Transition from Abelian to non-Abelian FQHE states

Details Transition from Abelian to non-Abelian FQHE states Transition from Abelian to non-Abelian FQHE states

2000-06-21

arxiv.org/abs/cond-mat/0006328v2

Eur. Phys. J. B 19, 21-24 (2001)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, RevTeX

Scientific paper

10.1007/s100510170346

We study the transition from the Abelian multi-component (3,3,1) quantum Hall state to the non-Abelian one component Pfaffian state in bilayer two dimensional electron systems. We show that tunneling between layers can induce this transition. At the transition points part of the degrees of freedom that describe the (3,3,1) state disappear from the spectrum, and the system is correctly described by the Pfaffian state, with quasi-particles that satisfy non-Abelian statistics. The mechanism described in this work provides for a physical Hamiltonian interpretation of the algebraic projection from the (3,3,1) to the Pfaffian state that has been discussed in the literature.

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