论文标题
在存在面内径向电气和垂直磁场的情况下，石墨烯中的Landau水平塌陷
Landau level collapse in graphene in the presence of in-plane radial electric and perpendicular magnetic fields
论文作者
论文摘要
众所周知，在放置在正交统一的磁场和电场中的二维相对论狄拉克系统中，随着应用的平面内电场达到临界值$ \ pm e_c $，兰道水平崩溃了。我们研究了这种现象，用于使用平面内恒定径向电场的不同场构型。此配置的狄拉克方程不允许根据已知特殊功能进行分析解决方案。结果是通过使用WKB近似和精确的对角线和射击方法获得的。结果表明，对于总角动量量子数的正值而发生的崩溃，当电场达到值$ +（ - ）E_C/2 $时，孔（电子）样孔（电子）样水平塌陷。对于毛石墨烯而言，对Landau水平崩溃的研究表明，与无间隙的情况相比，许多独特的特征。
It is known that in two-dimensional relativistic Dirac systems placed in orthogonal uniform magnetic and electric fields, the Landau levels collapse as the applied in-plane electric field reaches a critical value $\pm E_c$. We study this phenomenon for a distinct field configuration with in-plane constant radial electric field. The Dirac equation for this configuration does not allow analytical solutions in terms of known special functions. The results are obtained by using both the WKB approximation and the exact diagonalization and shooting methods. It is shown that the collapse occurs for positive values of the total angular momentum quantum number, the hole (electron)-like Landau levels collapse as the electric field reaches the value $ +(-) E_c/2$. The investigation of the Landau level collapse in the case of gapped graphene shows a number of distinctive features in comparison with the gapless case.
