arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1602.08095cond-mat.mes-hallquant-ph

AA-stacked Bilayer Graphene Quantum Dots in Magnetic Field

Abdelhadi Belouad, Youness Zahidi, Ahmed Jellal

英文摘要:

By applying the infinite-mass boundary condition, we analytically calculate the confined states and the corresponding wave functions of AA-stacked bilayer graphene quantum {dots} in the presence of an uniform magnetic field $B$. It is found that the energy spectrum shows two set of levels, which are the double copies of the energy spectrum for single layer graphene, shifted up-down by $+γ$ and $-γ$, respectively. However, the obtained spectrum exhibits different symmetries between the electron and hole states as well as the intervalley symmetries. It is noticed that, the applied magnetic field breaks all symmetries, except one related to the intervalley electron-hole symmetry, i.e. $E^e(τ,m)=-E^h(τ,m)$. Two different regimes of confinement are found: the first one is due to the infinite-mass barrier at weak $B$ and the second is dominated by the magnetic field as long as $B$ is large. We numerically investigated the basics features of the energy spectrum to show the main similarities and differences with respect to monolayer graphene, AB-stacked bilayer graphene and semiconductor quantum dots.

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。

↑