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arXiv 0810.5293cond-mat.mes-hall
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外加磁场下铁磁Anderson模型中干涉与库仑相互作用的相互作用

Interplay between interference and Coulomb interaction in the ferromagnetic Anderson model with applied magnetic field

Jonas Nyvold Pedersen, Dan Bohr, Andreas Wacker, Tomas Novotny, Peter Schmitteckert, Karsten Flensberg

摘要:

我们研究了在一个简单的模型中,由于多个单粒子路径和库仑相互作用的干扰与局部磁场诱导的能级分裂耦合到铁磁铅类安德森杂质之间的竞争。该模型及其在自旋电子学领域的潜在实验相关性作为一个重要的基准系统,可以测试和比较各种量子输运方法。我们目前的结果,通过自旋相关的实现的密度矩阵重整化群计划的平均场的解决方案相比,以及一个看似更先进的Hubbard-I近似的线性电导。我们解释了为什么平均场产生近乎完美的结果,而更复杂的哈伯德-我的方法失败,即使在一个纯粹的概念水平,因为它打破了厄米相关的密度矩阵。此外,我们研究了有限偏压输运通过杂质的平均场方法和最近开发的高阶密度矩阵方程。我们发现,平均场的解决方案未能描述的高阶密度矩阵的方法的合理结果定量和定性,因为它没有捕捉到一些基本特征的电流-电压特性,如负微分电导。

英文摘要:

We study the competition between interference due to multiple single-particle paths and Coulomb interaction in a simple model of an Anderson-like impurity with local-magnetic-field-induced level splitting coupled to ferromagnetic leads. The model along with its potential experimental relevance in the field of spintronics serves as a nontrivial benchmark system where various quantum transport approaches can be tested and compared. We present results for the linear conductance obtained by a spin-dependent implementation of the density matrix renormalization group scheme which are compared with a mean-field solution as well as a seemingly more advanced Hubbard-I approximation. We explain why mean-field yields nearly perfect results, while the more sophisticated Hubbard-I approach fails, even at a purely conceptual level since it breaks hermiticity of the related density matrix. Furthermore, we study finite bias transport through the impurity by the mean-field approach and recently developed higher-order density matrix equations. We find that the mean-field solution fails to describe the plausible results of the higher-order density matrix approach both quantitatively and qualitatively as it does not capture some essential features of the current-voltage characteristics such as negative differential conductance.

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