Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-12-16
Phys. Rev. B 79, 155121 (2009)
Physics
Condensed Matter
Strongly Correlated Electrons
revtex4, 6 pages, no figures; submitted to Phys. Rev. B
Scientific paper
10.1103/PhysRevB.79.155121
An interacting spin-fermion model is exactly solved on an open chain. In a certain representation, it is the nearest-neighbor Hubbard model in the limit of infinite $U$ (local interaction). Exact solution of its complete energy eigen-spectrum is accomplished by introducing a unitary transformation which maps the original problem to a tight-binding model of the fermions only. Physically, the exact solution implies the absence of Nagaoka ferromagnetism in the ground state for arbitrary electron densities. The present method solves a class of very general models exactly. Few more problems are discussed as an application of this unitary transform method.
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