Anyons in a weakly interacting system

Abstract

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.

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

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• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Fractionalization in a square-lattice model with time-reversal symmetry
• Topological order in a correlated Chern insulator
• Experimental simulation of anyonic fractional statistics with an NMR quantum information processor
• Encoding a one-dimensional topological gauge theory in a Raman-coupled Bose-Einstein condensate
• Fractional statistics of topological defects in graphene and related structures
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• One-dimensional anyons with competing $\delta$-function and derivative $\delta$-function potentials
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• Symmetry-protected localized states at defects in non-Hermitian systems
• Anyons in integer quantum Hall magnets
• Non-Abelian fermion parity interferometry of Majorana bound states in a Fermi sea
• $\pi$-fluxes, semi-metals and flat bands in artificial materials
• Aharonov-Bohm effect in relativistic and nonrelativistic 2D electron gas: a comparative study
• Modeling free anyons at the bosonic and fermionic ends
• Correlation of Dirac potentials and atomic inversion in cavity quantum electrodynamics
• Vortex control in superconducting Corbino geometry networks
• Berry phase for a Bose gas on a one-dimensional ring
• Synthetic anyons in noninteracting systems
• The effect of impurities on spin polarized Zeeman bound states in dilute magnetic semiconductor-superconductor hybrids
• Flexible Amorphous Superconducting Materials and Quantum Devices with Unexpected Tunability
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• Fractional topological excitations and quantum phase transition in a bilayer 2DEG adjacent to a superconductor film
• Exciton condensation and fractional charge in a bilayer two-dimension electron gas adjacent to a superconductor film
• Theory of Hofstadter Superconductors
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