Non-Abelian Anyon Statistics through ac Conductance of a Majorana Interferometer

Phys Rev Lett. 2024 Oct 4;133(14):146604. doi: 10.1103/PhysRevLett.133.146604.

Abstract

Demonstrating the non-Abelian Ising anyon statistics of Majorana zero modes in a physical platform still represents a major open challenge in physics. We here show that the linear low-frequency charge conductance of a Majorana interferometer containing a floating superconducting island can reveal the topological spin of quantum edge vortices. The latter are associated with chiral Majorana fermion edge modes and represent "flying" Ising anyons. We describe possible device implementations and outline how to detect non-Abelian anyon braiding through ac conductance measurements.