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arXiv 0711.3748cond-mat.mes-hallcond-mat.str-el
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弱无序对石墨烯态密度的影响

On the effect of weak disorder on the density of states in graphene

B. Dóra, K. Ziegler, P. Thalmeier

摘要:

研究了弱势和键无序对石墨烯态密度的影响。通过比较蜂窝晶格上的自洽非交叉近似和狄拉克费米子上的微扰理论,我们得出结论,纯石墨烯的线态密度变化为非普适的幂律,其指数依赖于无序的强度,如1- 4 g/sqrt{3}t^2π,其中g为高斯无序的方差,t为跳跃积分。这可以导致在弱无序极限的状态密度的指数的显着抑制。我们认为,即使是一个非线性的状态密度可以导致电导率与载流子的数量成正比,根据实验结果。

英文摘要:

The effect of weak potential and bond disorder on the density of states of graphene is studied. By comparing the self-consistent non-crossing approximation on the honeycomb lattice with perturbation theory on the Dirac fermions, we conclude, that the linear density of states of pure graphene changes to a non-universal power-law, whose exponent depends on the strength of disorder like 1-4g/sqrt{3}t^2π, with g the variance of the Gaussian disorder, t the hopping integral. This can result in a significant suppression of the exponent of the density of states in the weak-disorder limit. We argue, that even a non-linear density of states can result in a conductivity being proportional to the number of charge carriers, in accordance with experimental findings.

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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