电子-电子和电子-声子相互作用的内插方法：从近藤到极化子体系
Interpolative approach for electron-electron and electron-phonon interactions: from the Kondo to the polaronic regime
摘要：
我们提出了一种理论方法来确定纳米系统的电子性质，表现出强烈的电子-电子和电子-声子相互作用，并耦合到金属电极。这种方法是基于一个插值的电子自能成为精确的弱耦合和强耦合到电极的限制。该方法提供了一个推广以前的插值方案已被广泛应用于纯电子的情况下。作为一个测试案例，我们考虑单水平Anderson-Holstein模型。用插值方法得到的结果与已有的数值重整化群计算结果符合得很好。我们还检查我们的结果，考虑的情况下，由几个离散的水平，可以对角化的电极。该近似适当地描述了从近藤制度，其中电子-电子相互作用占主导地位的极化情况下，其特征在于强的电子-声子相互作用的过渡。
英文摘要：
We present a theoretical approach to determine the electronic properties of nanoscale systems exhibiting strong electron-electron and electron-phonon interactions and coupled to metallic electrodes. This approach is based on an interpolative ansatz for the electronic self-energy which becomes exact both in the limit of weak and strong coupling to the electrodes. The method provides a generalization of previous interpolative schemes which have been applied to the purely electronic case extensively. As a test case we consider the single level Anderson-Holstein model. The results obtained with the interpolative ansatz are in good agreement with existing data from Numerical Renormalization Group calculations. We also check our results by considering the case of the electrodes represented by a few discrete levels which can be diagonalized exactly. The approximation describes properly the transition from the Kondo regime where electron-electron interactions dominate to the polaronic case characterized by a strong electron-phonon interaction.
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