Mutual information and correlations across topological phase transitions in topologically ordered graphene zigzag nanoribbons
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.
Keywords
Cite
@article{arxiv.2310.08970,
title = {Mutual information and correlations across topological phase transitions in topologically ordered graphene zigzag nanoribbons},
author = {In-Hwan Lee and Hoang-Anh Le and S. -R. Eric Yang},
journal= {arXiv preprint arXiv:2310.08970},
year = {2023}
}
Comments
A featured paper published in a special issue titled 'Entanglement Entropy and Quantum Phase Transitions' within the journal 'Entropy'. (This is the published version.)