Exact ground states for the four-electron problem in a Hubbard ladder

Details Exact ground states for the four-electron problem in a Hubbard ladder Exact ground states for the four-electron problem in a Hubbard ladder

2006-04-12

arxiv.org/abs/cond-mat/0604294v1

Phil.Mag.86,1997-2009,(2006)

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 7 figures

Scientific paper

10.1080/14786430500070412

The exact ground state of four electrons in an arbitrary large two leg Hubbard ladder is deduced from nine analytic and explicit linear equations. The used procedure is described, and the properties of the ground state are analyzed. The method is based on the construction in r-space of the different type of orthogonal basis wave vectors which span the subspace of the Hilbert space containing the ground state. In order to do this, we start from the possible microconfigurations of the four particles within the system. These microconfigurations are then rotated, translated and spin-reversed in order to build up the basis vectors of the problem. A closed system of nine analytic linear equations is obtained whose secular equation, by its minimum energy solution, provides the ground state energy and the ground state wave function of the model.

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