论文标题
广义Kadanoff-baym ansatz中相关量子线和碳纳米管的光谱特性
Spectral properties of correlated quantum wires and carbon nanotubes within the Generalized Kadanoff-Baym Ansatz
论文作者
论文摘要
我们通过求解单粒子密度矩阵的广义Kadanoff-baym ansatz（GKBA）主方程来研究开放相互作用系统的光谱特性，即时间 - 二基因较小的较小Green的函数。为了基准其有效性，我们将GKBA中获得的解决方案与dyson方程的解决方案进行比较（等效地等效地是kadanoff-baym方程）。在这两种方法中，我们都会在自一致的二阶诞生近似中处理相互作用，而GKBA仍然保留在Hartree-Fock水平上计算出的迟钝的传播器。我们考虑了通过中央相关区域连接的两个导线的情况，在该区域中，颗粒可以作为系统的光谱特征探测到连接点处的固定粒子电流并利用固定粒子电流。例如，在这项工作中，我们以中央区域为一维量子线和二维碳纳米管，并表明GKBA主方程的解决方案很好地捕获了它们的频谱特征。我们的结果表明，即使使用的繁殖器在Hartree-fock水平上，GBKA解决方案也保留了使用的自能力的主要光谱特征。
We investigate the spectral properties of an open interacting system by solving the Generalized Kadanoff-Baym Ansatz (GKBA) master equation for the single-particle density matrix, namely the time-diagonal lesser Green's function. To benchmark its validity, we compare the solution obtained within the GKBA with the solution of the Dyson equation (equivalently the full Kadanoff-Baym equations). In both approaches, we treat the interaction within the self-consistent second-order Born approximation, whereas the GKBA still retains the retarded propagator calculated at the Hartree-Fock level. We consider the case of two leads connected through a central correlated region where particles can interact and exploit the stationary particle current at the boundary of the junction as a probe of the spectral features of the system. In this work, as an example, we take the central region to be a one-dimensional quantum wire and a two-dimensional carbon nanotube and show that the solution of the GKBA master equation well captures their spectral features. Our result demonstrates that, even when the propagator used is at the Hartree-Fock level, the GBKA solution retains the main spectral features of the self-energy used.
