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arXiv 2101.07052cond-mat.mtrl-sciphysics.chem-ph
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用交换随机相近似精确描述晶体的多晶性

Random phase approximation with exchange for an accurate description of crystalline polymorphism

Maria Hellgren, Lucas Baguet

摘要:

我们确定的BN,SiO $_2$和冰的多晶型物采用最近开发的RPAx(随机相位近似与交换)的方法的相关能。与RPA相比,RPAx提供更大和更准确的极化率,并捕获各向异性的影响。反过来,定义为密度-密度响应函数的积分的相关能给出改进的结合能,而不需要误差消除。在这里,我们证明了这些特征对于预测不同配位数的低压和高压多晶型物之间的相对能量是至关重要的,例如,SiO $_2$中的$α$ -石英和方石英之间的过渡,或层状和立方BN。此外,一个可靠的(H $_2$ O)$_2$势能面,必要的描述冰的各个阶段。RPAx给出的结果与其他高级方法(如耦合簇和量子蒙特卡罗)相当,即使在RPA崩溃的情况下也是如此。虽然比RPA更高的计算成本,我们观察到一个更快的收敛相对于响应函数中的特征值的数量。

英文摘要:

We determine the correlation energy of BN, SiO$_2$ and ice polymorphs employing a recently developed RPAx (random phase approximation with exchange) approach. The RPAx provides larger and more accurate polarizabilities as compared to the RPA, and captures effects of anisotropy. In turn, the correlation energy, defined as an integral over the density-density response function, gives improved binding energies without the need for error cancellation. Here, we demonstrate that these features are crucial for predicting the relative energies between low- and high-pressure polymorphs of different coordination number as, e.g., between $α$-quartz and stishovite in SiO$_2$, or layered and cubic BN. Furthermore, a reliable (H$_2$O)$_2$ potential energy surface is obtained, necessary for describing the various phases of ice. The RPAx gives results comparable to other high-level methods such as coupled cluster and quantum Monte Carlo, also in cases where the RPA breaks down. Although higher computational cost than RPA we observe a faster convergence with respect to the number of eigenvalues in the response function.

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