arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0904.4274cond-mat.mes-hall
收藏

电子-电子相互作用下准一维场效应晶体管中散粒噪声的统计理论

Statistical theory of shot noise in quasi-1D Field Effect Transistors in the presence of electron-electron interaction

Alessandro Betti, Gianluca Fiori, Giuseppe Iannaccone

摘要:

本文给出了栅控准一维导体中的散粒噪声功率谱密度的表达式,该表达式考虑了载流子之间的库仑相互作用和泡利不相容效应。在这个意义上,我们的表达式扩展了众所周知的朗道-布蒂克噪声公式,包括库仑相互作用的影响,通过诱导波动的设备电位。我们的方法是基于散射矩阵的统计特性的介绍和第二量子化多体描述。从定量的角度来看,统计特性是通过蒙特卡罗模拟的不同配置的注入态的系综,需要在三维网格上的Poisson-Schrodinger方程的解决方案,与非平衡格林函数形式主义。在一系列的例子中,我们表明,不考虑库仑相互作用对噪声的影响,导致一个严重高估的准一维设备的噪声谱。

英文摘要:

We present an expression for the shot noise power spectral density in quasi-one dimensional conductors electrostatically controlled by a gate electrode, that includes the effects of Coulomb interaction and of Pauli exclusion among charge carriers. In this sense, our expression extends the well known Landauer-Buttiker noise formula to include the effect of Coulomb interaction through induced fluctuations in the device potential. Our approach is based on the introduction of statistical properties of the scattering matrix and on a second-quantization many-body description. From a quantitative point of view, statistical properties are obtained by means of Monte Carlo simulations on a ensemble of different configurations of injected states, requiring the solution of the Poisson-Schrodinger equation on a three-dimensional grid, with the non-equilibrium Green functions formalism. In a series of example, we show that failure to consider the effects of Coulomb interaction on noise leads to a gross overestimation of the noise spectrum of quasi-one dimensional devices.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑