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arXiv 1207.7232cond-mat.mes-hallphysics.chem-ph
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分子内通过单势垒的电子转移:从强耦合到弱耦合

Electron transfer through a single barrier inside a molecule: from strong to weak coupling

Robert Stadler, Jerome Cornil, Victor Geskin

摘要:

在两个金属电极之间通过单个分子的电子输运的所有理论处理中,必须在整个结中具有强耦合的相干传输状态和分子仅与两个引线弱耦合的库仑阻塞状态之间进行清楚的区分。前一种情况下,隧道势垒被认为在整个系统中离域,可以用基于密度泛函理论(DFT)的常见平均场技术很好地描述,而后一种情况下,其两个不同的势垒位于界面处,通常需要多决定性描述。有第三种情况下,只有一个障碍内的分子,我们在这里调查使用各种量子化学方法,通过研究部分电荷移位联苯自由基离子诱导的电场在不同的角度调制耦合,从而在$π$系统内的障碍。我们发现步骤四舍五入在边缘的电荷与场的曲线为弱耦合和中间耦合,其准确的描述需要一个正确的治疗交换和动力学相关效应是必不可少的。我们建立了DFT标准泛函不能再现这一特征,而长程校正的混合泛函则要好得多,这使得它成为基于DFT的此类单势垒系统的适当输运描述的合理选择

英文摘要:

In all theoretical treatments of electron transport through single molecules between two metal electrodes, a clear distinction has to be made between a coherent transport regime with a strong coupling throughout the junction and a Coulomb blockade regime in which the molecule is only weakly coupled to both leads. The former case where the tunnelling barrier is considered to be delocalized across the system can be well described with common mean-field techniques based on density functional theory (DFT), while the latter case with its two distinct barriers localized at the interfaces usually requires a multideterminant description. There is a third scenario with just one barrier localized inside the molecule which we investigate here using a variety of quantum-chemical methods by studying partial charge shifts in biphenyl radical ions induced by an electric field at different angles to modulate the coupling and thereby the barrier within the $π$-system. We find steps rounded off at the edges in the charge versus field curves for weak and intermediate coupling, whose accurate description requires a correct treatment of both exchange and dynamical correlation effects is essential. We establish that DFT standard functionals fail to reproduce this feature, while a long range corrected hybrid functional fares much better, which makes it a reasonable choice for a proper DFT-based transport description of such single barrier systems

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