Institute for Mathematical Physics, TU Braunschweig, D-38106 Braunschweig, Germany.
Laboratory for Emerging Nanometrology Braunschweig, D-38106 Braunschweig, Germany.
Phys Rev Lett. 2015 Dec 11;115(24):246403. doi: 10.1103/PhysRevLett.115.246403. Epub 2015 Dec 8.
A phase from an adiabatic exchange of Majorana bound states (MBS) reveals their exotic anyonic nature. For detecting this exchange phase, we propose an experimental setup consisting of a Corbino geometry Josephson junction on the surface of a topological insulator, in which two MBS at zero energy can be created and rotated. We find that if a metallic tip is weakly coupled to a point on the junction, the time-averaged differential conductance of the tip-Majorana coupling shows peaks at the tip voltages eV=±(α-2πl)ℏ/T_{J}, where α=π/2 is the exchange phase of the two circulating MBS, T_{J} is the half rotation time of MBS, and l an integer. This result constitutes a clear experimental signature of Majorana fermion exchange.
马约拉纳束缚态(MBS)的绝热交换过程呈现出其奇特的任意子性质。为了探测这一交换相位,我们提出了一个实验设置,由拓扑绝缘体表面上的科宾诺几何约瑟夫森结组成,其中可以创建和旋转两个零能 MBS。我们发现,如果一个金属尖端与结上的一个点弱耦合,则尖端-马约拉纳耦合的时间平均微分电导在尖端电压 eV=±(α-2πl)ℏ/T_{J}处出现峰值,其中 α=π/2 是两个循环 MBS 的交换相位,T_{J}是 MBS 的半旋转时间,l 是整数。这一结果构成了马约拉纳费米子交换的明确实验特征。