论文标题
稀释的准单维系统中链分割的热力学特征
Thermodynamic signatures of chain segmentation in dilute quasi-one dimensional Ising systems
论文作者
论文摘要
热容量测量是理解包含一维基序的系统的复杂相位行为的有用工具。在这里,我们研究了将缺陷纳入准二维(Q-1D)系统中的签名。使用Monte Carlo模拟,我们表明,在非相互作用位点稀释下,Q-1D ISING模型显示出在常规三维模型中不存在的低温签名。一维链的沮丧的嵌入显示出与未覆盖的嵌入相似的特征,而前者的有限地面熵的额外出现是由链条分割引起的。我们引入了一种平均场公式,该公式捕获了模型的低温行为。该理论框架应用于TB $ _ {1-ρ} $ y $ $_ρ$(HCOO)$ _ 3 $磁环掌家族的实验热容量测量值的解释。我们发现模拟和实验之间的良好对应关系,将该系统确立为稀释Q-1D磁体的规范示例。
Heat-capacity measurements are a useful tool for understanding the complex phase behaviour of systems containing one-dimensional motifs. Here we study the signature within such measurements of the incorporation of defects into quasi-one-dimensional (q-1D) systems. Using Monte Carlo simulations, we show that, on dilution by non-interacting sites, q-1D Ising models display a low-temperature signature not present in conventional three-dimensional models. Frustrated embeddings of 1D chains show similar features to unfrustrated embeddings, with the additional emergence of a finite ground-state entropy in the former, which arises from chain segmentation. We introduce a mean-field formulation which captures the low-temperature behaviour of the model. This theoretical framework is applied to the interpretation of experimental heat-capacity measurements of the Tb$_{1-ρ}$Y$_ρ$(HCOO)$_3$ family of magnetocalorics. We find good correspondence between simulation and experiment, establishing this system as a canonical example of dilute q-1D magnets.