Spin-Wave Results for the Staggered Magnetization of Triangular Heisenberg Antiferromagnet

Spin-Wave Results for the Staggered Magnetization of Triangular Heisenberg Antiferromagnet
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三角形海森堡反铁磁体交错磁化的自旋波结果

DOI:
10.1143/jpsj.61.983
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发表时间:
1992
影响因子:
1.7
通讯作者:
S. Miyake
S. Miyake
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
S. Miyake

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用通常的自旋波理论计算了三角形晶格上海森堡反铁磁体的交错磁化强度。磁化强度由基态能量作为其对交错场的导数得到,并以1/S展开的形式给出,S是自旋的量级。第二个最低的修正项为O(1/S),由两个贡献组成:一个来自哈密顿量中四玻色子项的一阶效应,另一个来自三玻色子项的二阶微扰。当交换相互作用是各向同性时,每个贡献都发散,但两个贡献的发散部分被抵消,留下一个交错磁化到这个数量级的有限结果。交错磁化强度的数值结果为S-0.2613+0.0055/S。
The staggered magnetization of the Heisenberg antiferromagnet on triangular lattice is calculated by means of the usual spin-wave theory. The magnetization is derived from the ground-state energy as its derivative with respect to the staggered field, and given in a form of 1/ S expansion, S being the magnitude of spins. The second-lowest correction, a term of O (1/ S ), consists of two contributions; one from the first-order effect of four-boson terms in the Hamiltonian, and another from the second-order perturbation due to a three-boson term. Each contribution diverges when the exchange interaction is isotropic, but the divergent parts of the two contributions are found to cancel, leaving a finite result for the staggered magnetization to this order. Numerical result for the staggered magnetization is S -0.2613+0.0055/ S .