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

Autor: Lee, In-Hwan, Le, Hoang-Anh, Yang, S. -R. Eric
Rok vydání: 2023
Předmět:
Zdroj: Entropy 2023, 25(10), 1449
Druh dokumentu: Working Paper
DOI: 10.3390/e25101449
Popis: 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.
Comment: A featured paper published in a special issue titled 'Entanglement Entropy and Quantum Phase Transitions' within the journal 'Entropy'. (This is the published version.)
Databáze: arXiv
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