Park Jinhong, Spånslätt Christian, Gefen Yuval, Mirlin Alexander D
Institute for Theoretical Physics, University of Cologne, Zülpicher Strasse 77, 50937 Köln, Germany.
Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel.
Phys Rev Lett. 2020 Oct 9;125(15):157702. doi: 10.1103/PhysRevLett.125.157702.
The recent measurement of a half-integer thermal conductance for the ν=5/2 fractional quantum Hall state has confirmed its non-Abelian nature, making the question of the underlying topological order highly intriguing. We analyze the shot noise at the edge of the three most prominent non-Abelian candidate states. We show that the noise scaling with respect to the edge length can, in combination with the thermal conductance, be used to experimentally distinguish between the Pfaffian, anti-Pfaffian, and particle-hole-Pfaffian edge structures.
最近对ν = 5/2分数量子霍尔态的半整数热导率的测量证实了其非阿贝尔性质，这使得潜在拓扑序的问题极具吸引力。我们分析了三种最突出的非阿贝尔候选态边缘处的散粒噪声。我们表明，噪声相对于边缘长度的标度，结合热导率，可用于通过实验区分Pfaffian、反Pfaffian和粒子-空穴-Pfaffian边缘结构。
