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arXiv 1407.6964cond-mat.mes-hall
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掺杂石墨烯中费米速度的动力学扩散和重整化群方程

Dynamical diffusion and renormalization group equation for the Fermi velocity in doped graphene

Juan Sebastian Ardenghi, Pablo Bechthold, Paula Jasen, Estela Gonzalez, Alfredo Juan

摘要:

本工作的目的是通过引入线性色散关系和旋量波函数的线性响应理论来研究含杂质石墨烯中的电子输运。电流响应和密度响应函数的推导和计算的玻尔兹曼极限,表明在前一种情况下,最小电导率出现在无无序极限。反过来,从这两个函数的推广,可以获得一个精确的关系,涉及两者。将这个结果与连续性方程给出的关系相结合,就有可能得到扩散极点的一般函数行为。最后,利用松弛函数的定义计算了准静态极限下的动力学扩散。为了正则化红外发散,必须引入一个较低的截止值,这样我们就可以得到一个完整的费米速度的重整化群方程,并求解到O(h^2)阶。

英文摘要:

The aim of this work is to study the electron transport in graphene with impurities by introducing a generalization of linear response theory for linear dispersion relations and spinor wave functions. Current response and density response functions are derived and computed in the Boltzmann limit, showing that in the former case, a minimum conductivity appears in the no-disorder limit. In turn, from the generalization of both functions, an exact relation can be obtained that relates both. Combining this result with the relation given by the continuity equation, it is possible to obtain general functional behavior of the diffusion pole. Finally, a dynamical diffusion is computed in the quasistatic limit using the definition of relaxation function. A lower cutoff must be introduced to regularize infrared divergences, which allow us to obtain a full renormalization group equation for the Fermi velocity, which is solved up to order O(h^2).

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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