等级晶格上阻挫磁体的随机位稀释性质
Random site dilution properties of frustrated magnets on a hierarchical lattice
摘要：
本文提出了一种分析具有随机稀释效应的特定等级晶格上阻挫伊辛自旋模型磁性的方法。无序是由稀释和几何挫折，而不是在原来的哈密顿内部耦合的随机性。这里提出的二维模型具有宏观熵在零温度下的大尺寸的限制，非常接近的Pauling估计的自旋冰烧绿石晶格，和一个跨向顺磁相。由于稀释的无序考虑到通过考虑在不同的晶格尺寸的配分函数之间的递归方程的复制版本。在一阶的副本数的分析允许的无序配置的系统重组，导致复发计划。该方法被数值实现，以评估在外场中的比热和磁化率等物理量。
英文摘要：
We present a method to analyze magnetic properties of frustrated Ising spin models on specific hierarchical lattices with random dilution. Disorder is induced by dilution and geometrical frustration rather than randomness in the internal couplings of the original Hamiltonian. The two-dimensional model presented here possesses a macroscopic entropy at zero temperature in the large size limit, very close to the Pauling estimate for spin-ice on pyrochlore lattice, and a crossover towards a paramagnetic phase. The disorder due to dilution is taken into account by considering a replicated version of the recursion equations between partition functions at different lattice sizes. An analysis at first order in replica number allows for a systematic reorganization of the disorder configurations, leading to a recurrence scheme. This method is numerically implemented to evaluate the thermodynamical quantities such as specific heat and susceptibility in an external field.
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