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arXiv 2310.08970cond-mat.mes-hallcond-mat.stat-mechquant-ph
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拓扑有序石墨烯zigzag纳米带中拓扑相变间的互信息与关联

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

In-Hwan Lee, Hoang-Anh Le, S. -R. Eric Yang

AI总结:

本研究计算了石墨烯zigzag纳米带在拓扑相变过程中的互信息,揭示了拓扑有序相及交叠相中不同手性碳线间的纠缠特征与变化规律。

摘要:

初始处于拓扑有序态的石墨烯zigzag纳米带,经历拓扑相变进入以准拓扑序为特征的交叠相。我们计算了拓扑有序相及其交叠相的互信息,得到以下结果:(i) 在拓扑有序相中,A手性碳线与zigzag带对侧的B手性碳线强烈纠缠。这种纠缠在交叠相中持续存在但减弱。(ii) zigzag上边缘与纳米带对侧不同手性的非边缘线纠缠。(iii) 无论碳线的手性如何,将更多碳线组合在一起时纠缠增加。在无序的情况下,对称保护相中未发现长程纠缠。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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