论文标题
在稀释的自旋眼镜中的挫败点和过渡点之间的简单关系
A simple relation between frustration and transition points in diluted spin glasses
论文作者
论文摘要
我们研究了自旋眼镜中的挫败感和相位转移点之间的可能关系。该关系表示为在零温度下的相变点处的晶格中沮丧的斑块数量的条件，据报道为几个晶格提供了非常接近的相位转换点。尽管没有证据证明这种关系，但几个晶格中的良好对应关系表明，挫败感在相变中的关系的有效性和一定的重要作用。为了进一步研究关系，我们提出了与稀释晶格的关系的自然扩展，并验证其对键稀释的方形晶格的有效性。然后，我们确认所产生的点与相位转移点的稀释率很高。我们的结果支持了先前关于未删除的晶格的建议，即挫败感对自旋玻璃的相位过渡的重要性。
We investigate a possible relation between frustration and phase-transition points in spin glasses. The relation is represented as a condition of the number of frustrated plaquettes in the lattice at phase-transition points at zero temperature and was reported to provide very close points to the phase-transition points for several lattices. Although there has been no proof of the relation, the good correspondence in several lattices suggests the validity of the relation and some important role of frustration in the phase transitions. To examine the relation further, we present a natural extension of the relation to diluted lattices and verify its effectiveness for bond-diluted square lattices. We then confirm that the resulting points are in good agreement with the phase-transition points in a wide range of dilution rate. Our result supports the suggestion from the previous work for non-diluted lattices on the importance of frustration to the phase transition of spin glasses.
