论文标题
$α-\ Mathcal {t} _3 $量子点的电子特性
Electronic Properties of $α-\mathcal{T}_3$ Quantum Dots in Magnetic Fields
论文作者
论文摘要
我们处理二维$α-\ MATHCAL {T} _3 $晶格中量子点的电子性质。通过实施无限的质量边界条件，我们首先解决了在低能，长波长近似中孤立的量子点的特征值问题，其中由有效的狄拉克样汉密尔顿（Hamiltonian）描述了该系统，该系统被有效的类似狄拉克（Dirac）的汉密尔顿（Pseudospin 1/2）和dice（pseudospin 1/2）之间的插值（Pseudospin 1）。将结果与完整的数值（有限质量）紧密结合晶格计算进行比较。在第二步中，我们通过计算磁场中的$α-\ Mathcal {t} _3 $量子点来分析电荷传输，通过计算磁场的局部密度以及内核多项式和Landauer-Büttiker中的局部密度和电导。因此，也讨论了无序环境的影响。
We address the electronic properties of quantum dots in the two-dimensional $α-\mathcal{T}_3$ 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 $α-\mathcal{T}_3$ 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.
