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.
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The research was carried out within the state assignment of the Ministry Science and Higher Education of the Russian Federation (theme Quantum no. AAAA-A18-118020190095-4).
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Translated by I. Nikitin
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Zhuravlev, A.K. Cumulant t-Expansion for Strongly Correlated Electrons on a Lattice. J. Exp. Theor. Phys. 131, 460–467 (2020). https://doi.org/10.1134/S1063776120090113
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DOI: https://doi.org/10.1134/S1063776120090113