重布线正方晶格上反铁磁伊辛模型的临界性质
Critical properties of the antiferromagnetic Ising model on rewired square lattices
摘要：
由于任何实际物质中都存在杂质，因此随机性对临界行为的影响是凝聚态物理中的一个重要课题。本文研究了具有随机连通性的重布线正方形晶格上反铁磁伊辛模型的临界行为。一个额外的链接被随机添加到正方形格子的每个站点，以将该站点连接到其下一个最近的邻居之一，从而具有不同数量的连接（链接）。平均链接数（ANOL）$κ$是分数，从2到3变化，其中$κ= 2$与原生正方形晶格相关联。重新布线的晶格具有丰富的三角形单元，其中自旋由于AF相互作用而受挫。采用蒙特卡罗方法和蒙特卡罗交换算法对系统进行了研究。计算了比热、交错磁化强度和自旋玻璃序参量（Edward-Anderson参量）等物理量。我们研究了随机性在影响现有相变中所起的作用，以及它与挫折的相互作用可能带来的任何自旋玻璃（SG）特性。我们观察到低温磁有序相（Néel相）在$κ$达到一定值时仍保持不变，而在任何$κ$值下都没有SG相的迹象。
英文摘要：
The effect of randomness on critical behavior is a crucial subject in condensed matter physics due to the the presence of impurity in any real material. We presently probe the critical behaviour of the antiferromagnetic (AF) Ising model on rewired square lattices with random connectivity. An extra link is randomly added to each site of the square lattice to connect the site to one of its next-nearest neighbours, thus having different number of connections (links). Average number of links (ANOL) $κ$ is fractional, varied from 2 to 3, where $κ= 2$ associated with the native square lattice. The rewired lattices possess abundance of triangular units in which spins are frustrated due to AF interaction. The system is studied by using Monte Carlo method with Replica Exchange algorithm. Some physical quantities of interests were calculated, such as the specific heat, the staggered magnetization and the spin glass order parameter (Edward-Anderson parameter). We investigate the role played by the randomness in affecting the existing phase transition and its interplay with frustration to possibly bring any spin glass (SG) properties. We observed the low temperature magnetic ordered phase (Néel phase) preserved up to certain value of $κ$ and no indication of SG phase for any value of $κ$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
