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arXiv 1407.7501cond-mat.mes-hallhep-th
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基于量纲正则化的石墨烯最小电导率的相互作用修正

Interaction corrections to the minimal conductivity of graphene via dimensional regularization

S. Teber, A. V. Kotikov

摘要:

我们借助维度正则化计算了无无序本征石墨烯最小电导率的双环相互作用修正。计算采用两种不同的方法:密度-密度关联函数和电流-电流关联函数。在对微扰理论进行适当的重整化后,在这两种情况下,我们发现:$σ= σ_0\,( 1 + \al\,(19-6π)/12) \approx σ_0 \,(1 + 0.01\, \al)$,其中$\al = e^2 / (4 π\hbar v)$是重整化精细结构常数,$σ_0 = e^2 / (4 \hbar)$。我们的结果是一致的实验不确定性和解决理论争议。

英文摘要:

We compute the two-loop interaction correction to the minimal conductivity of disorder-free intrinsic graphene with the help of dimensional regularization. The calculation is done in two different ways: via density-density and via current-current correlation functions. Upon properly renormalizing the perturbation theory, in both cases, we find that: $σ= σ_0\,( 1 + \al\,(19-6π)/12) \approx σ_0 \,(1 + 0.01\, \al)$, where $\al = e^2 / (4 π\hbar v)$ is the renormalized fine structure constant and $σ_0 = e^2 / (4 \hbar)$. Our results are consistent with experimental uncertainties and resolve a theoretical dispute.

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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