Renormalization group approach to time-dependent transport through correlated quantum dots
Renormalization group approach to time-dependent transport through correlated quantum dots
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DOI：
10.1103/physrevb.85.085113
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发表时间：
2012-02-21
影响因子：
3.7
通讯作者：
Meden, V.
中科院分区：
文献类型：
--
作者：
Kennes, D. M.;Jakobs, S. G.;Meden, V.
我们引入了一个真实的时间版本的功能重整化群，这使我们能够研究通过量子点的非平衡输运的相关效应。我们的方法同样能够解决（i）从非平衡初始状态到由偏置电压驱动的（潜在的）稳态的松弛，以及（ii）由显式时间依赖的哈密顿量控制的动力学。所有的时间制度，从瞬态到渐近可以处理，唯一的近似是一致截断的流动方程在给定的顺序。作为应用，我们研究了相互作用共振能级模型的弛豫动力学，该模型描述了由电荷涨落控制的费米子量子点。此外，我们研究了欧姆自旋玻色子模型中的非相干和弛豫现象，将后者映射到相互作用的共振能级模型。
We introduce a real time version of the functional renormalization group, which allows us to study correlation effects on nonequilibrium transport through quantum dots. Our method is equally capable to address (i) the relaxation out of a nonequilibrium initial state into a (potentially) steady state driven by a bias voltage and (ii) the dynamics governed by an explicitly time-dependent Hamiltonian. All time regimes from transient to asymptotic can be tackled; the only approximation is the consistent truncation of the flow equations at a given order. As an application we investigate the relaxation dynamics of the interacting resonant level model, which describes a fermionic quantum dot dominated by charge fluctuations. Moreover, we study incoherence and relaxation phenomena within the ohmic spin-boson model by mapping the latter to the interacting resonant level model.