arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1809.04469cond-mat.mes-hall
收藏

二维量子系统电子输运中的位置相关质量效应

Position-dependent mass effects in the electronic transport of two-dimensional quantum systems

Felipe Serafim, F. A. N. Santos, Jonas R. F. Lima, Cleverson Filgueiras, Fernando Moraes

摘要:

在本工作中,我们研究了具有位置依赖质量(PDM)的弯曲二维量子系统的电子输运性质。我们发现薛定谔方程的一般表面的da Costa方法,获得系统的PDM的几何潜力。我们得到了一般回转曲面的透射率和反射率的表达式。作为这里得到的一般结果的第一个应用,我们研究了变形纳米管的输运性质,因为在这个系统的以前的研究中已经忽略了有效质量随纳米管半径的变化,并且在实验上观察到不同半径的有效质量的变化。我们发现,包括位置相关的质量,特别是质量分布的径向变化,可以引起系统的输运性质的显着变化,这表明,二维量子系统的输运性质是敏感的PDM和建模时,在表面的电子输运这种影响应该考虑。

英文摘要:

In this work, we investigate the electronic transport properties of curved two-dimensional quantum systems with a position-dependent mass (PDM). We found the Schrödinger equation for a general surface following the da Costa approach, obtaining the geometrical potential for systems with PDM. We obtained expressions for the transmittance and reflectance for a general surface of revolution. As a first application of the general results obtained here, we investigate the transport properties of deformed nanotubes, since the variation of the effective mass with the radius of the nanotubes has been dis-considered in previous studies of this system and experimentally a change of the effective mass is observed for different radii. We found that the inclusion of the position-dependent mass, particularly a radial change in the mass distribution, can induce a significant change in the transport properties of the system, which reveals that the transport properties of two dimensional quantum systems are sensitive to the PDM and when modeling electronic transport in surfaces this effects should be considered.

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。

↑