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Two dimensional spin liquids with Z₂ topological order in an array of quantum wires

Abstract

Insulating Z₂ spin liquids are a phase of matter with bulk anyonic quasiparticle excitations and ground state degeneracies on manifolds with non-trivial topology. In this paper, we construct a time-reversal symmetric Z₂ spin liquid in two spatial dimensions using an array of quantum wires. We identify the anyons as kinks in the appropriate Luttinger-liquid description, compute their mutual statistics and construct local operators that transport these quasiparticles. We also present a construction of a fractionalized Fermi-liquid (FL*) by coupling the spin sector of the Z₂ spin-liquid to a Fermi-liquid via a Kondo-like coupling.

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