Anyons in a weakly interacting system

ORAL

Abstract

Anyons -- particles with fractional exchange statistics -- are known to emerge as excitations in certain strongly correlated two dimensional systems such as the fractional quantum Hall liquids. Here we describe a theoretical proposal for a system whose excitations are anyons with the exchange phase $\pi/4$, but, remarkably, can be thought of as a composite of essentially noninteracting electrons. The system consists of an artificially structured type-II superconducting film adjacent to a 2D electron gas in the integer quantum Hall regime with filling fraction 1. The proposal is based on the observation that a vacancy in an otherwise periodic vortex lattice creates a bound state in 2DEG with total charge $-e/2$.

Authors

  • Conan Weeks

    University of British Columbia

  • Babak Seradjeh

    University of British Columbia

  • Marcel Franz

    University of British Columbia