Abstract

A systematic nonperturbative scheme for calculating the ground state energy is adapted for studying systems of strongly correlated electrons on a lattice. It includes a method for calculating the cumulants of the Hamiltonian and a method, using the t-expansion, for constructing successive approximations to the ground state energy by these cumulants. The scheme is applied to spinless fermion and Hubbard models, and a method is proposed to overcome the problems found in previous attempts to use this scheme to study the Hubbard model.

中文翻译：

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晶格上强相关电子的累积t展开

摘要

一种用于计算基态能量的系统非扰动方案适用于研究晶格上强相关电子的系统。它包括一种计算哈密顿量的哈密顿量的方法，以及一种使用t展开来构造这些累积量对基态能量的逐次逼近的方法。该方案被应用于无旋费米子和哈伯德模型，并提出了一种方法来克服以前尝试使用该方案研究哈伯德模型时发现的问题。