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arXiv 2408.12908cond-mat.mtrl-sci
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基于第一性原理的强非谐材料的载流子迁移率

Carrier Mobility of Strongly Anharmonic Materials from First Principles

Jingkai Quan, Christian Carbogno, Matthias Scheffler

AI总结:

针对强非谐系统中准粒子图像失效的问题,结合ab initio分子动力学与Kubo-Greenwood形式式提出非微扰随机方法计算载流子迁移率,克服收敛难题并揭示非谐高阶耦合对迁移率温度依赖性的主导作用。

摘要:

计算声子限制电子输运的第一性原理方法通常基于多体微扰理论和输运方程。因此,它们依赖于电子和声子准粒子图像的有效性,而该图像在强非谐系统中已知会失效。在本工作中,我们通过结合ab initio分子动力学和Kubo-Greenwood(KG)形式式,建立了一种非微扰的随机方法来计算载流子迁移率,同时考虑了所有阶的非谐和电子-振动耦合,从而证明了超越准粒子图像效应的相关性。特别地,我们提出并利用了几种数值策略,克服了KG形式式在晶体固体中电子和核自由度上臭名昭著的慢收敛问题。通过在宽温度范围内计算强非谐氧化物钙钛矿SrTiO3和BaTiO3的温度依赖性电子迁移率,展示了该方法的能力。我们表明,迁移率的温度依赖性主要由非谐的高阶耦合效应驱动,并通过非微扰电子谱函数合理化了这些趋势。

英文摘要:

First-principle approaches for phonon-limited electronic transport are typically based on many-body perturbation theory and transport equations. With that, they rely on the validity of the quasi-particle picture for electrons and phonons, which is known to fail in strongly anharmonic systems. In this work, we demonstrated the relevance of effects beyond the quasi-particle picture by combining ab initio molecular dynamics and the Kubo-Greenwood (KG) formalism to establish a non-perturbative, stochastic method to calculate carrier mobilities while accounting for all orders of anharmonic and electron-vibrational couplings. In particular, we propose and exploit several numerical strategies that overcome the notoriously slow convergence of the KG formalism for both electronic and nuclear degree of freedom in crystalline solids. The capability of this method is demonstrated by calculating the temperature-dependent electron mobility of the strongly anharmonic oxide perovskites SrTiO3 and BaTiO3 across a wide range of temperatures. We show that the temperature-dependence of the mobility is largely driven by anharmonic, higher-order coupling effects and rationalize these trends in terms of the non-perturbative electronic spectral functions.

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