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arXiv 0712.0952cond-mat.mes-hall
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相互作用电子通过单个散射体的相干输运

Coherent transport of interacting electrons through a single scatterer

Martin Mosko, Pavel Vagner, Andrej Gendiar, Radoslav Nemeth

摘要:

利用自洽的Hartree-Fock方法,计算了具有单个δ势垒的一维环中弱相互作用无自旋电子的持续流。我们发现持续电流随系统长度(L)的衰减类似于$I \propto L^{-1-α}$,其中$α> 0$是只依赖于电子-电子相互作用的功率.我们还模拟了弱相互作用的一维电子气隧穿通过一个单一的三角洲障碍有限线偏置接触。我们发现Landauer电导随系统长度的衰减类似于$L^{-2α}$。幂律$L^{-1-α}$和$L^{-2α}$迄今为止只在相关模型中观察到。因此,它们在哈特里-福克模型中的存在令人惊讶。

英文摘要:

Using the self-consistent Hartree-Fock method, we calculate the persistent current of weakly-interacting spinless electrons in a one-dimensional ring containing a single delta-barrier. We find that the persistent current decays with the system length (L) asymptotically like $I \propto L^{-1-α}$, where $α> 0$ is the power depending only on the electron-electron interaction. We also simulate tunneling of the weakly-interacting one-dimensional electron gas through a single delta-barrier in a finite wire biased by contacts. We find that the Landauer conductance decays with the system length asymptotically like $L^{-2α}$. The power laws $L^{-1-α}$ and $L^{-2α}$ have so far been observed only in correlated models. Their existence in the Hartree-Fock model is thus surprising.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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