令人满意的协议之间的三种不同的方法,我们已经采用。
We present results for a complementary analysis of the frustrated planar J₁-J₂-J₃ spin-1/2 quantum antiferromagnet (AFM). Using dynamical functional renormalization group, high-order-coupled cluster calculations, and series expansion based on the flow equation method, we have calculated generalized momentum-resolved susceptibilities, the ground-state energy, the magnetic-order parameter, and the elementary excitation gap. From these, we determine a quantum phase diagram that shows a large window of a quantum paramagnetic (QP) phase situated among the Néel, spiral, and collinear states, which are present already in the classical J₁-J₂-J₃ AFM. Our findings are consistent with substantial plaquette correlations in the QP phase. The extent of the QP region is found to be in satisfying agreement between the three different approaches we have employed.