Transfer matrices as the free-energy of topological excitations

传递矩阵使我们可以推导出平移不变系统的热力学，对于大系统，它将自由能与最大本征值联系起来。然而，这些刺激在物理上对应的是什么呢？我的研究重点是表明，正是在伊辛模型的情况下，这些激发对应于底层晶格中的拓扑物。其想法是将其推广到统计力学中的其他更复杂的模型。

Transfer matrices allow us to deduce the thermodynamics of translationally invariant systems, which for large systems relates the free energy to the maximal eigenvalue. However, what do the excitations correspond to physically? The focus of my research is showing that, exactly in the case of the Ising model, these excitations correspond to topological objects in the underlying lattice. The idea is to generalise this to other, more complicated, models in statistical mechanics.