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.

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

References in corpus (5)

• The electronic properties of graphene
• Identifying Topological Order by Entanglement Entropy
• Topological gap states of semiconducting armchair graphene ribbons
• Charged Topological Solitons in Zigzag Graphene Nanoribbons
• Topological end states and Zak phase of rectangular armchair ribbon

Cited by in corpus (5)

• Mutual information and correlations across topological phase transitions in topologically ordered graphene zigzag nanoribbons
• New disordered anyon phase of doped graphene zigzag nanoribbon
• Entropy and Seebeck signals meet on the edges
• Instantons and topological order in two-leg electron ladders: A universality class
• Quantum Entanglement of Anyonic Charges and Emergent Spacetime Geometry