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## SCALING HYSTERESIS OF DYNAMICAL TRANSITION OF DILUTED HEISENBERG SPIN SYSTEM 

SHAO YUAN-ZHI, LAN TU, LIN GUANG-MING
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• #### 摘要

采用Monte Carlo方法对离散混合经典Heisenberg自旋体系在周期性外场驱动下动态相变行为进行了模拟计算.在典型Heisenberg自旋体系的哈密顿量基础上,引入表征非晶相的随机各向异性能项(比例为X)和表征晶体相的单轴各向异性能项(比例为1-X),考察了该混合自旋体系磁滞后回线面积Aarea随X和单轴各向异性常数A及随机各向异性常数D的变化规律,并确定了该类自旋体系动态相变新的滞后标度关系Aarea-AδDη

#### Abstract

The Monte Carlo method was employed to perform the numerical simulation for classical discrete diluted Heisenberg spin system driven by an oscillating external magnetic field. To form the diluted spin system based on isotropic Heisenberg model, we introduced in the Hamiltonian of a typical Heisenberg model both random anisotropy energy term characterizing amorphous state with a proportion X and uniaxial anisotropy energy term representing crystalline state with a proportion 1-X. The dynamical transition behavior of the Spin system mentioned above, hysteresis loop scaled with parameter X and random as well as uniaxial anisotropy constant D and A, respectively, was studied in detail. It has been put forward a scaling relationship between hysteresis loop area and parameter X, A and D as below: Aarea-AδDηXσ . The main conclusions can be summarized below:(1)At a specific value X(defined as Xmin), the investigated system gains minimal hysteresis which has been proved experimentally in our another investigation. (2) The exponents δ,η and σ of the diluted spin system are universal constants, and the sum of δ+η(～0.9) equals the exponent δ,η of single either uniaxial or random anisotropy spin system. (3)The specific value Xmin versus logarithm of the ratio of A/D shows a peculiar sigmoidal trend.

#### 作者及机构信息

###### 1. 中山大学物理系,凝聚态物理研究所,广州510275
• 基金项目: 广东省自然科学基金(批准号:990213)资助的课题.

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##### 出版历程
• 收稿日期:  2000-08-01
• 刊出日期:  2001-05-20

## 混合Heisenberg自旋体系动态相变的滞后标度

• 1. 中山大学物理系,凝聚态物理研究所,广州510275
基金项目: 广东省自然科学基金(批准号:990213)资助的课题.

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