论文标题
抗铁磁骨晶格中的确切非平衡孔动力学，磁性极性和弦激兴激发
Exact nonequilibrium hole dynamics, magnetic polarons and string excitations in antiferromagnetic Bethe lattices
论文作者
论文摘要
我们研究了一个罕见的实例，这些实例是一个可解决的非元素多体问题。特别是，我们得出了一个精确的解决方案，用于在完全各向异性的抗铁磁磁性BETHE BETHE Lattice（由$ t $ - $ j_z $型号描述）中最初局部的单个孔的非平衡动力学。该模型的溶解度依赖于Bethe Lattices的分形自相似性，从而使该孔通过晶格移动时可以全部运动，并准确地表征了对Spin Spin相关功能产生的影响。我们发现该孔保持在其初始位置，并在孔密度分布中具有大型的高度振荡。我们将其追溯到磁性极性基态和弦激兴激发的特征力的不规则模式，我们也确切地确定。
We investigate a rare instance of an exactly solvable nonequilibrium many-body problem. In particular, we derive an exact solution for the nonequilibrium dynamics of an initially localized single hole in a fully anisotropic antiferromagnetic Bethe lattice, described by the $t$-$J_z$ model. The solvability of the model relies on the fractal self-similarity of Bethe lattices, making it possible to compute the full motion of the hole as it moves through the lattice, as well as exactly characterizing the resulting effect on spin-spin correlation functions. We find that the hole remains bound to its initial position with large aperiodic oscillations in the hole density distribution. We track this back to the irregular pattern of the eigenenergies of the magnetic polaron ground state and string excitations, which we also determine exactly.
