2006/03/10 by Endre Kovacs, E. Kovács, Zsolt Gulacsi +1
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum Mechanics and Non-Hermitian Physics #Quantum and electron transport phenomena #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1080/14786430500070412
published as Phil.Mag.86,1997-2009,(2006) · 10 pages, 7 figures
openalex publication_date 2006/03/10 · arxiv created 2006/04/12 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29
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 procedure used 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.