论文标题
准焊接制度中的两个点量子岛
Two-sites quantum island in the quasi-ballistic regime
论文作者
论文摘要
量子霍尔边缘通道可以与金属区域结合使用，以将电子分数化并形成相关的杂质模型。我们研究了一个最小的设备，该设备已在实验中实现，其中两个浮岛通过整数量子厅策略中的量子点接触连接到三个边缘通道。在量子点触点的高透明度下，我们建立了对边界正弦模型的映射，从而揭示了量子临界点的性质。我们从该映射的通用表达式中对电导和噪声的绘制得出，与实验发现一致，并讨论了每个岛屿的近野筛筛选与它们之间电子合作传递之间的竞争。我们进一步预测，以有限电压偏置运行的设备会产生分数费用$ e^* = e/3 $，并提出对$ n $岛的概括，并带有分数费用$ e^* = e/（n+1）$。
Quantum Hall edge channels can be combined with metallic regions to fractionalize electrons and form correlated impurity models. We study a minimal device, that has been experimentally achieved quite recently, with two floating islands connected to three edge channels via quantum point contacts in the integer quantum Hall regime. At high transparency of the quantum point contacts, we establish a mapping to the boundary sine-Gordon model and thereby reveal the nature of the quantum critical point. We deduce from this mapping universal expressions for the conductance and noise, in agreement with the experimental findings, and discuss the competition between Kondo-like screening of each individual island and the cooperative transfer of electrons between them. We further predict that the device operated at finite voltage bias produces fractional charges $e^* =e/3$ and propose a generalization to $N$ islands with the fractional charge $e^* =e/(N+1)$.
