CAJ | 학술논문

我们采用狄拉克-韦尔(Dirac-Weyl)模型,计算出二维石墨烯基磁量子环和磁量子点分别在垂直非均匀磁场下的低态能谱,并讨论包括两组旋量分量的低态能谱跟磁场的依赖关系.从直接对角计算法所获得的数值结果表明,在非均匀磁场下,磁量子点和磁量子环的能谱中的最低朗道能级(N-=0)皆为高度简并,且数值恒等为零.在其邻近较高的朗道能级,磁量子环出现了由磁场诱导的轨道角动量间的跃迁,而磁量子点则没有.最后本文指出,除了最低朗道能级(N-=0)外,两组旋量分量的能谱完全一样,只是其朗道能级所标记的两组量子数不同而已.
아문채용적랍극-위이(Dirac-Weyl)모형,계산출이유석묵희기자양자배화자양자점분별재수직비균균자장하적저태능보,병토론포괄량조선량분량적저태능보근자장적의뢰관계.종직접대각계산법소획득적수치결과표명,재비균균자장하,자양자점화자양자배적능보중적최저랑도능급(N-=0)개위고도간병,차수치항등위령.재기린근교고적랑도능급,자양자배출현료유자장유도적궤도각동량간적약천,이자양자점칙몰유.최후본문지출,제료최저랑도능급(N-=0)외,량조선량분량적능보완전일양,지시기랑도능급소표기적량조양자수불동이이.
Using the Dirac-Weyl model,we present the magnetic-field dependence of low-lying spectra of two-dimensional graphene-based magnetic dot and ring,including both spinor components,creating from perpendicular inhomogeneous magnetic fields.Numerical results obtained from direct diagonalization show that,under inhomogeneous magnetic fields,the lowest Landau level ( N-=0 ) is highly degenerate at zero energy,and for the other higher neighboring Landau levels,there exist angular momentum transitions induced by magnetic fields for the magnetic ring but not for the magnetic dot.Furthermore,the low-lying spectra for both spinor components,except for N- =0,are exactly the same only with the states labeled by different sets of quantum numbers.