Ground State Properties of One Dimensional S = 1/2 Heisenberg Model with Dimerization and Quadrumerization.
Ground State Properties of One Dimensional S = 1/2 Heisenberg Model with Dimerization and Quadrumerization.
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具有二聚和四聚的一维 S = 1/2 海森堡模型的基态特性。
DOI：
10.1143/jpsj.67.2910
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
K. Hida
中科院分区：
文献类型：
--
作者：
Wei Chen;K. Hida
利用有限尺寸系统的数值精确对角化方法，研究了一维S =1/2二聚四聚海森堡模型。利用唯象重整化群和有限尺寸标度律，得到了各向同性情况下的基态相图。它表现出多种基态，其中包括S =1的Halfonite态，S =1的二聚体态和S =1/2的二聚体态作为限制情况。计算了能隙差距指数ν，它与各向同性海森堡链的二聚化跃迁的能隙指数一致.在XY极限下，解析地得到了相图，并与各向同性情况进行了比较。
The one dimensional S =1/2 Heisenberg model with dimerization and quadrumerization is studied by means of the numerical exact diagonalization of finite size systems. Using the phenomenological renormalization group and finite size scaling law, the ground state phase diagram is obtained in the isotropic case. It exhibits a variety of the ground states which contains the S =1 Haldane state, S =1 dimer state and S =1/2 dimer state as limiting cases. The gap exponent ν is also calculated which coincides with the value for the dimerization transition of the isotropic Heisenberg chain. In the X Y limit, the phase diagram is obtained analytically and the comparison is made with the isotropic case.