In this study, we investigated the quantization of magnetization at low temperatures in a spin-1 antiferromagnetic chain with single-ion anisotropy by considering the quenched disorder in alternating bonds. Each spin i interacts with its nearest neighbors via $J_i$ and $\alpha J_i$ couplings, where $J_i$ is considered to obey a Gaussian or Bernoulli probability distribution function, with width σ. Zero temperature phase diagrams were obtained by minimizing the energy of the Hamiltonian. For finite temperatures, a transfer matrix technique was applied in order to treat the partition function. Consequently, the magnetization curve calculated by deriving the quenched average of the free energy exhibited interesting plateaus, which were modified when randomness was considered. Experimentally, these plateaus appear when some chain structures are subjected to a magnetic field.

在这项研究中，我们通过考虑交替键中的淬灭无序来研究具有单离子各向异性的自旋1反铁磁链在低温下的磁化强度。我每次旋转都会通过它与最近的邻居互动${Ĵ}_{\mathrm{一世}}$ 和 $\alpha {Ĵ}_{\mathrm{一世}}$ 联轴器，在哪里 ${Ĵ}_{\mathrm{一世}}$被认为服从宽度为σ的高斯或伯努利概率分布函数。通过最小化哈密顿量的能量获得零温度相图。对于有限的温度，应用转移矩阵技术以处理分配函数。因此，通过推导自由能的猝灭平均而计算出的磁化曲线表现出有趣的平稳期，当考虑到随机性时会对其进行修改。实验上，当某些链结构受到磁场作用时，就会出现这些平稳状态。