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arXiv 2007.08901cond-mat.str-elquant-ph
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广义Kadanoff-Baym近似下关联量子线和碳纳米管的光谱性质

Spectral properties of correlated quantum wires and carbon nanotubes within the Generalized Kadanoff-Baym Ansatz

F. Cosco, N. W. Talarico, R. Tuovinen, N. Lo Gullo

摘要:

通过求解单粒子密度矩阵的广义Kadanoff-Baym Answer(GKBA)主方程,研究了开放相互作用系统的光谱性质.为了衡量其有效性,我们将GKBA中获得的解与Dyson方程的解(相当于完整的Kadanoff-Baym方程)进行比较。在这两种方法中,我们处理的相互作用内的自洽的二阶玻恩近似,而GKBA仍然保留在Hartree-Fock水平计算的延迟传播。我们考虑的情况下,通过一个中心的相关区域,粒子可以相互作用,并利用在交界处的静态粒子电流作为探测系统的光谱特征的两个引线连接。在这项工作中,作为一个例子,我们采取的中心区域是一个一维的量子线和一个二维的碳纳米管,并表明GKBA主方程的解决方案很好地捕捉到他们的光谱特征。我们的结果表明,即使当所使用的传播子是在Hartree-Fock水平,GBKA解决方案保留了主要的光谱特征的自能量使用。

英文摘要:

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.

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