Numerical evidence indicates that non-Abelian braiding of quasiholes is possible within the Abelian Laughlin phase at ν=1/3 using realistic two-body interactions and electrostatic trapping.
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Non-Abelian braiding in Abelian Fractional Quantum Hall Phases from realistic interactions
Numerical evidence indicates that non-Abelian braiding of quasiholes is possible within the Abelian Laughlin phase at ν=1/3 using realistic two-body interactions and electrostatic trapping.