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arXiv 0902.1600cond-mat.mtrl-scicond-mat.mes-hall
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含时过程的波包基及其在共振电子输运弛豫中的应用

Wavepacket basis for time-dependent processes and its application to relaxation in resonant electronic transport

P. Bokes

摘要:

频闪波包基组[P.Bokes,F.科尔塞蒂河W. Godby,Phys. Rev. Lett. 101,046402(2008)]是专门为描述扩展系统中的时间依赖性过程而定制的,如由固体和分子组成的各种接触的非周期性几何形状。解释两个简单的有限系统的建设这样的基础是由一个审查的一般理论扩展系统与连续谱。后者进一步阐述了相互作用表示的引入,充分利用了时间动态内置的基础。的形式主义是适用于一个半解析的例子,通过共振隧穿势垒在1D的电子输运。通过时间依赖性的推广的Landauer公式中给出的传输振幅的傅立叶展开,我们分析的稳态的发病的时间特性。在这个过程中的各种时间尺度被证明是直接相关的能量结构的共振势垒。

英文摘要:

Stroboscopic wavepacket basis sets [P. Bokes, F. Corsetti, R. W. Godby, Phys. Rev. Lett. 101, 046402 (2008)] are specifically tailored for a description of time-dependent processes in extended systems like non-periodic geometries of various contacts consisting of solids and molecules. The explanation of the construction of such a basis for two simple finite systems is followed by a review of the general theory for extended systems with continuous spectrum. The latter is further elaborated with the introduction of the interaction representation which takes the full advantage of the time-dynamics built into the basis. The formalism is applied to a semi-analytical example of electronic transport through resonant tunnelling barrier in 1D. Through the time-dependent generalisation of the Landauer formula given in terms of the Fourier expansion of the transmission amplitude we analyze the temporal character of the onset of the steady-state. Various time-scales in this process are shown to be directly related to the energetic structure of the resonant barrier.

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