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arXiv 2108.01159cond-mat.mes-hallquant-ph
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磁通量和静电势作用下石墨烯带隙圆盘的隧穿效应

Tunneling Effect in Gapped Graphene Disk in Magnetic Flux and Electrostatic Potential

A. Babe Cheikh, A. Bouhlal, A. Jellal, E. H. Atmani

摘要:

我们调查的隧道效应的Corbino磁盘在石墨烯中的存在下的可变磁通量$Φ_{i}$创建的螺线管刺穿内磁盘的影响下,在磁盘区域的有限质量项$ (R_1< r<R_2) $和静电势。考虑到不同的区域,我们明确地确定相关的本征旋量的汉克尔函数。使用匹配条件和渐近行为的汉克尔函数的大参数,使我们能够计算传输和其他运输量。我们的研究结果表明,能隙抑制隧道效应,通过创建零传输对应的最大散粒噪声峰的Fano因子$ F $量化的奇点。作为半径比$ R_2/R_1 $的函数的透射率随着周期和振幅的减小而变得振荡。对于大的能隙值,它甚至可以达到1(克莱因隧穿)。观察到在点$ k_F R_1=R_1 δ$处出现最小电导。最后我们发现静电势可以控制带隙的影响。

英文摘要:

We investigate the tunneling effect of a Corbino disk in graphene in the presence of a variable magnetic flux $Φ_{i}$ created by a solenoid piercing the inner disk under the effect of a finite mass term in the disk region $ (R_1< r<R_2) $ and an electrostatic potential. Considering different regions, we explicitly determine the associated eigenspinors in terms of Hankel functions. The use of matching conditions and asymptotic behavior of Hankel functions for large arguments, enables us to calculate transmission and other transport quantities. Our results show that the energy gap suppresses the tunneling effect by creating singularity points of zero transmission corresponding to the maximum shot noise peaks quantified by the Fano factor $ F $. The transmission as a function of the radii ratio $ R_2/R_1 $ becomes oscillatory with a decrease in periods and amplitudes. It can even reach one (Klein tunneling) for large values of the energy gap. The appearance of the minimal conductance at the points $ k_F R_1=R_1 δ$ is observed. Finally we find that the electrostatic potential can control the effect of the band gap.

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。

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