We investigate the Heisenberg $XXZ$ chain with long-range interactions in the $Z$ dimension. By applying two magnetic boundary reservoirs, we drive the system out of equilibrium and induce a nonzero steady-state current. The long-range coupled chain shows nearly ballistic transport and linear response for all potential differences of the external reservoirs. In contrast, the common isotropic nearest-neighbor coupling shows negative differential conductivity and a transition from diffusive to subdiffusive transport for a far-from-equilibrium driving. Adding disorder, the change in the transport for nearest-neighbor coupling is therefore highly dependent on the driving. We find for the disordered long-range coupled $XXZ$ chain, any change in the transport behavior is independent of the potential difference and the coupling strengths of the external reservoirs.

中文翻译：

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远程相互作用机制中边界驱动的海森堡链：抵抗远距平衡效应的鲁棒性

我们调查海森堡 $XXž$ 与远程交互的链 $ž$方面。通过应用两个磁性边界储层，我们驱使系统失衡，并感应出非零稳态电流。对于外部储层的所有潜在差异，远程耦合链显示出几乎弹道式的传输和线性响应。相比之下，常见的各向同性最近邻居耦合显示出负的差分电导率，并且在远离平衡的驱动下从扩散传输转变为亚扩散传输。因此，除了增加混乱之外，用于最近邻居耦合的传输中的变化高度依赖于驱动。我们发现无序的远程耦合$XXž$ 链上，运输行为的任何变化都与电势差和外部储层的耦合强度无关。