Anyons in a weakly interacting system

Details Anyons in a weakly interacting system Anyons in a weakly interacting system

2007-02-28

arxiv.org/abs/cond-mat/0703001v1

Nature Phys. 3, 796 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages with 3 figures. For related work and info visit http://www.physics.ubc.ca/~franz

Scientific paper

10.1038/nphys730

We describe a theoretical proposal for a system whose excitations are anyons with the exchange phase pi/4 and charge -e/2, but, remarkably, can be built by filling a set of single-particle states 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 unit filling fraction. The proposal rests on the observation that a vacancy in an otherwise periodic vortex lattice in the superconductor creates a bound state in the 2DEG with total charge -e/2. A composite of this fractionally charged hole and the missing flux due to the vacancy behaves as an anyon. The proposed setup allows for manipulation of these anyons and could prove useful in various schemes for fault-tolerant topological quantum computation.

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