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arXiv 1402.4906cond-mat.mes-hallphysics.chem-phphysics.comp-ph
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分子结中原子含时输运计算的态表示方法

A State Representation Approach for Atomistic Time-Dependent Transport Calculations in Molecular Junctions

Tamar Zelovich, Leeor Kronik, Oded Hod

摘要:

提出了一种利用有限原子模型模拟非平衡态开放量子系统中电子动力学的新方法。所提出的方法是由Sánchez等人[J. Chem. Phys.,124,214708(2006)]。我们的方法的一个关键组成部分是从原子的哈密顿矩阵的分子结的状态表示的变换。这使我们能够唯一地定义整个系统的偏置电压,同时在有限的引线模型内保持适当的热电子分布。此外,它使我们能够研究复杂的分子结,包括非线性设置和多引线配置。我们的工作方程的启发式推导导致显式表达式的阻尼和驱动项,作为适当的电子源和汇,有效地“打开”有限模型系统。虽然该方法并不禁止,但实际上我们在对各种紧束缚模型系统的数值模拟中既没有发现违反泡利不相容原理的情况,也没有发现偏离密度矩阵正性的情况。我们相信,新的方法提供了一个实际的和物理上合理的路线,在现实的分子结中进行原子的时间依赖性输运计算。

英文摘要:

We propose a new method for simulating electron dynamics in open quantum systems out of equilibrium, using a finite atomistic model. The proposed method is motivated by the intuitive and practical nature of the driven Liouville von-Neumann equation approach of Sánchez et al. [J. Chem. Phys., 124, 214708 (2006)]. A key ingredient of our approach is a transformation of the Hamiltonian matrix from an atomistic to a state representation of the molecular junction. This allows us to uniquely define the bias voltage across the system while maintaining a proper thermal electronic distribution within the finite lead models. Furthermore, it allows us to investigate complex molecular junctions, including non-linear setups and multi-lead configurations. A heuristic derivation of our working equation leads to explicit expressions for the damping and driving terms, which serve as appropriate electron sources and sinks that effectively "open" the finite model system. Although the method does not forbid it, in practice we find neither violation of Pauli's exclusion principles nor deviation from density matrix positivity throughout our numerical simulations of various tight-binding model systems. We believe that the new approach offers a practical and physically sound route for performing atomistic time-dependent transport calculations in realistic molecular junctions.

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