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arXiv 2407.03090cond-mat.mtrl-scicond-mat.stat-mechphysics.comp-ph
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临界系统中非简谐声子谱的模拟:自洽声子与温度依赖有效势方法

Simulating the anharmonic phonon spectrum in critical systems: self-consistent phonons and temperature-dependent effective potential methods

Lorenzo Monacelli

AI总结:

针对临界位移行为材料中分子动力学的临界慢化问题,本文评估了自洽声子与TDEP等方法在临界量上的准确性,引入新TDEP实现修正动态谱计算,并通过一维非简谐势及两种晶体验证了方法有效性。

摘要:

理解和模拟受强离子非简谐性影响的材料的热力学与动力学性质是材料科学的核心挑战。人们对表现出临界位移行为的材料兴趣浓厚,例如铁电相变附近、电荷密度波或一般位移型二阶相变中的材料。在这些情况下,分子动力学存在临界慢化问题,且序参量会出现长程涨落。为解决此问题出现了两种主要方法:声子的自洽重整化(如自洽简谐近似SCHA和自洽声子SCP),以及从短分子动力学轨迹拟合势能面的方法(如温度依赖有效势TDEP)。尽管这些方法被广泛使用,但其在临界点附近的局限性常被忽视。本文建立了一套指导规则,用于评估每种方法在临界量上的准确性:计算相图的自由能、推断相稳定性和临界行为的静态关联函数,以及振动谱和热输运的动态关联函数。此外,本文还引入了一种新的TDEP实现,以修正动态谱的计算,恢复被标准TDEP方法破坏的正确微扰极限。研究结果通过精确的一维非简谐势和两种典型非简谐晶体(铁电PbTe和金属卤化物钙钛矿CsSnI3)进行了基准测试。

英文摘要:

Understanding and simulating the thermodynamic and dynamical properties of materials affected by strong ionic anharmonicity is a central challenge in material science. Much interest is in material displaying critical displacive behaviour, such as near a ferroelectric transition, charge-density waves, or in general displacive second-order transitions. In these cases, molecular dynamics suffer from a critical slowdown and emergent long-range fluctuations of the order parameter. Two prominent methods have emerged to solve this issue: Self-consistent renormalization of the phonons like the Self-Consistent Harmonic Approximation (SCHA) and Self-Consistent Phonons (SCP), and methods that fit the potential energy landscape from short molecular dynamics trajectories, like the Temperature-Dependent Effective Potential (TDEP). Despite their widespread use, the limitations of these methods are often overlooked in the proximity of critical points. Here, we establish a guiding rule set for the accuracy of each method on critical quantities: free energy for computing the phase diagrams, static correlation functions for inferring phase stability and critical behaviours, and dynamic correlation functions for vibrational spectra and thermal transport. Also, a new TDEP implementation is introduced to fix the calculation of dynamical spectra, restoring the correct perturbative limit violated by the standard TDEP approach. Results are benchmarked both against an exact one-dimensional anharmonic potential and two prototypical anharmonic crystals: the ferroelectric PbTe and the metal-halide perovskite CsSnI3.

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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