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arXiv 1208.0822cond-mat.mes-hall
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石墨烯中线性缺陷的散射:连续介质方法

Scattering by linear defects in graphene: a continuum approach

J. N. B. Rodrigues, N. M. R. Peres, J. M. B. Lopes dos Santos

摘要:

研究了低能电子在石墨烯周期性扩展缺陷上的输运。在连续低能量极限,这样的缺陷作为无限薄的条纹分开两个区域,狄拉克哈密顿量管理的低能量现象。这些系统的行为是由无质量狄拉克费米子上的缺陷所施加的边界条件所定义的。我们演示了如何从紧束缚模型的缺陷线计算这种低能量的边界条件。为了简单起见,我们考虑沿Z字形方向取向的缺陷线,这只需要考虑狄拉克方程的一个副本。研究了三种这种缺陷线,并表明它们之间是可映射的:仅五边形,zz(558)和zz(5757)缺陷线。此外,在相同的限制下,我们计算了尺寸为L的缺陷线的电导,发现它在低温下与k_FL成正比。

英文摘要:

We study the low-energy electronic transport across periodic extended defects in graphene. In the continuum low-energy limit, such defects act as infinitesimally thin stripes separating two regions where Dirac Hamiltonian governs the low-energy phenomena. The behavior of these systems is defined by the boundary condition imposed by the defect on the massless Dirac fermions. We demonstrate how this low-energy boundary condition can be computed from the tight-binding model of the defect line. For simplicity we consider defect lines oriented along the zigzag direction, which requires the consideration of only one copy of Dirac equation. Three defect lines of this kind are studied and shown to be mappable between them: the pentagon-only, the zz(558) and the zz(5757) defect lines. In addition, in this same limit, we calculate the conductance across such defect lines with size L, and find it to be proportional to k_FL at low temperatures.

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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