Kim S C, Yang S-R Eric
J Nanosci Nanotechnol. 2015 Oct;15(10):8238-42. doi: 10.1166/jnn.2015.11252.
We investigate the Coulomb impurity problem of graphene in strong coupling limit in the presence of magnetic fields. When the strength of the Coulomb potential is sufficiently strong the electron of the lowest energy boundstate of the n = 0 Landau level may fall to the center of the potential. To prevent this spurious effect the Coulomb potential must be regularized. The scaling function for the inverse probability density of this state at the center of the impurity potential is computed in the strong coupling regime. The dependence of the computed scaling function on the regularization parameter changes significantly as the strong coupling regime is approached.
我们研究了存在磁场时石墨烯在强耦合极限下的库仑杂质问题。当库仑势的强度足够强时，n = 0朗道能级最低能量束缚态的电子可能会落到势阱中心。为了防止这种虚假效应，必须对库仑势进行正则化。在强耦合 regime 中计算了该状态在杂质势中心处的逆概率密度的标度函数。随着接近强耦合 regime，计算得到的标度函数对正则化参数的依赖性会发生显著变化。
