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arXiv 1409.4945cond-mat.mtrl-sci
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高压下固体4 He中量子核效应和原子相互作用的第一性原理模拟

First-Principles Modeling of Quantum Nuclear Effects and Atomic Interactions in Solid 4He at High Pressure

Claudio Cazorla, Jordi Boronat

摘要:

本文采用第一性原理计算方法研究了T= 0 K、压力高达160 GPa的固体~ 4 He。我们的计算策略包括使用范德华密度泛函理论(DFT-vdW)来描述这种材料中的电子自由度,和扩散蒙特卡罗(DMC)方法来求解描述量子核行为的薛定谔方程。为此,我们构建了一个分析的相互作用函数的基础上的成对Aziz潜力,密切配合的体积变化的凝聚能计算与DFT-vdW在稠密的氦。有趣的是,我们发现当P > 85 GPa时,固体~ 4 He的动能并不随压缩而明显增加。此外,我们表明,林德曼比在致密固体4 He的金额为0.10几乎独立的压力。还研究了常用的准谐波DFT(QH DFT)方法在描述固体量子核效应中的可靠性。我们发现,QH DFT模拟,虽然提供了一个合理的状态方程与实验一致,是不能够正确地再现这些关键的影响,在压缩4 He。特别是,我们揭示了巨大的差异,至少~50%的计算4 He动能使用QH DFT和本DFT-DMC方法。

英文摘要:

We present a first-principles computational study of solid 4He at T=0K and pressures up to 160GPa. Our computational strategy consists in using van der Waals density functional theory (DFT-vdW) to describe the electronic degrees of freedom in this material, and the diffusion Monte Carlo (DMC) method to solve the Schrodinger equation describing the behavior of the quantum nuclei. For this, we construct an analytical interaction function based on the pairwise Aziz potential that closely matches the volume variation of the cohesive energy calculated with DFT-vdW in dense helium. Interestingly, we find that the kinetic energy of solid 4He does not increase appreciably with compression for P > 85GPa. Also, we show that the Lindemann ratio in dense solid 4He amounts to 0.10 almost independently of pressure. The reliability of customary quasi-harmonic DFT (QH DFT) approaches in the description of quantum nuclear effects in solids is also studied. We find that QH DFT simulations, although provide a reasonable equation of state in agreement with experiments, are not able to reproduce correctly these critical effects in compressed 4He. In particular, we disclose huge discrepancies of at least ~50% in the calculated 4He kinetic energies using both the QH DFT and present DFT-DMC methods.

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