振动重整化电子能带结构的全非谐非微扰理论
Fully Anharmonic, Non-Perturbative Theory of Vibronically Renormalized Electronic Band Structures
摘要:
我们开发了一个第一性原理的方法,克服了国家的最先进的电子-声子耦合形式主义的主要限制,在固体中的振动相互作用的治疗。特别地,通过从头计算分子动力学模拟,核动力学中的非谐效应被考虑到所有的订单。这种非微扰,自洽的方法评估的响应的波函数沿计算的非谐轨迹,因此,它充分考虑了核和电子之间的耦合自由度。我们通过计算硅和立方钙钛矿SrTiO 3(一种具有软模式的强非谐材料)的温度依赖性,动量分辨光谱函数来验证和证明这一概念的优点。在后一种情况下,我们的方法表明,非谐性和高阶振动耦合在有限温度下对电子结构有很大的贡献,显著影响带隙和有效质量,因此影响宏观性质,如输运系数。
英文摘要:
We develop a first-principles approach for the treatment of vibronic interactions in solids that overcomes the main limitations of state-of-the-art electron-phonon coupling formalisms. In particular, anharmonic effects in the nuclear dynamics are accounted to all orders via ab initio molecular dynamics simulations. This non-perturbative, self-consistent approach evaluates the response of the wave functions along the computed anharmonic trajectory; thus it fully considers the coupling between nuclear and electronic degrees of freedom. We validate and demonstrate the merits of the concept by calculating temperature-dependent, momentum-resolved spectral functions for silicon and the cubic perovskite SrTiO3, a strongly anharmonic material featuring soft modes. In the latter case, our approach reveals that anharmonicity and higher-order vibronic couplings contribute substantially to the electronic-structure at finite-temperatures, noticeably affecting band gaps and effective masses, and hence macroscopic properties such as transport coefficients.
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