2018/08/27 by Sang‐Jun Choi, H.-S. Sim, Choi, Sang-Jun +1
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum and electron transport phenomena #Quantum many-body systems #Topological Materials and Phenomena
paper · pdf · doi:10.48550/arxiv.1808.08714
openalex publication_date 2018/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Demonstration of non-Abelian anyon statistics often requires dynamical controls of a complicated device that are challenging in realistic situations. We propose a \it single Josephson junction to detect a non-Abelian statistics effect of Majorana fermions, formed by two finite-size s-wave superconductors on a topological insulator under a magnetic field. At certain field strengths, a train of three localized Majorana fermions appears along the junction, while an extended chiral Majorana fermion encircles the train and the superconductors. A DC voltage bias across the junction causes the train to move and collide with the extended Majorana fermion. This involves interchange of fusion partners among the four Majorana fermions, leading to non-Abelian state evolution. The evolution gives rise to a 2nπ fractional AC Josephson effect with an arbitrary integer n≥2 tunable by the voltage.