TRANSITION FROM ABELIAN TO NON-ABELIAN FQHE STATES

D. C. CABRA; A. LOPEZ; G. L. ROSSINI

EUROPEAN PHYSICAL JOURNAL B - CONDENSED MATTER

European Physical Society

Lugar: Bruselas; Año: 2001 vol. 19 p. 21 - 24

1434-6028

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