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arXiv · 1608.01996

Two dimensional spin liquids with $\mathbb{Z}_2$ topological order in an array of quantum wires

Aavishkar A. Patel·Debanjan Chowdhury
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Abstract

Insulating $\mathbb{Z}_2$ 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 $\mathbb{Z}_2$ 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 $\mathbb{Z}_2$ spin-liquid to a Fermi-liquid via a Kondo-like coupling.

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Aavishkar A. Patel, Debanjan Chowdhury. 2016-08-05. Two dimensional spin liquids with $\mathbb{Z}_2$ topological order in an array of quantum wires. https://doi.org/10.1103/physrevb.94.195130

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