Ground state wave functions for single-band Hubbard models from the Gutzwiller conjugate gradient minimisation theory

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2020-07-22
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Ye, Zhuo
Zhang, Feng
Yao, Yong-Xin
Wang, Cai-Zhuang
Ho, Kai-Ming
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Ames National Laboratory

Ames National Laboratory is a government-owned, contractor-operated national laboratory of the U.S. Department of Energy (DOE), operated by and located on the campus of Iowa State University in Ames, Iowa.

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Physics and Astronomy
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Ames National LaboratoryPhysics and Astronomy
Abstract

The Gutzwiller conjugate gradient minimisation (GCGM) theory is an ab initio quantum many-body theory for computing the ground-state properties of infinite systems. Previous applications of GCGM provides satisfying accuracy of ground-state energy of Hubbard models. In the current work, we address the problem of whether the obtained wave function is a good approximation for the true ground state by comparing the correlation functions with the benchmark data. Our results confirms the accuracy of the reproduced ground state of the regular Hubbard model, but with some exception for the frustrated Hubbard model.

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