格点间库仑相互作用的Gutzwiller变分法：一维无自旋费米子模型
Gutzwiller Variational Method for Intersite Coulomb Interactions: The Spinless Fermion Model in One Dimension
摘要：
我们研究了一维无自旋费米子模型的Gutzwiller方法，这是一个最简单的模型，包含了间库仑相互作用。该模型的Gutzwiller解已在文献中进行了研究，但结果不同。我们得到的Gutzwiller解决方案的问题，通过仔细枚举的多粒子配置和解释的起源，在文献中的差异是由于忽略了相邻的键占位符之间的相关性。Gutzwiller方法的正确实现产生不同于从玻色子平均场论的结果，不同于具有现场相互作用的哈伯德模型，其中已知两种方法是等效的。奴隶玻色子和Gutzwiller的结果相比，精确的解决方案，可用于半填充的情况下，和数值精确的对角化结果的情况下，一般填充。
英文摘要：
We study the Gutzwiller method for the spinless fermion model in one dimension, which is one of the simplest models that incorporates the intersite Coulomb interaction. The Gutzwiller solution of this model has been studied in the literature but with differing results. We obtain the Gutzwiller solution of the problem by a careful enumeration of the many-particle configurations and explain the origin of the discrepancy in the literature to be due to the neglect of the correlation between the neighbouring bond occupancies. The correct implementation of the Gutzwiller approach yields results different from the slave-boson mean-field theory, unlike for the Hubbard model with on-site interaction, where both methods are known to be equivalent. The slave-boson and the Gutzwiller results are compared to the exact solution, available for the half-filled case, and to the numerical exact diagonalization results for the case of general filling.
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。
