Coupled Wire Model of Z₂× Z₂<i> </i>Orbifold Quantum Hall States

We construct a coupled wire model for a sequence of non-Abelian quantum Hall states occurring at filling factors ν=2/(2M+q) with integers M and even(odd) integers q for fermionic(bosonic) states. They are termed Z₂ × Z₂ orbifold states, which have a topological order with a neutral sector described by the c=1 orbifold conformal field theory (CFT) at radius R²=p/2 with even integers p. When p=2, the state can be viewed as two decoupled layers of Moore-Read (MR) state, whose neutral sector is described by the Ising × Ising CFT and contains a Z₂ × Z₂ fusion subalgebra. We demonstrate that orbifold states with p > 2, also containing a Z₂ × Z₂ fusion algebra, can be obtained by coupling an array of MR × MR wires together through local interactions. The corresponding charge spectrum of quasiparticles is also examined. The orbifold states constructed here are complementary to the Z₄ orbifold states, whose neutral edge theory is described by orbifold CFT with odd integer p and contains a Z₄ fusion algebra.