标题： 双端输运在偏置晶格中的行为：从弹道电流到扩散电流的转变 显示英文标题

标题： Two-terminal transport in biased lattices: transition from ballistic to diffusive current

摘要： 我们分析连接两个粒子库（电极）的紧束缚晶格中带电费米粒子的量子输运。 如果电极的化学势不同，它们会生成一个电场，使晶格倾斜。 我们研究了这种倾斜在晶格中存在弱弛豫/退相干过程时对量子输运的影响。 结果表明，对于弱倾斜（化学势差较小）的情况，朗道尔弹道输运区域会转变为强倾斜（化学势差较大）情况下的扩散型埃萨基-茨输运区域，其中这种转变的临界倾斜由Wannier-Stark局域长度与晶格长度相等的条件决定。 显示英文摘要

摘要： We analyze quantum transport of charged fermionic particles in the tight-binding lattice connecting two particle reservoirs (the leads). If the lead chemical potentials are different they create an electric field which tilts the lattice. We study the effect of this tilt on quantum transport in the presence of weak relaxation/decoherence processes in the lattice. It is shown that the Landauer ballistic transport regime for a weak tilt (small chemical potential difference) changes to the diffusive Esaki-Tsu transport regime for a strong tilt (large chemical potential difference), where the critical tilt for this crossover is determined by the condition that the Wannier-Stark localization length coincides with the lattice length.