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arXiv 0808.2285cond-mat.mtrl-scicond-mat.mes-hall
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电子-电子关联对声子色散的影响:石墨烯和石墨中LDA和GGA泛函的失效

Impact of the electron-electron correlation on phonon dispersions: failure of LDA and GGA functionals in graphene and graphite

Michele Lazzeri, Claudio Attaccalite, Ludger Wirtz, Francesco Mauri

摘要:

我们使用各种从头算方法计算了石墨烯和石墨中选定声子模式的电子-声子耦合(EPC)。GW方法中包含的非局域交换相关效应使A $'_1$ { \bf K}模式的平方EPC相对于LDA和GGA近似中的密度泛函理论强重整化了近80 $%$。在GW中,A $'_1$ { \bf K}模式的声子斜率几乎是GGA和LDA中的两倍,与非弹性X射线散射和拉曼光谱的声子色散一致。混合B3 LYP泛函在{ \bf K}处高估EPC约30%。在Hartree-Fock近似下,石墨烯结构在{ \bf K}处的A $'_1$声子之后的畸变下显示不稳定性。

英文摘要:

We compute electron-phonon coupling (EPC) of selected phonon modes in graphene and graphite using various ab-initio methods. The inclusion of non-local exchange-correlation effects within the GW approach strongly renormalizes the square EPC of the A$'_1$ {\bf K} mode by almost 80$%$ with respect to density functional theory in the LDA and GGA approximations. Within GW, the phonon slope of the A$'_1$ {\bf K} mode is almost two times larger than in GGA and LDA, in agreement with phonon dispersions from inelastic x-ray scattering and Raman spectroscopy. The hybrid B3LYP functional overestimates the EPC at {\bf K} by about 30%. Within the Hartree-Fock approximation, the graphene structure displays an instability under a distortion following the A$'_1$ phonon at {\bf K}.

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