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首页> 外文期刊>Physical review >Ground-state phases of the frustrated spin-1/2 J~1-J~2-J~3 Heisenberg ferromagnet (J~1 < 0) on the honeycomb lattice with J_3 = J_2 > 0
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Ground-state phases of the frustrated spin-1/2 J~1-J~2-J~3 Heisenberg ferromagnet (J~1 < 0) on the honeycomb lattice with J_3 = J_2 > 0

机译：J_3 = J_2> 0的蜂窝晶格上受挫的spin-1 / 2 J〜1-J〜2-J〜3 Heisenberg铁磁体（J〜1 <0）的基态相

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摘要

We study the ground-state (GS) properties of the frustrated spin-1/2 J~1-J~2-J~3 Heisenberg model on the two-dimensional honeycomb lattice with ferromagnetic nearest-neighbor (J_1 = - 1) exchange and frustrating antiferromagnetic next-nearest-neighbor (J_2 > 0) and next-next-nearest-neighbor (J_3 > 0) exchanges, for the case J_3 = J_2. We use the coupled-cluster method implemented to high orders of approximation, complemented by the Lanczos exact diagonalization of a large finite lattice with 32 sites, in order to calculate the GS energy, magnetic order parameter, and spin-spin correlation functions. In one scenario we find a quantum phase transition point between regions characterized by ferromagnetic order and a form of antiferromagnetic ("striped") collinear order at J_2~c ≈ 0.1095 ±0.0005, which is below the corresponding hypothetical transition point at J_2~(cl) =1/7 (≈0.143) for the classical version of the model, in which we momentarily ignore the intervening noncollinear spiral phase in the region 1/10 < J_2 < 1/5 . Hence we see that quantum fluctuations appear to stabilize somewhat the collinear antiferromagnetic order in preference to the ferromagnetic order in this model. We compare results for the present ferromagnetic case (with J~1 = - 1) to previous results for the corresponding antiferromagnetic case (with J_1 = +1). The magnetic order parameter is found to behave similarly for the ferromagnetic and the antiferromagnetic models for large values of the frustration parameter J_2. However, there are considerable differences in the behavior of the order parameters for the two models for J_2/J_1 approx< 0.6. For example, the quasiclassical collinear magnetic long-range order for the antiferromagnetic model (with J_1 = +1) breaks down at J_2~(c2) ≈0.60, whereas the "equivalent" point for the ferromagnetic model (with J_1 = - 1) occurs at J_2~c≈0.11. Unlike in the antiferromagnetic model (with J_1 = +1), where a plaquette valence-bond crystal phase intrudes between the two corresponding quasiclassical antiferromagnetic phases (with Néel and striped order) for J_2~(c1) < J_2 < J_2~(c2), with J_2~(c1) ≈ 0.47, we find no clear indications at all in the ferromagnetic model for an intermediate magnetically disordered phase between the corresponding phases exhibiting ferromagnetic and striped order. Instead the evidence for the ferromagnetic model (with J_1 = - 1) points to one of two scenarios: either there is a direct first-order transition between the two magnetically ordered phases, as mentioned above; or there exists an intervening phase between them in the very narrow range 0.10 approx< J_2 approx< 0.12, which is probably a remnant of the spiral phase that exists in the classical counterpart of the model over the larger range 1/10 < J_2 <1/5.
机译：我们研究了在具有强磁性最近邻（J_1 =-1）交换的二维蜂窝晶格上沮丧的spin-1 / 2 J〜1-J〜2-J〜3 Heisenberg模型的基态（GS）特性对于J_3 = J_2的情况，令人沮丧的反铁磁最近邻（J_2> 0）和下一近邻（J_3> 0）交换。为了计算GS能量，磁阶参数和自旋-自旋相关函数，我们使用耦合聚类方法实现高阶逼近，并辅以32个位置的大型有限晶格的Lanczos精确对角化，在一种情况下，我们发现以铁磁有序和反铁磁（“条状”）共线形式在J_2〜c≈0.1095±0.0005的区域之间存在一个量子相变点，该点低于相应的J_2〜（cl ）= 1/7（≈0.143）对于模型的经典版本，其中我们暂时忽略介于1/10

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  • 来源
    《Physical review》 |2012年第8期|p.085115.1-085115.11|共11页
  • 作者

    P. H. Y. Li; R. F. Bishop; D. J. J. Farnell; J. Richter; C. E. Campbell;

  • 作者单位

    School of Physics and Astronomy, Schuster Building, The University of Manchester, Manchester, Ml 3 9PL, United Kingdom;

    School of Physics and Astronomy, Schuster Building, The University of Manchester, Manchester, Ml 3 9PL, United Kingdom;

    Division of Mathematics, Faculty of Advanced Technology, University of Glamorgan, Pontypridd CF37 1DL, Wales, United Kingdom;

    Institut fuer Theoretische Physik, Otto-von-Guericke Universitdt Magdeburg, P.O.B. 4120, D-39016 Magdeburg, Germany;

    School of Physics and Astronomy, University of Minnesota, 116 Church Street SE, Minneapolis, Minnesota 55455, USA;

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    quantized spin models; magnetic anisotropy; critical-point effects, specific heats, short-range order; antiferromagnetics;

    机译：量化自旋模型磁各向异性临界点效应;比热;短程顺序;反铁磁;

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