论文标题
相互作用的纳米版本中的量子传输：从量子点到单分子晶体管
Quantum transport in interacting nanodevices: from quantum dots to single-molecule transistors
论文作者
论文摘要
对纳米尺度上电子设备的生产的前所未有的控制已允许在如今可以测量外来效应的量子状态下执行高度可控且微调的实验。在量子点设备中，在特征能量尺度以下的增强电导是近野单线形成的标志。需要对类似纳米电子设备中量子传输特性的精确预测来设计最佳功能和控制。标准运输方法受到纳米结构细节，设置设计，温度和电压的限制。 To overcome these issues, such that we obtain modelling flexibility and accurate conductance predictions, in this thesis we analytically derive alternative and improved quantum transport formulations having as their starting point scattering theory in the Landauer-Büttiker formula, linear response theory in the Kubo formula, nonequilibrium Keldysh theory in the Meir-Wingreen formula and Fermi liquid theory in the Oguri formula.我们与使用数值重归于组技术的标准方法进行了系统的精确表达式基准。新的配方不仅复制文献结果，而且还显示出更高的准确性和计算效率，以及在现有方法无法触及的情况下的更广泛适用性。我们还为库仑阻滞和混合价值制度的多轨两导相互作用纳米结构提供了广义有效模型，这些模型直接根据有效模型参数产生可重复使用的电导预测。最后，我们将新型制剂应用于复杂的纳米电子系统，包括单分子苯晶体管，这是一种由石墨烯和半导体三量子点制成的电荷kondo量子点。
Unprecedented control over the manufacture of electronic devices on nanometer scale has allowed to perform highly controllable and fine-tuned experiments in the quantum regime where exotic effects can nowadays be measured. In quantum dot devices, enhanced conductance below a characteristic energy scale is the signature of Kondo singlet formation. Precise predictions of quantum transport properties in similar nanoelectronics devices are desired to design optimal functionality and control. Standard transport methods suffer from limitations in nanostructure specifics, set-up design, temperature and voltage regime of applicability. To overcome these issues, such that we obtain modelling flexibility and accurate conductance predictions, in this thesis we analytically derive alternative and improved quantum transport formulations having as their starting point scattering theory in the Landauer-Büttiker formula, linear response theory in the Kubo formula, nonequilibrium Keldysh theory in the Meir-Wingreen formula and Fermi liquid theory in the Oguri formula. We perform a systematic benchmark of our exact expressions, comparing with the standard approaches using numerical renormalization group techniques. The new formulations not only reproduce literature results, but also show higher accuracy and computational efficiency, as well as a wider applicability under regimes and conditions out of reach by existing methods. We also derive generalized effective models for multi-orbital two-lead interacting nanostructures in both Coulomb blockade and mixed-valence regime, which yield reusable conductance predictions directly in terms of the effective model parameters. We conclude by applying our novel formulations to complex nanoelectronics systems, including a single-molecule benzene transistor, a charge-Kondo quantum dot made from graphene and semiconductor triple quantum dot.
