arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1208.3240cond-mat.mes-hall
收藏

悬浮石墨烯在狄拉克点的电导率

Conductivity of suspended graphene at the Dirac point

I. V. Gornyi, V. Yu. Kachorovskii, A. D. Mirlin

摘要:

我们研究了干净的悬浮石墨烯在狄拉克点的输运性质。在没有电子-电子相互作用的情况下,对电阻率的主要贡献来自与弯曲(面外变形)声子的相互作用。我们发现,声子限制的电导率与温度的比例为$T^{-η}, $,其中$η$是临界指数(等于$\approx 0.7$根据数值研究)描述的弯曲声子关联函数的重整化由于与面内声子的非谐耦合。电子-电子相互作用诱导了一种额外的散射机制,并通过屏蔽形变势而影响电子-声子散射。我们表明,这两种相互作用的组合效应的结果在电导率,可以表示为两个温度依赖的无量纲常数,$G[T]$和$G_e[T]$,其特征的电子-声子和电子-电子相互作用的强度,分别作为一个无量纲函数。我们还讨论了远离狄拉克点的电导率的行为以及杂质势的作用,并将我们的预测与现有的实验数据进行比较。

英文摘要:

We study transport properties of clean suspended graphene at the Dirac point. In the absence of the electron-electron interaction, the main contribution to resistivity comes from interaction with flexural (out-of-plane deformation) phonons. We find that the phonon-limited conductivity scales with the temperature as $T^{-η}, $ where $η$ is the critical exponent (equal to $\approx 0.7$ according to numerical studies) describing renormalization of the flexural phonon correlation functions due to anharmonic coupling with the in-plane phonons. The electron-electron interaction induces an additional scattering mechanism and also affects the electron-phonon scattering by screening the deformation potential. We demonstrate that the combined effect of both interactions results in a conductivity that can be expressed as a dimensionless function of two temperature-dependent dimensionless constants, $G[T]$ and $G_e[T]$ which characterize the strength of electron-phonon and electron-electron interaction, respectively. We also discuss the behavior of conductivity away from the Dirac point as well as the role of the impurity potential and compare our predictions with available experimental data.

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。

↑