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arXiv 1507.00488cond-mat.mes-hall
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石墨烯中手征零能模的临界离域

Critical delocalization of chiral zero energy modes in graphene

Aires Ferreira, Eduardo R. Mucciolo

摘要:

据信经历手性对称无序的石墨烯具有对局部化有弹性的零能量模式(ZEM),如通过基础非线性西格玛模型的重整化群分析所建议的。我们报告准确的量子输运计算蜂窝晶格超过$10^{9}$网站和精细meV的分辨率。发现空位缺陷(手性BDI类)引起的ZEM的Kubo直流电导率在1%的精度内匹配$4e^{2}/πh$,在能级加宽和空位浓度的参数宽窗口。我们的研究结果揭示了石墨烯中前所未有的强大的金属制度,提供了强有力的证据表明,BDI类的早期场论图像是有效的,远远超出其控制的弱耦合制度。

英文摘要:

Graphene subjected to chiral-symmetric disorder is believed to host zero energy modes (ZEMs) resilient to localization, as suggested by the renormalization group analysis of the underlying nonlinear sigma model. We report accurate quantum transport calculations in honeycomb lattices with in excess of $10^{9}$ sites and fine meV resolutions. The Kubo dc conductivity of ZEMs induced by vacancy defects (chiral BDI class) is found to match $4e^{2}/πh$ within 1% accuracy, over a parametrically wide window of energy level broadenings and vacancy concentrations. Our results disclose an unprecedentedly robust metallic regime in graphene, providing strong evidence that the early field-theoretical picture for the BDI class is valid well beyond its controlled weak-coupling regime.

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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