介观多边形中电子光谱和持续电流的几何效应
The Geometrical Effects on Electronic Spectrum and Persistent Currents in Mesoscopic Polygon
摘要：
本文提出了一种新的角点光滑过渡的介观多边形。由于结构的特殊性，这种介观多边形也可以是几何超晶格。研究了在有磁通量存在的情况下，几何效应对电子态和持续电流的影响。我们发现，特定的几何结构的多边形诱导一个有效的周期性的潜力，导致在能谱中的差距。间隙的变化与新多边形的几何二重性一致。这种电子结构和相应的物理性质被发现是周期性的周期$ϕ_{0}$的磁通量$ϕ$，可以控制的几何方法。我们还考虑了Rahsba自旋-轨道相互作用，它使能级新分裂加倍，并导致在持续电流的一个周期内出现一个额外的小锯齿。这些新现象对今后量子器件的设计有一定的指导意义。
英文摘要：
In this paper, a new mesoscopic polygon which possesses smooth transition at its corners is proposed. Because of the particularity of structure, this kind of mesoscopic polygon can also be a geometrical supperlattice. The geometrical effects on the electron states and persistent current are investigated comprehensively in the presence of magnetic flux. We find that the particular geometric structure of the polygon induces an effective periodic potential which results in gaps in the energy spectrum. The changes of gaps show the consistency with the geometrical twoness of this new polygon. This electronic structure and the corresponding physical properties are found to be periodic with period $ϕ_{0}$ in the magnetic flux $ϕ$ and can be controlled by the geometric method. We also consider the Rahsba spin-orbit interaction which make the energy levels splitting newly to double and leads to an additional small zigzag in one period of the persistent current. These new phenomena may be useful for the applications in quantum device design in the future.
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