Mutual information and correlations across topological phase transitions in topologically ordered graphene zigzag nanoribbons

• URL: http://arxiv.org/abs/2310.08970v2
• Date: Sat, 21 Oct 2023 04:54:09 GMT
• Title: Mutual information and correlations across topological phase transitions in topologically ordered graphene zigzag nanoribbons
• Authors: In-Hwan Lee, Hoang-Anh Le, and S.-R. Eric Yang
• Abstract summary: Graphene zigzag nanoribbons undergo a topological phase transition into crossover phases distinguished by quasi-topological order. Entanglement increases as more carbon lines are grouped together, regardless of the lines' chirality. No long-range entanglement was found in the symmetry-protected phase in the absence of disorder.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Graphene zigzag nanoribbons, initially in a topologically ordered state, undergo a topological phase transition into crossover phases distinguished by quasi-topological order. We computed mutual information for both the topologically ordered phase and its crossover phases, revealing the following results: (i) In the topologically ordered phase, A-chirality carbon lines strongly entangle with B-chirality carbon lines on the opposite side of the zigzag ribbon. This entanglement persists but weakens in crossover phases. (ii) The upper zigzag edge entangles with non-edge lines of different chirality on the opposite side of the ribbon. (iii) Entanglement increases as more carbon lines are grouped together, regardless of the lines' chirality. No long-range entanglement was found in the symmetry-protected phase in the absence of disorder.

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