arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.10655cond-mat.mes-hallquant-ph
收藏

带隙石墨烯静电限制的态密度分析

Density of States Analysis of Electrostatic Confinement in Gapped Graphene

Ahmed Bouhlal, Abdelhadi Belouad, Ahmed Jellal, Hocine Bahlouli

摘要:

研究了在磁通量作用下带隙石墨烯量子点中载流子的静电约束。圆形量子点由在无限石墨烯片中界定的静电栅极电势限定,该无限石墨烯片然后连接到两端设置。考虑到不同的区域组成我们的系统,我们明确地确定的Hankel函数的能谱的解决方案。使用散射矩阵与Hankel函数的渐近行为的大参数,我们计算的状态密度,并表明它有一个振荡的行为与外观的共振峰。发现能隙可以控制这些共振的振幅和宽度,并影响它们在态密度分布中的位置。

英文摘要:

We investigate the electrostatic confinement of charge carriers in a gapped graphene quantum dot in the presence of a magnetic flux. The circular quantum dot is defined by an electrostatic gate potential delimited in an infinite graphene sheet which is then connected to a two terminal setup. Considering different regions composing our system, we explicitly determine the solutions of the energy spectrum in terms of Hankel functions. Using the scattering matrix together with the asymptotic behavior of the Hankel functions for large arguments, we calculate the density of states and show that it has an oscillatory behavior with the appearance of resonant peaks. It is found that the energy gap can controls the amplitude and width of these resonances and affect their location in the density of states profile.

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。

↑