论文标题
长期各向异性海森堡模型中的quasiballistic运输
Quasiballistic transport in long-range anisotropic Heisenberg model
论文作者
论文摘要
纯粹的弹道运输是罕见的功能，即使对于可集成的型号来说。 By numerically studying the Heisenberg chain with the power-law exchange, \mbox{$J\propto1/r^α$}, where $r$ is a distance, we show that for spin anisotropy $Δ\simeq \exp(-α+2)$ the system exhibits a quasiballistic spin transport and the presence of fermionic excitation which do not decay up to extremely long times $ \ sim10^3/j $。在自旋域的动力学，动力学自旋电导率，检查自旋流动算子的矩阵元素以及大多数保守的操作员的分析上，得出了这一结论。我们的结果平稳地连接了存在完全弹道传输的两种模型：带有最近邻居跳跃的自由颗粒和各向同性的Haldane-Shastry模型。
Purely ballistic transport is a rare feature even for integrable models. By numerically studying the Heisenberg chain with the power-law exchange, \mbox{$J\propto1/r^α$}, where $r$ is a distance, we show that for spin anisotropy $Δ\simeq \exp(-α+2)$ the system exhibits a quasiballistic spin transport and the presence of fermionic excitation which do not decay up to extremely long times $\sim10^3/J$. This conclusion is reached on the base of the dynamics of spin domains, the dynamical spin conductivity, inspecting the matrix elements of the spin-current operator, and by the analysis of most conserved operators. Our results smoothly connects two models where fully ballistic transport is present: free particles with nearest-neighbor hopping and the isotropic Haldane-Shastry model.
