The European Physical Journal B ( IF 1.6 ) Pub Date : 2020-09-07 , DOI: 10.1140/epjb/e2020-10178-2 Alexander Filusch , Holger Fehske
Abstract
We address the electronic properties of quantum dots in the two-dimensional α − 𝒯3 lattice when subjected to a perpendicular magnetic field. Implementing an infinite mass boundary condition, we first solve the eigenvalue problem for an isolated quantum dot in the low-energy, long-wavelength approximation where the system is described by an effective Dirac-like Hamiltonian that interpolates between the graphene (pseudospin 1/2) and Dice (pseudospin 1) limits. Results are compared to a full numerical (finite-mass) tight-binding lattice calculation. In a second step we analyse charge transport through a contacted α − 𝒯3 quantum dot in a magnetic field by calculating the local density of states and the conductance within the kernel polynomial and Landauer-Büttiker approaches. Thereby the influence of a disordered environment is discussed as well.
Graphical abstract
中文翻译:
磁场中α−𝒯3量子点的电子性质
摘要
我们解决量子点在二维电子性质α - 𝒯 3当受到一个垂直磁场晶格。实施无限质量边界条件,我们首先解决低能,长波近似中的孤立量子点的特征值问题,该系统由有效的狄拉克型哈密顿量来描述,该哈密顿量介于石墨烯之间(伪纺丝1/2 )和骰子(伪旋转1)限制。将结果与完整的数值(有限质量)紧密绑定晶格计算进行比较。在第二个步骤中,我们分析电荷输送通过接触α - 𝒯 3通过计算核的多项式内的态的局部密度和电导以及Landauer-Büttiker方法来计算磁场中的量子点。因此,还讨论了无序环境的影响。