Topological entanglement entropy of interacting disordered zigzag graphene ribbons

Abstract

Interacting disordered zigzag graphene nanoribbons have fractional charges, are quasi-one-dimensional, and display an exponentially small gap. Our numerical computations showed that the topological entanglement entropy of these systems has a small finite but universal value, independent of the strength of the interaction and the disorder. The result that was obtained for the topological entanglement entropy shows that the disorder-free phase is critical and becomes unstable in the presence of disorder.

arXiv comment4 pages, 4 figures, new figures added; to be published in PRB

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• Quantum Entanglement of Anyonic Charges and Emergent Spacetime Geometry