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arXiv 1801.04798cond-mat.mes-hall
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存在弹性散射时的线性响应函数:石墨烯中的等离子体激元和二维电子气

Linear response function in the presence of elastic scattering: plasmons in graphene and the two-dimensional electron gas

M. Bahrami, P. Vasilopoulos

摘要:

在线性响应理论中,我们推导出一个响应函数,该函数充分考虑了弹性散射的影响,并且在长波长极限之外是有效的。我们将该理论应用于石墨烯和二维电子气(2DEG)中的等离子体激元,在随机相位近似下,对于前者考虑带内和带间激发。散射环修改的色散关系表明,低于临界散射强度$γ_c$,简单地与等离子体频率$ω$,没有等离子体是允许的。石墨烯中带内和带间跃迁的临界强度$γ_c$和允许的$(ω, q)$等离子体激元谱是不同的。在石墨烯和2DEG中,对于小的$ω$,强度$γ_c$迅速下降,但是对于大的$ω$,下降得慢得多。

英文摘要:

Within linear-response theory we derive a response function that thoroughly takes into account the influence of elastic scattering and is valid beyond the long-wavelength limit. We apply the theo-ry to plasmons in graphene and the two-dimensional electron gas (2DEG), in the random-phase ap-proximation, and for the former take into account intraband and interband excitations. The scatte-ring-modified dispersion relation shows that below a critical scattering strength $γ_c$, simply related to the plasmon frequency $ω$, no plasmons are allowed. The critical strengths $γ_c$ and the allowed $(ω, q)$ plasmon spectra for intraband and interband transitions in graphene are different. In both graphene and the 2DEG the strength $γ_c$ falls rapidly for small $ω$ but much more slowly for large $ω$.

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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