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arXiv 2102.06840cond-mat.mtrl-sci
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关联电子系统中的从头算电子-声子相互作用

Ab initio electron-phonon interactions in correlated electron systems

Jin-Jian Zhou, Jinsoo Park, Iurii Timrov, Andrea Floris, Matteo Cococcioni, Nicola Marzari, Marco Bernardi

摘要:

电子-声子($e$ -ph)相互作用在凝聚态物质中是普遍存在的,控制着诸如输运、超导、电荷密度波、极化子和金属-绝缘体转变等现象。第一性原理方法能够在广泛的固体中精确计算$e$ -ph相互作用。然而,它们仍然是一个开放的挑战,在相关电子系统(CES),密度泛函理论往往无法描述的基态。因此,对于许多过渡金属氧化物、高温超导体、莫特绝缘体、行星材料和多铁性材料,可靠的$e$ -ph计算仍然遥不可及。在这里,我们显示的第一性原理计算$e$ -ph相互作用的CES,使用Hubbard校正的密度泛函理论(DFT+ $U$)及其线性响应扩展(DFPT+ $U$)的框架,它可以描述许多CES的电子结构和晶格动力学。我们展示了一个原型莫特系统,CoO,进行详细的调查,其$e$ -pH值的相互作用和电子光谱功能,这种方法的准确性。虽然标准的DFPT给出了非物理发散和短程$e$ -ph相互作用,DFPT+ $U$被证明可以消除发散,并适当地考虑了长程Fröhlich相互作用,使我们能够在莫特绝缘体中模拟极化子效应。我们的工作建立了一个广泛适用的和负担得起的方法,在CES,一种新的理论工具来解释实验在这广泛的一类材料的e-ph相互作用的定量研究。

英文摘要:

Electron-phonon ($e$-ph) interactions are pervasive in condensed matter, governing phenomena such as transport, superconductivity, charge-density waves, polarons and metal-insulator transitions. First-principles approaches enable accurate calculations of $e$-ph interactions in a wide range of solids. However, they remain an open challenge in correlated electron systems (CES), where density functional theory often fails to describe the ground state. Therefore reliable $e$-ph calculations remain out of reach for many transition metal oxides, high-temperature superconductors, Mott insulators, planetary materials and multiferroics. Here we show first-principles calculations of $e$-ph interactions in CES, using the framework of Hubbard-corrected density functional theory (DFT+$U$ ) and its linear response extension (DFPT+$U$), which can describe the electronic structure and lattice dynamics of many CES. We showcase the accuracy of this approach for a prototypical Mott system, CoO, carrying out a detailed investigation of its $e$-ph interactions and electron spectral functions. While standard DFPT gives unphysically divergent and short-ranged $e$-ph interactions, DFPT+$U$ is shown to remove the divergences and properly account for the long-range Fröhlich interaction, allowing us to model polaron effects in a Mott insulator. Our work establishes a broadly applicable and affordable approach for quantitative studies of e-ph interactions in CES, a novel theoretical tool to interpret experiments in this broad class of materials.

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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