Abstract
Much theoretical work has been devoted to developing numerical aproximate methods to solve and understand models of correlated electron systems. We propose an algorithm based on arbitrary boundary conditions for the small cluster approach, which drastically improves the convergence towards the infinity length limit. When applied to the one-dimensional Hubbard model, we obtain excellent agreement for the ground state energy and different correlation functions, in comparison with exact result and other aproximation methods, even for very small number of sites.
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