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arXiv 2004.01729physics.chem-phcond-mat.mtrl-sci
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温度-温度耦合集群:原型系统的有效实现和应用

Finite-temperature coupled cluster: Efficient implementation and application to prototypical systems

Alec F. White, Garnet Kin-Lic Chan

摘要:

我们讨论的理论和实现的有限温度耦合集群单打和双打(FT-CCSD)的方法,包括必要的方程的响应特性的有效实施。数值方面的方法,包括截断的轨道空间和集成的振幅方程进行了测试,在一些简单的系统,我们提供了一些指导方针,在实践中应用该方法。然后将该方法应用于一维哈伯德模型,在温暖,致密的条件下的均匀电子气,和一些简单的材料。模型系统在高温下的性能是令人鼓舞的:1维哈伯德模型FT-CCSD提供了一个定性准确的描述有限温度的相关效应,即使在$U = 8$,它允许计算的系统改进的交换相关能量的温暖,密集的UEG在广泛的条件。我们强调的障碍,仍然在使用现实的{ \it从头计算材料的方法。

英文摘要:

We discuss the theory and implementation of the finite temperature coupled cluster singles and doubles (FT-CCSD) method including the equations necessary for an efficient implementation of response properties. Numerical aspects of the method including the truncation of the orbital space and integration of the amplitude equations are tested on some simple systems, and we provide some guidelines for applying the method in practice. The method is then applied to the 1D Hubbard model, the uniform electron gas at warm, dense conditions, and some simple materials. The performance on model systems at high temperatures is encouraging: for the 1-dimensional Hubbard model FT-CCSD provides a qualitatively accurate description of finite-temperature correlation effects even at $U = 8$, and it allows for the computation of systematically improvable exchange-correlation energies of the warm, dense UEG over a wide range of conditions. We highlight the obstacles that remain in using the method for realistic {\it ab initio} calculations on materials.

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